Vortex Element Methods for Flow Simulation
Tài liệu tham khảo
Abernathy, 1962, The formation of vortex streets, J. Fluid Mech., 13, 1, 10.1017/S0022112062000452
Acton, 1976, The modelling of large eddies in a two-dimensional shear layer, J. Fluid Mech., 76, 561, 10.1017/S0022112076000785
Agüi, 1988, Flow visualization and numerical analysis of a coflowing jet: A three-dimensional approach, J. Fluid Mech., 191, 19, 10.1017/S0022112088001508
Anderson, 1986, A method of local corrections for computing the velocity field due to a distribution of vortex blobs, J. Comput. Phys., 62, 111, 10.1016/0021-9991(86)90102-6
Anderson, 1985, On vortex methods, SIAM J. Numer. Anal., 22, 413, 10.1137/0722025
Anderson, 1990, On the accurate calcuation of vortex shedding, Phys. Fluids A, 2, 883, 10.1063/1.857646
Archibald, 1975, Unsteady Kutta condition at high values of the reduced frequency parameter, J. Aircraft, 12, 545, 10.2514/3.44472
Aref, 1983, Integrable, chaotic and turbulent vortex motion in two-dimensional flows, Ann. Rev. Fluid Mech., 15, 345, 10.1146/annurev.fl.15.010183.002021
Aref, 1984, 43
Aref, 1984, Dynamics of a vortex filament in a shear flow, J. Fluid Mech., 148, 477, 10.1017/S0022112084002457
Aref, 1988, Report on the IUTAM symposium: Fundamental aspects of vortex motion, J. Fluid Mech, 190, 571, 10.1017/S0022112088001466
Aref, 1980, Vortex dynamics of the two-dimensional turbulent shear layer, J. Fluid Mech., 100, 705, 10.1017/S0022112080001371
Aref, 1992, Gröbli's solution of the three-vortex problem, Ann. Rev. Fluid Mech., 24, 1, 10.1146/annurev.fl.24.010192.000245
Arms, 1965, Localized-induction concept on curved vortex and motion of an elliptic vortex ring, Phys. Fluids., 8, 553, 10.1063/1.1761268
Asfar, 1979, Application of the vortex-lattice technique to arbitrary bodies, J. Aircraft, 16, 421, 10.2514/3.58543
Ashurst, 1979, Numerical Simulation of Turbulent Mixing Layers via Vortex Dynamics, 402
Ashurst, 1981, Vortex ring instability, Bull. Am. Phys. Soc., 26, 1267
W.T. Ashurst, (1983). Large eddy simulation via vortex dynamics. AIAA Paper 83–1879-CP
Ashurst, 1987, Vortex simulation of unsteady wrinkled laminar flames, Combust. Sci. Tech., 52, 325, 10.1080/00102208708952582
Ashurst, 1993, Flame propagation through swirling eddies. A recursive pattern, Comb. Sci. & Tech., 92, 87, 10.1080/00102209308907663
Ashurst, 1988, Three-dimensional shear layers via vortex dynamics, J. Fluid. Mech., 189, 87, 10.1017/S0022112088000928
Ashurst, 1987, Numerical study of vortex reconnection, Phys. Rev. Lett., 58, 1632, 10.1103/PhysRevLett.58.1632
Baden, 1988, A fast vortex code for computing 2-D flow in a box, Proc. 1st Natl. Fluid Dyn. Cong., 1, 185
G.R. Baker, (1977). Roll up of a vortex sheet using the “cloud-in-cell” technique. In: Proc. Aircraft Wake Vortices Conference (J. N. Hallock, ed.), 1, 124–135
Baker, 1979, The “cloud in cell” technique applied to the roll-up of vortex sheets, J. Comput. Phys., 31, 76, 10.1016/0021-9991(79)90063-9
Baker, 1980, A test of the method of Fink and Soh for following vortex sheet motion, J. Fluid Mech., 100, 209, 10.1017/S0022112080001097
Baker, 1982, Generalized vortex methods for free-surface flow problems, J. Fluid Mech., 123, 477, 10.1017/S0022112082003164
B.S. Baldwin, H. Lomax, (1978). Thin layer approximation and algebraic model for separated turbulent flows. AIAA Paper 78–257
Basu, 1978, The unsteady motion of a two-dimensional aerofoil in incompressible inviscid flow, J. Fluid Mech., 87, 159, 10.1017/S0022112078002980
Basuki, 1987, Discrete vortex computation of separated airfoil flow, AIAA J., 25, 1409, 10.2514/3.9796
Batchelor, 1967
Beale, 1986
Beavers, 1970, Vortex growth in jets, J. Fluid Mech., 44, 97, 10.1017/S0022112070001714
Belotserkovsky, 1993
Benzi, 1992, A simple point vortex model for two-dimensional decaying turbulence, Phys. Fluids A, 4, 1036, 10.1063/1.858254
K.H. Bergman, (1969). On the dynamic stability of converted atmospheric vortices. Ph.D. Thesis, Univ. of Washington, Seattle
Berkooz, 1993, The proper orthogonal decomposition in the analysis of turbulent flows, Ann. Rev. Fluid Mech., 25, 539, 10.1146/annurev.fl.25.010193.002543
Betchov, 1965, On the curvature and torsion of an isolated vortex filament, J. Fluid Mech., 22, 471, 10.1017/S0022112065000915
Birdsall, 1969, Clouds-in-clouds, clouds-in cells, physics for many-body plasma simulation, J. Comput. Phys., 3, 494, 10.1016/0021-9991(69)90058-8
G. Birkhoff, (1962). Helmholtz and Taylor instability. In: Proc. Symp. on Appl. Math. 13, Am. Math. Soc., pp. 55–76
Birkhoff, 1959, Do vortex sheets roll up?, Rc. Circ. Mat. Palermo, Ser. 2, 8, 77, 10.1007/BF02843773
Bouard, 1980, The early stage of development of the wake behind an impulsively started cylinder for 40 < Re < 104, J. Fluid Mech., 101, 583, 10.1017/S0022112080001814
Breit, 1992, Computing boundary forces due to unsteady, inviscid, incompressible flow, AIAA J., 30, 592, 10.2514/3.10961
Broadwell, 1986, Implications of recent experimental results for modeling reactions in turbulent flows, AIAA J., 24, 885, 10.2514/3.9363
Bromilow, 1982, Some techniques for extending the applications of the discrete vortex method of flow simulation, Aeronaut. Quart., 33, 73, 10.1017/S0001925900009306
Brown, 1954, Effect of leading-edge separation on the lift of a delta wing, J. Aero. Sci., 21, 690, 10.2514/8.3180
Brown, 1974, On density effects and large structure in turbulent mixing layers, J. Fluid Mech., 64, 775, 10.1017/S002211207400190X
Bryson, 1959, Symmetric vortex separation on circular cylinders and cones, J. Appl. Mech. Trans. ASME Ser. E, 81, 643, 10.1115/1.4012127
Buneman, 1974, Variationally optimized, grid-insensitive vortex tracing, 35
Buttke, 1988, A numerical study of superfluid turbulence in the self-induction approximation, J. Comput. Phys., 76, 301, 10.1016/0021-9991(88)90145-3
B. Cantaloube, S. Huberson, (1983). A new approach using vortex point method for prediction of rotor performance in hover and forward flight. In: 9eme Forum European ďHelicoptere, Stresa
Cantwell, 1981, Organized motion in turbulent flow, Ann. Rev. Fluid Mech., 13, 457, 10.1146/annurev.fl.13.010181.002325
Canuto, 1987
Carnevale, 1991, Evolution of vortex statistics in two-dimensional turbulence, Phys. Rev. Lett., 66, 2735, 10.1103/PhysRevLett.66.2735
R.J. Cattolica, P.K. Barr, N.N. Mansour, (1987). Propagation of a premixed flame in a divided-chamber combustor. AIAA Paper 87–0222
Chang, 1988, Random vortex methods for the Navier-Stokes equations, J. Comput. Phys., 76, 281, 10.1016/0021-9991(88)90144-1
Chang, 1991, A numerical study of flow around an impulsively started circular cylinder by a deterministic vortex method, J. Fluid Mech., 233, 243, 10.1017/S0022112091000472
M.S. Chang, P.C. Pien, (1975). Hydrodynamic forces on a body moving beneath a free surface. In: Proc. First Int. Conf. on Numer. Ship Hydrodynamics. DTNSRDC, Bethesda, Maryland, pp. 539–559
Chaplin, 1973, Computer model of vortex shedding from a cylinder, Proc. ASCE, J. Hyd. Div., HY1, 155, 10.1061/JYCEAJ.0003549
Cheer, 1983, A study of incompressible 2-D vortex flow past a circular cylinder, SIAM J., Sci. Stat. Comput., 4, 685, 10.1137/0904047
Choquin, 1988, Sur ľanalyse ďune classe de méthodes de vortex tridimensionnelles, C. R. Acad. Sci. Paris, Série I, 306, 739
Chorin, 1973, Numerical study of slightly viscous flow, J. Fluid Mech., 57, 785, 10.1017/S0022112073002016
Chorin, 1978, Vortex sheet approximation of boundary layers, J. Comput. Phys., 27, 428, 10.1016/0021-9991(78)90019-0
Chorin, 1980, Vortex models and boundary layer instability, SIAM J. Sci. Stat. Comput., 1, 1, 10.1137/0901001
Chorin, 1973, Discretization of a vortex sheet with an example of roll-up, J. Comput. Phys., 13, 423, 10.1016/0021-9991(73)90045-4
M.-H. Chou, (1985). A numerical method for inviscid two-dimensional flow past an inclined plate. Ph.D. Thesis, Courant Institute of Mathematical Sciences, New York
Christiansen, 1973, Numerical simulation of hydromechanics by the method of point vortices, J. Comput. Phys., 13, 363, 10.1016/0021-9991(73)90042-9
Christiansen, 1973, Instability, coalescence and fission of finite area vortex structures, J. Fluid Mech., 61, 219, 10.1017/S0022112073000686
R.W. Claus, (1986). Direct numerical simulations of a temporally evolving mixing layer subject to forcing. NASA TM 88896 (see also Proc. 10th Symp. on Turbulence, Univ. Missouri, Rolla)
Clements, 1973, An inviscid model of two-dimensional vortex shedding, J. Fluid Mech., 57, 321, 10.1017/S0022112073001187
Clements, 1975, The representation of sheets of vorticity by discrete vortices, Prog. Aerospace Sci., 16, 129, 10.1016/0376-0421(75)90013-5
Cohen, 1987, The evolution of instabilities in the axisymmetric jet. Part 1. The linear growth of disturbances near the nozzle, J. Fluid Mech., 176, 191, 10.1017/S0022112087000624
Conlisk, 1981, Modelling of vortex-corner interaction using point vortices, Phys. Fluids, 24, 2133, 10.1063/1.863327
Crighton, 1975, Basic principles of aerodynamic noise generation, Prog. Aerospace Sci., 16, 397, 10.1016/0376-0421(75)90010-X
Crighton, 1985, The Kutta condition in unsteady flow, Ann. Rev. Fluid Mech., 17, 411, 10.1146/annurev.fl.17.010185.002211
Crow, 1970, Stability theory for a pair of trailing vortices, AIAA J., 8, 2172, 10.2514/3.6083
Damms, 1974, On a vortex-sheet model for the mixing between two parallel streams, Proc. Roy. Soc. London A, 339, 451, 10.1098/rspa.1974.0133
Da Rios, 1906, Sul moto ďun liquido indefinito con un filetto di forma qualunque, Rend. Circ. Mat. Palermo, 22, 117, 10.1007/BF03018608
P.O. Davies, A. L., J.C. Hardin, A.V. J. Edwards, J.P. Mason, (1975). A potential flow model for calculation of jet noise. AIAA Paper 75–441
M.D. Davis, (1969). An analytical study of separated flow about a circular cylinder. M.Sc. Thesis, Naval Postgraduate School, Monterey, California
C. Dawson, M. Marcus, (1970). DMC—a computer code to simulate viscous flow about arbitrarily shaped bodies. In: Proc. 1970 Heat Transfer and Fluid Mechanics Inst. (T. Sarpkaya, ed.), Stanford, pp. 323–338
De Bernardinis, 1985, A ring-vortex representation of an axi-symmetric vortex sheet, 33
De Bernardinis, 1981, Oscillatory flow around disks and through orifices, J. Fluid Mech., 102, 279, 10.1017/S0022112081002644
Deem, 1978, Stationary V-states, interactions, recurrence, and breaking, 277
Deffenbaugh, 1976, Time development of the flow about an impulsively started cylinder, AIAA J., 14, 908, 10.2514/3.7165
Degond, 1989, The weighted particle method for convection-diffusion equations. Part I: The case of an isotropic vorticity; Part II: The anisotropic case, Math. Comp., 53, 485
A.L. Dickinson, (1988). Computation of the forces and far-field sound radiation from an unsteady two-dimensional airfoil using the vortex method. MS Thesis in ME, MIT, Cambridge, Massachusetts
P.S. Dolan, J.M. R. Graham, J.A. Young, (1990). Computation of unsteady two-dimensional separated flow using hybrid mesh techniques. In: Proc. Intnl. Symp. on Non-steady Fluid Dynamics, ASME 92, 33–40
R.J. Donnelly, (1988). Superfluid turbulence. Scientific American, November, pp. 100–108
Donnelly, 1986, Quantum turbulence, J. Fluid Mech., 173, 387, 10.1017/S0022112086001210
D.J. Doorly, T. Sommer, J.M. R. Graham, C.H. Liu, (1992). Computation of unsteady shear layers using a 3-D vortex particle in cell approach. In: Proc. of the 6th Int. Conf. on Boundary and Interior Layers 1, 1–4, Colorado
Dritschel, 1986, The nonlinear evolution of rotating configurations of uniform vorticity, J. Fluid. Mech., 172, 157, 10.1017/S0022112086001696
Dritschel, 1988, Nonlinear stability bounds for inviscid, two-dimensional, parallel or circular flows with monotonic vorticity, and the analogous three-dimensional, quasi-geostrophic flows, J. Fluid Mech., 191, 575, 10.1017/S0022112088001715
Dritschel, 1988, Contour surgery: A topological reconnection scheme for extended integrations using contour dynamics, J. Comput. Phys., 77, 240, 10.1016/0021-9991(88)90165-9
Dritschel, 1993, Vortex properties of two-dimensional turbulence, Phys. Fluids A, 5, 984, 10.1063/1.858643
R.E. Duffy, E. Czajkowski, C. Jaran, (1984). Finite element approximation to Theodorsen's solution for non-steady aerodynamics of an airfoil section. AIAA Paper 84–1640
Dushane, 1973, Convergence for a vortex method for solving Euler's equation, Math. Comp., 27, 719
Eastwood, 1975, Optimal particle-mesh algorithms, J. Comput. Phys., 18, 1, 10.1016/0021-9991(75)90099-6
Eastwood, 1974, Shaping the force law in two-dimensional particle mesh models, J. Comput. Phys., 16, 342, 10.1016/0021-9991(74)90044-8
Eaton, 1987, Analysis of laminar vortex shedding behind a circular cylinder by computer-aided flow visualization, J. Fluid Mech., 180, 117, 10.1017/S0022112087001757
Edwards, 1954, Leading-edge separation from delta wings, J. Aeronaut. Sci., 21, 134
Erlebacher, 1987, Adaptive triangular mesh generation, AIAA J., 25, 1356, 10.2514/3.9790
Evans, 1977, The starting mechanism of wave-induced flow through a sharp-edged orifice, J. Fluid Mech., 82, 115, 10.1017/S002211207700055X
P.T. Fink, W.K. Soh, (1974). Calculation of vortex sheets in unsteady flow and applications in ship hydrodynamics. In: Proc. of the 10th Symp. on Naval Hydro. Cambridge, Massachusetts, pp. 463–488. (Also Univ. New South Wales Rep. Nav/Arch 74/1)
Fink, 1978, A new approach to roll-up calculations of vortex sheets, Proc. Roy. Soc. London A, 362, 195, 10.1098/rspa.1978.0128
Fishelov, 1990, Vortex methods for slightly viscous three-dimensional flow, SIAM J. Sci. Stat. Comput., 11, 485, 10.1137/0911024
Fishelov, 1990, A new vortex scheme for viscous flows, J. Comp. Phys., 86, 211, 10.1016/0021-9991(90)90098-L
Gad-el-Hak, 1985, The discrete vortices from a delta wing, AIAA J., 23, 961, 10.2514/3.9016
Gad-el-Hak, 1987, Control of discrete vortices from a delta wing, AIAA J., 25, 1042, 10.2514/3.9740
Gerrard, 1967, Numerical computation of the magnitude and frequency of the lift on a circular cylinder, Phil. Trans. Roy. Soc., 261, 137, 10.1098/rsta.1967.0001
Ghoniem, 1987, Vortex simulation of laminar recirculating flow, J. Comput. Phys., 68, 346, 10.1016/0021-9991(87)90062-3
Ghoniem, 1987, Numerical study of a forced shear layer, Phys. Fluids, 30, 706, 10.1063/1.866321
Ghoniem, 1986, Formation and inflammation of a turbulent jet, AIAA J., 24, 224, 10.2514/3.9249
A.F. Ghoniem, H.M. Aly, O.M. Knio, (1987a). Three-dimensional vortex simulation with application to axisymmetric shear layer. AIAA Paper 87–0379
A.F. Ghoniem, G. Heidarinejad, A. Krishnan, (1987b). Numerical simulation of a reacting shear layer using the transport element method. AIAA Paper 87–1718
Giannakidis, 1992, Calculation of potential flow around airfoils using a discrete vortex method, AIAA J., 30, 1689, 10.2514/3.11124
Giesing, 1969, Vorticity and Kutta condition for unsteady multienergy flows, J. Appl. Mech., ASME, 36, 608, 10.1115/1.3564724
Glimm, 1965, Solutions in the large for nonlinear hyperbolic systems of conservation laws, Comm. Pure Appl. Math., 18, 697, 10.1002/cpa.3160180408
Goodman, 1990, Convergence of the point vortex method for 2-D Euler equations, Comm. Pure Appl. Math., 43, 415, 10.1002/cpa.3160430305
Govindaraju, 1971, Flow in a turbulent trailing vortex, Phys. Fluids, 14, 2074, 10.1063/1.1693295
W.J. Grabowski, J.G. Telste, (1978). A discrete vortex simulation of a two-dimensional shear layer with prediction of the hydrodynamic noise. DTNSRDC-78/050, Bethesda, Maryland
J.M. R. Graham, (1977). Vortex shedding from sharp edges. Imp. Coll. London, Aero. Rep., 77–06, ISSN 0308 7247
Graham, 1980, The forces on sharp-edged cylinders in oscillatory flow at low Keulegan-Carpenter numbers, J. Fluid Mech., 97, 331, 10.1017/S0022112080002595
Graham, 1985, Numerical simulation of steady and unsteady flow about sharp-edged bodies
Graham, 1986, Application of discrete vortex methods to the computation of separated flows, 7
Graham, 1988, Computation of viscous separated flow using a particle method
Greengard, 1985, The core spreading vortex method approximates the wrong equation, J. Comput. Phys., 61, 345, 10.1016/0021-9991(85)90091-9
Greengard, 1987, A fast algorithm for particle simulations, J. Comput. Phys., 73, 325, 10.1016/0021-9991(87)90140-9
Greengard, 1988, Singular vortex systems and weak solutions of the Euler equations, Phys. Fluids, 31, 2810, 10.1063/1.866988
Grinstein, 1986, Numerical simulations of asymmetric mixing in planar shear flows, J. Fluid Mech., 165, 201, 10.1017/S0022112086003051
O.H. Hald, (1985). Convergence of vortex methods for Euler's equations: III. PAM-270, Pure and Appl. Math. Ctr., Univ. Calif., Berkeley
Ham, 1968, Aerodynamic loading on a two-dimensional airfoil during dynamic stall, AIAA J., 6, 1927, 10.2514/3.4902
Hama, 1962, Progressive deformation of a curved vortex filament by its own induction, Phys. Fluids, 5, 1156, 10.1063/1.1706500
Hama, 1963, Progressive deformation of a perturbed line vortex filament, Phys. Fluids, 6, 526, 10.1063/1.1706768
Hama, 1988, Genesis of the LIA, Fluid Dyn. Res., 3, 149, 10.1016/0169-5983(88)90058-5
F.R. Hama, E.R. Burke, (1960). On the rolling up of a vortex sheet. College Park: Univ. of Maryland TN No. BN-220. Also AFOSR, SUDAER No. 202
J.C. Hardin, (1973). Analysis of noise produced by an orderly structure of turbulent jets. NASA TN D-7242
J.C. Hardin, P.J. Block, (1979). Evaluation of a vortex model of turbulent cavity flow. NASA TN-1505
Hardin, 1977, Broadband noise generation by a vortex model of cavity flow, AIAA J., 15, 632, 10.2514/3.60671
Harlow, 1964, The particle-in-cell computing method for fluid dynamics, 3, 319
Hasimoto, 1972, A soliton on a vortex filament, J. Fluid Mech., 51, 477, 10.1017/S0022112072002307
Hasimoto, 1988, Elementary aspects of vortex motion, Fluid Dyn. Res., 3, 1, 10.1016/0169-5983(88)90038-X
H. Helmholtz, (1858). Uber Integrale der hydrodynamischen Gleichungen, welsche den Wirbelbewegungen entsprechen. Crelle-Borchardt, J. Reine angewandte Mathematik, Berlin LV, 25–55. See also On integrals of the hydrodynamical equations which express vortex-motion. Transl., P. G. Tait, in Phil. Mag. (4) 33, 485–512. (1867)
Henningson, 1987, Numerical simulations of turbulent spots in plane Poiseuille and boundary layer flow, Phys. Fluids, 30, 2914, 10.1063/1.866067
Hess, 1981
Hess, 1964, Calculation of nonlifting potential flow about arbitrary three-dimensional bodies, J. Ship Res., 8, 22, 10.5957/jsr.1964.8.4.22
Higdon, 1985, The self-induced motion of vortex sheets, J. Fluid Mech., 150, 203, 10.1017/S0022112085000106
Ho, 1981, Unsteady Kutta condition of a plunging airfoil, 197
Ho, 1984, Perturbed free shear layers, Ann. Rev. Fluid Mech., 16, 365, 10.1146/annurev.fl.16.010184.002053
Hockney, 1981
Hockney, 1974, Quiet high-resolution computer models of a plasma, J. Comput. Phys., 14, 148, 10.1016/0021-9991(74)90010-2
H.W. M. Hoeijmakers, (1983). Computational vortex flow aerodynamics. AGARD CP-342, Paper 18
Hoeijmakers, 1983, A higher-order panel method applied to vortex sheet roll-up, AIAA J., 21, 516, 10.2514/3.8108
Hou, 1991, A survey on convergence analysis for point vortex methods, 28
Hou, 1990, Convergence of the point vortex method for the 3-D Euler equations, Comm. Pure Appl. Math., 43, 965, 10.1002/cpa.3160430803
Howe, 1989, On unsteady surface forces, and sound produced by the normal chopping of a rectilinear vortex, J. Fluid Mech., 206, 131, 10.1017/S0022112089002259
Hsu, 1988, Vortex flow model for the blade-vortex interaction problem, AIAA J., 26, 621, 10.2514/3.9943
Hunt, 1980, The mathematical basis and numerical principles of the boundary integral method for incompressible and potential flow over 3-D aerodynamic configurations, 49
Inamuro, 1983, A numerical analysis of unsteady separated flow by vortex shedding model, Bull. JSME, 26, 2106, 10.1299/jsme1958.26.2106
Inamuro, 1984, A numerical analysis of unsteady separated flow by the discrete vortex method combined with the singularity method, Computers and Structures, 19, 75, 10.1016/0045-7949(84)90205-0
Inoue, 1985, Vortex simulation of a turbulent mixing layer, AIAA J., 23, 367, 10.2514/3.8922
Inoue, 1985, A new approach to flow problems past a porous plate, AIAA J., 23, 1916, 10.2514/3.9196
Inoue, 1987, Vortex simulation of forced/unforced mixing layers, AIAA J., 25, 1417, 10.2514/3.9798
Kamemoto, 1990, Numerical simulation of the flow around a three-dimensional bluff body moving close to a ground plane, 93
Katz, 1991
Kaykayoglu, 1992, Hybrid moving vortex diffusive method simulation of the challenging aspects of vorticity field-edge interaction, Appl. Mech. Div. ASME, 7, 11
Kaykayoglu, 1985, Vortices incident upon a leading-edge: Instantaneous pressure fields, J. Fluid Mech., 156, 439, 10.1017/S002211208500218X
S.N. Kempka, J.H. Strickland, (1933). A method to simulate viscous diffusion of vorticity by convective transport of vortices at a non-solenoidal velocity. Albuquerque, New Mexico: Sandia Report SAND93–1763
Kennedy, 1976, Potential flow about arbitrary bodies, Can. Aeronaut. Space J., 22, 243
Kerr, 1988, Simulation of Rayleigh-Taylor flows using vortex blobs, J. Comput. Phys., 76, 48, 10.1016/0021-9991(88)90131-3
Kida, 1987, Bridging in vortex reconnection, Phys. Fluids, 30, 2911, 10.1063/1.866066
J.M. Kim, N.M. Komerath, (1993). Summary of the interaction of a rotor wake with a circular cylinder. AIAA Paper 93–3084
Kiya, 1977, A contribution to an inviscid vortex-shedding model for an inclined flat plate in uniform flow, J. Fluid Mech., 82, 223, 10.1017/S0022112077000627
Kiya, 1977, An inviscid numerical simulation of vortex shedding from an inclined flat plate in shear flow, J. Fluid Mech., 82, 241, 10.1017/S0022112077000639
Kiya, 1988, Vortex dynamics simulation of interacting vortex rings and filaments, Fluid Dyn. Res., 3, 197, 10.1016/0169-5983(88)90065-2
Kiya, 1990, Deformation and splitting of non-circular vortex rings, 101
Kiya, 1982, Discrete-vortex simulation of a turbulent separation bubble, J. Fluid Mech., 120, 219, 10.1017/S0022112082002742
O.M. Knio, A.F. Ghoniem, (1988). On the formation of streamwise vorticity in turbulent shear flows. AIAA Paper 88–0728
Knio, 1991, Three-dimensional vortex simulation of rollup and entrainment in a shear layer, J. Comput. Phys., 97, 172, 10.1016/0021-9991(91)90044-L
Knio, 1992, The three-dimensional structure of periodic vorticity layers under non-symmetric conditions, J. Fluid Mech., 243, 353, 10.1017/S0022112092002751
P.D. Koumoutsakos, (1993). Direct numerical simulations of unsteady separated flows using vortex methods. Ph.D. Thesis, California Inst. of Tech., Pasadena
Koumoutsakos, 1992
Kourta, 1987, Nonlinear interaction and the transition to turbulence in the wake of a circular cylinder, J. Fluid Mech., 181, 141, 10.1017/S0022112087002039
Krasny, 1986, A study of singularity formation in a vortex sheet by the point vortex approximation, J. Fluid Mech., 167, 65, 10.1017/S0022112086002732
Krasny, 1987, Computation of vortex sheet roll-up in the trefftz plane, J. Fluid Mech., 184, 123, 10.1017/S0022112087002830
Krasny, 1988, Numerical simulation of vortex sheet evolution, Fluid Dyn. Res., 3, 93, 10.1016/0169-5983(88)90049-4
Krause, 1985, 255
Krutzsch, 1939, Uber eine Experimentell Beobachtete Erscheinung an Wirbelringen bei Wirklichen Flussigkeiten, Ann. Phys., 35, 497, 10.1002/andp.19394270604
Kuwahara, 1973, Numerical studies of two-dimensional vortex motion by a system of point vortices, J. Phys. Soc. Japan, 34, 247, 10.1143/JPSJ.34.247
Lamb, 1932
Langdon, 1970, Effects of the spatial grid in simulation plasmas, J. Comput. Phys., 6, 247, 10.1016/0021-9991(70)90024-0
Lasheras, 1988, Three-dimensional instability of a plane, free shear layer: An experimental study of the formation and evolution of streamwise vortices, J. Fluid Mech., 189, 53, 10.1017/S0022112088000916
Lasheras, 1990, Three-dimensional vorticity modes in the wake of a flat plate, Phys. Fluids A, 2, 371, 10.1063/1.857787
Lau, 1975, The vortex-street structure of “turbulent” jet, Part I, J. Fluid Mech., 67, 299, 10.1017/S0022112075000328
Legendre, 1953, Ecoulement au voisinage de la pointe avant ďune aile a forte fleche aux incidences moyennes, Recherche Aeronaut., 35
Leonard, 1980, Vortex methods for flow simulation, J. Comput. Phys., 37, 289, 10.1016/0021-9991(80)90040-6
Leonard, 1980, Vortex simulation of three-dimensional spotlike disturbances in a laminar boundary layer, 67
Leonard, 1985, Computing three-dimensional incompressible flows with vortex elements, Ann. Rev. Fluid Mech., 17, 523, 10.1146/annurev.fl.17.010185.002515
Leonard, 1985, Two studies in three-dimensional vortex dynamics: A perturbed round jet and an inhomogenous mixing layer
Lewis, 1981, Surface vorticity modeling of separated flows from two-dimensional bluff bodies of arbitrary shape, J. of Mech. Engng. Sci., 23, 1, 10.1243/JMES_JOUR_1981_023_003_02
Lighthill, 1963, Introduction: Boundary layer theory, 72
Lighthill, 1986
Longuet-Higgins, 1953, Mass transport in water waves, Phil. Trans. R. Soc. London A, 245, 535, 10.1098/rsta.1953.0006
Longuet-Higgins, 1981, Oscillating flow over steep sand ripples, J. Fluid Mech., 107, 1, 10.1017/S0022112081001651
Longuet-Higgins, 1992, Capillary rollers and bores, J. Fluid Mech., 240, 659, 10.1017/S0022112092000259
Longuet-Higgins, 1976, The deformation of steep surface waves on water. I. A numerical method of computation, Proc. Roy. Soc. London A, 350, 1, 10.1098/rspa.1976.0092
Lu, 1991, Diffusing-vortex numerical scheme for solving incompressible Navier-Stokes equations, J. Comput. Phys., 95, 400, 10.1016/0021-9991(91)90283-Q
Lyman, 1990, Vorticity production at a solid boundary, Appl. Mech. Rev., 43, 157
Mangler, 1959, A theory of the separated flow past a slender delta wing with leading-edge separation, Proc. Roy. Soc. London, A, 251, 200, 10.1098/rspa.1959.0102
N.N. Mansour, (1985). A hybrid vortex-in-cell finite-difference method for shear layer computation. AIAA Paper 85–0372
Marcus, 1989, The inviscid interaction between a rising vortex pair and a free surface, Phys. of Fluids, A1, 1988, 10.1063/1.857471
Marshall, 1991, A general theory of curved vortices with circular cross-section and variable core area, J. Fluid Mech., 229, 311, 10.1017/S002211209100304X
Martensen, 1959, Arch. Rat. Mech. Anal., 3, 235, 10.1007/BF00284179
Martin, 1991, Numerical investigation of three-dimensionally evolving jets subject to axisymmetric and azimuthal perturbations, J. Fluid Mech., 230, 271, 10.1017/S0022112091000794
Martin, 1992, Numerical investigation of three-dimensionally evolving jets under helical perturbations, J. Fluid Mech., 243, 457, 10.1017/S0022112092002787
S. Mas-Gallic, (1987). Contribution à ľanalyse numérique des méthodes particulaires. These ďEtat, Université Paris VI
E.C. Maskell, (1971). On the Kutta-Joukowski condition in two-dimensional unsteady flow. Unpublished note, Royal Aircraft Establishment, Farnborough, England
Maskew, 1977, Subvortex technique for the close approach to a discretized vortex sheet, J. Aircraft, 14, 188, 10.2514/3.44582
D. Mathioulakis, D.P. Telionis, (1983). Modeling rotating stall by vortex dynamics. AIAA Paper 83–0002
Maxworthy, 1981, The fluid dynamics of insect flight, Ann. Rev. Fluid Mech., 13, 329, 10.1146/annurev.fl.13.010181.001553
McAlister, 1979, Water tunnel visualizations on dynamic stall, J. Fluids Engng., 101, 376, 10.1115/1.3448981
McCroskey, 1982, Unsteady airfoils, Ann. Rev. Fluid Mech., 14, 285, 10.1146/annurev.fl.14.010182.001441
McInville, 1985, Analysis of large vortical structures in shear layers, AIAA J., 23, 1165, 10.2514/3.9059
McWilliams, 1990, The vortices of two-dimensional turbulence, J. Fluid Mech., 219, 361, 10.1017/S0022112090002981
Meiburg, 1988, Experimental and numerical investigation of the three-dimensional transition in plane wakes, J. Fluid Mech., 190, 1, 10.1017/S0022112088001181
Meiburg, 1988, Topology of the vorticity field in three-dimensional shear layers and wakes, Fluid Dyn. Res., 3, 140, 10.1016/0169-5983(88)90057-3
Meiron, 1982, Analytic structure of vortex sheet dynamics. Part I. Kelvin-Helmholtz instability, J. Fluid Mech., 114, 283, 10.1017/S0022112082000159
Zabusky, 1988, Interaction and “apparent” reconnection of 3D vortex tubes via direct numerical simulations, Fluid Dyn. Res., 3, 247, 10.1016/0169-5983(88)90073-1
Meng, 1978, The physics of vortex-ring evolution in a stratified and shearing environment, J. Fluid Mech., 84, 455, 10.1017/S0022112078000270
Meng, 1978, Numerical studies of some nonlinear hydrodynamic problems by discrete vortex element methods, J. Fluid Mech., 84, 433, 10.1017/S0022112078000269
Messiter, 1983, Boundary-layer interaction theory, J. Appl. Mech., Trans ASME, 50, 1104, 10.1115/1.3167193
Messiter, 1973, A model for laminar boundary-layer flow near a separation point, SIAM J. Appl. Math., 25, 655, 10.1137/0125064
Metcalfe, 1987, Secondary instability of a temporally growing mixing layer, J. Fluid Mech., 184, 207, 10.1017/S0022112087002866
A. Michalke, (1963). On the instability and nonlinear development of a disturbed shear layer. Hermann Fottinger Inst. für Stromungstechnik, Univ. Berlin, TN No. 2
Michalke, 1965, Vortex formation in a free boundary layer according to stability theory, J. Fluid Mech., 22, 371, 10.1017/S0022112065000812
Milne-Thomson, 1960
D.T. Mook, S. Roy, G. Choksi, D.M. Alexander, (1987). On the numerical simulation of the unsteady wake behind an airfoil. AIAA paper 87–0190
Moore, 1977, The role of shear-layer instability waves in jet exhaust noise, J. Fluid Mech., 80, 321, 10.1017/S0022112077001700
Moore, 1971
Moore, 1972, Finite amplitude waves on aircraft trailing vortices, Aeronaut. Quart., 23, 307, 10.1017/S000192590000620X
Moore, 1974, A numerical study of the roll-up of a finite vortex sheet, J. Fluid Mech., 63, 225, 10.1017/S002211207400111X
Moore, 1976, The stability of an evolving two-dimensional vortex sheet, Mathematika, 23, 35, 10.1112/S0025579300006124
Moore, 1978, The equation of motion of a vortex layer of small thickness, Stud. Appl. Math., 58, 119, 10.1002/sapm1978582119
Moore, 1979, The spontaneous appearance of a singularity in the shape of an evolving vortex sheet, Proc. Roy. Soc. London A, 365, 105, 10.1098/rspa.1979.0009
Moore, 1981, On the point vortex method, SIAM J. Sci. Stat. Comput., 2, 65, 10.1137/0902006
Moore, 1984, Numerical and analytical aspects of Helmholtz instability, 263
Moore, 1974, The stability of an expanding circular vortex sheet, Mathematika, 21, 128, 10.1112/S002557930000588X
Moore, 1972, The motion of a vortex filament with axial flow, Phil. Trans. Roy. Soc., 272, 403, 10.1098/rsta.1972.0055
F.K. Moore, (1957). On th separation of the unsteady laminar boundary layer. In: Boundary layers, IUTAM-Symposium (Berlin). Freiburg, pp. 296–311
Morton, 1984, The generation and decay of vorticity, 28
S.I. M. Mostafa, (1987). Numerical simulation of unsteady separated flows. Ph.D. Thesis, Naval Postgraduate School, Monterey, California
Murman, 1989, Trajectory integration in vortical flows, AIAA J., 27, 982, 10.2514/3.10208
E.M. Murman, P.M. Stremel, (1982). A vortex wake capturing method for potential flow calculations. AIAA Paper 82–0947
Nagano, 1982, A numerical analysis of two-dimensional flow past a rectangular prism by a discrete vortex model, Computers and Fluids, 10, 243, 10.1016/0045-7930(82)90008-1
Nagati, 1987, Vortex sheet modeling with curved higher-order panels, J. Aircraft, 24, 776, 10.2514/3.45520
Ogami, 1991, Viscous flow simulation using the discrete vortex model—the diffusion velocity method, Computers and Fluids, 19, 433, 10.1016/0045-7930(91)90068-S
Oswatitsch, 1957, Die Ablösungsbedingung von Grenzschichten, 357
Panaras, 1985, Pressure pulses generated by the interaction of a discrete vortex with an edge, J. Fluid Mech., 154, 445, 10.1017/S0022112085001616
Panaras, 1987, Numerical modeling of the vortex/airfoil interaction, AIAA J., 25, 5, 10.2514/3.9570
Panton, 1984
Parekh, 1983, A vortex filament simulation of a bifurcating jet, Bull. Am. Phys. Soc., 28, 1353
Patel, 1986, On predictions of resonant roll motions for flat-bottomed barges, Roy. Inst. Naval Arch., supplementary papers, 128
F.M. Payne, T.T. Ng, R.C. Nelson, (1986). Visualization and flow surveys of the leading edge vortex structure on delta wing planforms. AIAA Paper 86–0330
Pedrizzetti, 1992, Close interaction between a vortex filament and a rigid sphere, J. Fluid Mech., 245, 701, 10.1017/S0022112092000636
Pépin F. Apin, (1990). Simulation of the flow past an impulsively started cylinder using a discrete vortex method. Ph.D. Thesis, Cal. Inst. of Tech., Pasadena
Peskin, 1977, Numerical analysis of blood flow in the heart, J. Comput. Phys., 25, 220, 10.1016/0021-9991(77)90100-0
Peskin, 1982, The fluid dynamics of heart valves; Experimental, theoretical, and computational methods, Ann. Rev. Fluid Mech., 14, 235, 10.1146/annurev.fl.14.010182.001315
Peters, 1975, 134
Peters, 1982, Random walk and diffusion in two-dimensional Lagrangian systems, 205
Pien, 1964
Pierce, 1961, Photographic evidence of the formation and growth of vorticity behind plates accelerated from rest in still air, J. Fluid Mech., 11, 460, 10.1017/S0022112061000652
R.A. Piziali, (1966). A method of predicting the aerodynamic loads and dynamic responds of rotor blades. Berkeley: Univ. of California, CAL Rep. BB-1932–5-1, USAAVLABS TR 65–74
Poling, 1986, The response of airfoils to periodic disturbances—the unsteady Kutta condition, AIAA J., 24, 193, 10.2514/3.9244
D.R. Poling, L. Dadone, D.P. Telionis, (1987). Blade-vortex interaction. AIAA Paper 87–0497
Porthouse, 1981, Simulation of viscous diffusion for extension of the surface vorticity method to boundary layer and separated flows, J. Mech. Engng. Sci., 23, 157, 10.1243/JMES_JOUR_1981_023_029_02
Portnoy, 1976, The initial roll-up of a thick two-dimensional wake behind a finite span, Aeronaut. J., 80, 442, 10.1017/S0001924000034370
Portnoy, 1977, Thick two-dimensional wake roll-up behind a wing of finite span—extended calculations, Aeronaut. J., 81, 460, 10.1017/S0001924000033169
Pozrikidis, 1985, Nonlinear Kelvin-Helmholtz instability of a finite vortex layer, J. Fluid Mech., 157, 225, 10.1017/S0022112085002361
Puckett, 1987
Pumir, 1987, Vortex dynamics and the existence of solutions to the Navier-Stokes equations, Phys. Fluids, 30, 1606, 10.1063/1.866226
Quartapelle, 1983, Force and moment in incompressible flows, AIAA J., 21, 911, 10.2514/3.8171
P.-A. Raviart, (1987). Méthod particulaires. Lecture notes, Ecole ďété ďanalyse numérique, Centre ďétude du Bréau-sans-nappe, France
Rayleigh, 1916
C. Rehbach, (1978). Numerical calculation of unsteady three-dimensional flows with vortex sheets. AIAA Paper 78–111
Ricca, 1991, Rediscovery of Da Rios equations, Nature, 352, 561, 10.1038/352561a0
Rizzi, 1987, Selected topics in the theory and practice of computational fluid dynamics, J. Comput. Phys., 72, 1, 10.1016/0021-9991(87)90072-6
Roberts, 1983, A stable and accurate numerical method to calculate the motion of a sharp interface between fluids, IMA J. Appl. Maths., 31, 13, 10.1093/imamat/31.1.13
Rogers, 1992, The three-dimensional evolution of a plane mixing layer: The Kelvin-Helmholtz rollup, J. Fluid Mech., 243, 183, 10.1017/S0022112092002696
Rosenhead, 1930, The spread of vorticity in the wake behind a cylinder, Proc. Roy. Soc. London A, 127, 590, 10.1098/rspa.1930.0078
Rosenhead, 1931, The formation of vortices from a surface of discontinuity, Proc. Roy. Soc. London A, 134, 170, 10.1098/rspa.1931.0189
Roshko, 1976, Structure of turbulent shear flows: A new look, AIAA J., 14, 1349, 10.2514/3.61477
Rott, 1956, Diffraction of a weak shock with vortex generation, J. Fluid Mech., 1, 111, 10.1017/S0022112056000081
Rottman, 1987, The motion of a cylinder of fluid released from rest in a cross flow, J. Fluid Mech., 177, 307, 10.1017/S0022112087000971
Roy, 1957, Sur la theorie de ľaile en delta: Tourbillons ďApex et nappes en cornet, Recherche Aeronaut., 56, 3
A.H. Sacks, R.E. Lundberg, C.W. Hanson, (1967). A theoretical investigation of the aerodynamics of slender wing-body combinations exhibiting leading-edge separation. NASA CR-719
Saffman, 1970, The velocity of viscous vortex rings, Stud. Appl. Math., 49, 371, 10.1002/sapm1970494371
Saffman, 1974, The structure and decay of trailing vortices, Arch. Mech., 26, 423
Saffman, 1978, The number of waves on unstable vortex rings, J. Fluid Mech., 84, 625, 10.1017/S0022112078000385
Saffman, 1992
Saffman, 1979, Vortex interactions, Ann. Rev. Fluid Mech, 11, 95, 10.1146/annurev.fl.11.010179.000523
Saffman, 1986, Difficulties with three-dimensional weak solutions for inviscid incompressible flow, Phys. Fluids, 29, 2373, 10.1063/1.865529
Sarpkaya, 1963, Lift, drag, and added-mass coefficients for a circular cylinder immersed in a time-dependent flow, J. Appl. Mech., ASME, Ser. E, 85, 13, 10.1115/1.3630062
Sarpkaya, 1966, Separated flow about lifting bodies and impulsive flow about cylinders, AIAA J., 4, 414, 10.2514/3.3453
Sarpkaya, 1968, Separated flow about a rotating plate, Develop. Mech., 4, 1485
Sarpkaya, 1968, An analytical study of separated flow about circular cylinders, J. Basic Engng., ASME, 90, 511, 10.1115/1.3605180
Sarpkaya, 1969, Analytical study of separated flow about circular cylinders, Phys. Fluids, 12, 145
Sarpkaya, 1971, On stationary and traveling vortex breakdowns, J. Fluid Mech., 45, 545, 10.1017/S0022112071000181
Sarpkaya, 1975, Comment on “Theoretical study of lift-generated vortex wakes designed to avoid roll-up”, AIAA J., 13, 1680, 10.2514/3.60592
Sarpkaya, 1975, An inviscid model of two-dimensional vortex shedding for transient and asymptotically steady separated flow over an inclined flat plate, J. Fluid Mech., 68, 109, 10.1017/S0022112075000717
T. Sarpkaya, (1978). Impulsive flow about a circular cylinder. Monterey, CA: Naval Postgraduate School Report No. NPS-69SL-78–008
Sarpkaya, 1983, Trailing vortices in homogeneous and density stratified media, J. Fluid Mech., 136, 85, 10.1017/S0022112083002074
T. Sarpkaya, (1986a). Oscillating flow over bluff bodies in a U-shaped water tunnel. In: Proc. AGARD Symposium on Aerodynamic and Related Hydrodynamic Studies Using Water Facilities. AGARD CP-413, Paper No. 6
Sarpkaya, 1986, Forces on a circular cylinder in viscous oscillating flow at low Keulegan-Carpenter numbers, J. Fluid Mech., 165, 61, 10.1017/S0022112086002999
Sarpkaya, 1986
Sarpkaya, 1989, Computational methods with vortices—The 1988 Freeman scholar lecture, J. Fluids Engng., ASME, 111, 5, 10.1115/1.3243601
Sarpkaya, 1991, Non-impulsively started steady flow about a circular cylinder, AIAA J., 29, 1283, 10.2514/3.10733
Sarpkaya, 1991, Comment, On the accurate calculation of vortex shedding [Phys. Fluids A 2, 883(1990)], Phys. Fluids A, 3, 2013, 10.1063/1.857883
Sarpkaya, 1992, Brief reviews of some time-dependent flows, J. Fluids Engng., ASME, 114, 283, 10.1115/1.2910029
Sarpkaya, 1992
Sarpkaya, 1992, Separation points on a cylinder in oscillating flow, J. Offshore Mechs. Arctic Engng., ASME, 114, 28, 10.1115/1.2919949
Sarpkaya, 1987, Effect of ambient turbulence on trailing vortices, J. Aircraft, 24, 399, 10.2514/3.45459
Sarpkaya, 1986, Impusively started flow about rectangular prisms: Experiments and discrete vortex analysis, J. Fluids Engng., 108, 47, 10.1115/1.3242542
Sarpkaya, 1991, Unsteady flow about porous cambered shells, J. Aircraft, 28, 502, 10.2514/3.46055
Sarpkaya, 1979, An inviscid model of two-dimensional vortex shedding for transient and asymptotically steady separated low over a cylinder, AIAA J., 17, 1193, 10.2514/3.61300
T. Sarpkaya, R.L. Shoaff, (1979b). A discrete-vortex analysis of flow about stationary and transversely oscillating circular cylinders. Naval Postgraduate School Technical Report NPS-69SL79011, Monterey, California
Sarpkaya, 1991, Interaction of a vortex pair with a free surface, Exper. Fuids, 11, 205, 10.1007/BF00192746
Sarpkaya, 1988
Sarpkaya, 1990, Numerical simulation of unsteady flow about cambered plates, J. Aircraft, 27, 51, 10.2514/3.45895
Savage, 1979, The role of vortex and unsteady effects during the hovering of dragonflies, J. Exp. Biol., 83, 59, 10.1242/jeb.83.1.59
von Schmidt, 1972, Uber die Zirkulationsentwicklung in Nachlaufen von Rundstaben, Acustica, 27, 14
O.A. Schreiber, (1990). Aerodynamic interactions between bodies in relative motion. Ph.D. Thesis, Georgia Institute of Technology, Atlanta
Schwarz, 1982, Generation of superfluid turbulence deduced from simple dynamical rules, Phys. Rev. Lett., 49, 283, 10.1103/PhysRevLett.49.283
Schwarz, 1988, Three-dimensional vortex dynamics in superfluid 4He: Homogeneous superfluid turbulence, Phys. Rev. B, 38, 2398, 10.1103/PhysRevB.38.2398
Sears, 1956, Some recent developments in airfoil theory, J. Aeronaut. Sci., 23, 490, 10.2514/8.3588
Sears, 1976, Unsteady motion of airfoils with boundary-layer separation, AIAA J., 14, 216, 10.2514/3.7072
Sears, 1975, Boundary layer separation in unsteady flow, SIAM J. Appl. Math., 28, 215, 10.1137/0128018
Sethian, 1984, Turbulent combustion in open and closed vessels, J. Comput. Phys., 54, 425, 10.1016/0021-9991(84)90126-8
Q.Y. Sheen, (1986). Potential flow analysis of unsteady Joukowski airfoil in the presence of discrete vortices. Ph.D. Thesis, Univ. of Colorado, Boulder
S. Shirayama, T. Ohta, K. Kuwahara, (1987). Three-dimensional flow past a two-dimensional body. AIAA Paper 87–0605
R.L. Shoaff, C.B. Franks, (1981). A discrete vortex analysis of flow about non-circular cylinders. In: Proc. 3rd Int. Conf. on Numerical Ship Hydrodynamics. Washington, DC: National Academy Press, pp. 319–333
S. Siddiqi, (1987). Trailing vortex roll-up computations using the point vortex method. AIAA Paper 87–2479
Siggia, 1985, Collapse and amplification of a vortex filament, Phys. Fluids, 28, 794, 10.1063/1.865047
Simpson, 1981, A review of some phenomena in turbulent flow separation, J. Fluids Engng., ASME, 103, 520, 10.1115/1.3241761
Sisto, 1991, Computational prediction of staff flutter in cascaded airfoils, AIAA J., 29, 1161, 10.2514/3.10718
N.G. Skomedal, T. Vada, (1987). Numerical simulation of vortex shedding induced oscillations of a circular cylinder. In: Proc. 2nd Int. Conf. on Advances in Numerical Methods in Engng. Theory and Applications. Swansea, Wales, pp. 1–7
Smith, 1968, Improved calculations of leading-edge separation from slender, thin, delta wings, Proc. Roy. Soc. London A, 306, 67, 10.1098/rspa.1968.0138
P.A. Smith, (1986). Computation of viscous flows by the vortex method. Ph.D. Thesis, Univ. of Manchester
Smith, 1985, Wave-induced bed flows by a Lagrangian vortex scheme, J. Comput. Phys., 60, 489, 10.1016/0021-9991(85)90033-6
Smith, 1987, Generalized discrete vortex method for cylinders without sharp edges, AIAA J., 25, 199, 10.2514/3.9609
Smith, 1988, Impulsively started flow around a circular cylinder by the vortex method, J. Fluid Mech., 194, 45, 10.1017/S0022112088002897
Smith, 1991, Viscous oscillatory flows around cylindrical bodies at low Keulegan-Carpenter numbers using the vortex method, J. Fluids Structures, 5, 339, 10.1016/0889-9746(91)90405-E
Soh, 1971
T. Sommer, (1990). The interaction and fusion of two vortex rings. M.Sc. Thesis, Aeronautics Dept., Imperial College, London
P.R. Spalart, (1982). Numerical simulation of separated flows. Ph.D. Dissertation, Univ. of Calif., Berkeley
P.R. Spalart, (1984). Two recent extensions of the vortex method. AIAA Paper 84–0343
P.R. Spalart, A. Leonard, D. Bagaboff, (1983). Numerical simulation of separated flows. NASA TM-84328
Spalding, 1986, The two-fluid model of turbulence applied to combustion phenomena, AIAA J., 24, 876, 10.2514/3.9362
Spreiter, 1951, The rolling up of the trailing vortex and its effect on the downwash behind wings, J. Aeronaut. Sci., 18, 21, 10.2514/8.1830
Stansby, 1977, An inviscid model of vortex shedding from a circular cylinder in steady and oscillatory far flows, Proc. Inst. Civ. Eng., 63, 865, 10.1680/iicep.1977.3081
Stansby, 1979, Mathematical modeling of vortex shedding from circular cylinders in planar oscillatory flows, including effects of harmonics, 450
Stansby, 1981, A numerical study of vortex shedding from one and two circular cylinders, Aeonaut. Quart., 32, 48, 10.1017/S000192590000901X
Stansby, 1985, A generalized discrete-vortex method for sharp-edged cylinders, AIAA J., 23, 856, 10.2514/3.8998
Stansby, 1982, The importance of secondary shedding in two-dimensional wake formation at very high Reynolds numbers, Aeronaut. Quart., 33, 105, 10.1017/S0001925900009355
Stansby, 1983, Simulation of flows around cylinders by a Lagrangian vortex scheme, Appl. Ocean Res., 5, 167, 10.1016/0141-1187(83)90072-X
J.H. Strickland, (1992). Axisymmetric bluff-body flow: A vortex solver for thin shells. Albuquerque, NM: Sandia, Report: SAND91–2760
V.V. Sychev, (1972). On laminar separation. Izv. Akad. Nauk. Mech. Zhid. Gaza, No. 3, 47–59. Translated in Fluid Dynamics, Plenum, March/April (1974), pp. 407–419
Phuoc Loc, 1980, Numerical analysis of unsteady secondary vortices generated by a impulsively started circular cylinder, J. Fluid Mech., 100, 111, 10.1017/S0022112080001036
Phuoc Loc, 1985, Numerical solution of the early stage of the unsteady viscous flow around a circular cylinder: A comparison with experimental visualization and measurements, J. Fluid Mech., 160, 93, 10.1017/S0022112085003408
Takami, 1964
Taneda, 1977, Visual study of unsteady separated flows around bodies, Prog. Aerospace Sci., 17, 287, 10.1016/0376-0421(76)90011-7
Taneda, 1980, Definition of separation. Reports of Research Institute for Applied Mechanics, Kyushu Univ., 28, 73
Taylor, 1992, Using Rankine vortices to model flow around a body of revolution, AIAA J., 30, 839, 10.2514/3.10994
Tiemroth, 1986, 490
Townsend, 1956
Tryggvason, 1988, Numerical simulations of the Rayleigh-Taylor Instability, J. Comput. Phys., 75, 253, 10.1016/0021-9991(88)90112-X
Van der J.J. W. Vegt, (1988). A variationally optimized vortex tracing algorithm for 3-dimensional flows around solid bodies. Ph.D. Thesis, Maritime Research Inst., The Hague: The Netherlands
Van der Vegt, 1984
Van der Vooren, 1980, A numerical investigation of the rolling-up of vortex sheets, Proc. Roy. Soc. London A, 373, 67, 10.1098/rspa.1980.0137
Van L.L. Dommelen, (1987). Unsteady separation from a Lagrangian point of view. In: Proc. Forum on Unsteady Flow Separation (K. N. Ghia, ed.). ASME FED-52, pp. 81–84
Von Kerczek, 1969, The representation of ship hulls by conformal mapping functions, J. Ship Research, 13, 284, 10.5957/jsr.1969.13.4.284
S.S. Wang, (1977). Grid-insensitive computer simulation of the Kelvin-Helmholtz instability and shear flow turbulence. Ph.D. Thesis, Stanford Univ., Inst. for Plasma Res., Stanford, Rep. No. 710
Waugh, 1992, The efficiency of symmetric vortex merger, Phys. Fluids A, 4, 1745, 10.1063/1.858395
Webster, 1975, The flow about arbitrary, three-dimensional smooth bodies, J. Ship Res., 19, 206, 10.5957/jsr.1975.19.4.206
Weihs, 1979, Multiple equilibrium vortex positions in symmetric shedding from slender bodies, AIAA J., 17, 213, 10.2514/3.61097
F.L. Westwater, (1935). The rolling up of a surface of discontinuity behind an airfoil of finite span. London: ARC R&M 1692
Widnall, 1975, The structure and dynamics of vortex filaments, Ann. Rev. Fluid Mech., 7, 141, 10.1146/annurev.fl.07.010175.001041
Widnall, 1985, Review of three-dimensional vortex dynamics: Implications for the computation of separated and turbulent flows, 16
Widnall, 1985
Widnall, 1971, Slender-body analysis of the motion and stability of a vortex filament containing an axial flow, J. Fluid Mech., 50, 335, 10.1017/S002211207100260X
Widnall, 1972, On the stability of vortex rings, Proc. Roy. Soc. London A, 332, 335, 10.1098/rspa.1973.0029
Widnall, 1971, Theoretical and experimental study of the stability of a vortex pair, 305
Wilkinson, 1967
Winant, 1974, Vortex pairing: The mechanism of turbulent mixing layer growth at moderate Reynolds number, J. Fluid Mech., 63, 237, 10.1017/S0022112074001121
G.S. Winckelmans, (1989). Topics in vortex methods for the simulation of three- and two-dimensional incompressible unsteady flows. Ph.D. Thesis, Calif. Inst. of Tech., Pasadena
Winckelmans, 1988, Weak solutions of the three-dimensional vorticity equation with vortex singularities, Phys. Fluids, 31, 1838, 10.1063/1.866680
G.S. Winckelmans, A. Leonard, (1992). Contributions to Vortex particle methods for the computation of three-dimensonal incompressible unsteady flows. J. Comput. Phys., submitted
Wu, 1981, The theory of aeodynamic force and moment in viscous flows, AIAA J., 19, 432, 10.2514/3.50966
Yeung, 1993, Flow past oscillating cylinders, J. Offshore Mech. and Arctic Engng., Trans ASME, 115, 197, 10.1115/1.2920112
Zabusky, 1979, Contour dynamics for the Euler equations in two dimensions, J. Comput. Phys., 30, 96, 10.1016/0021-9991(79)90089-5
Zalosh, 1976, Discretized simulation of vortex sheet evolution with buoyancy and surface tension effects, AIAA J., 14, 1517, 10.2514/3.61493
Zaroodny, 1973, On a vortex sheet approach to the numerical calculation of water waves, J. Comp. Phys., 11, 440, 10.1016/0021-9991(73)90083-1
Zawadzki, 1991, Mixing during vortex ring collision, Phys. Fluids A, 3, 1405, 10.1063/1.858204