Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
Tóm tắt
Từ khóa
Tài liệu tham khảo
Atkinson, 1977
Baker, 1979, Research on numerical algorithms for the three-dimensional Navier-Stokes equations, Part I. Accuracy, convergence and efficiency, Tech. Rep. AFFDL-TR-79-3141
Brooks, 1980, Streamline upwind/Petrov-Galerkin methods for advection dominated flows
Chorin, 1968, Numerical solution of the Navier-Stokes equations, Math. Comp., 22, 745, 10.1090/S0025-5718-1968-0242392-2
Christie, 1976, Finite element methods for second order differential equations with significant first derivatives, Internat. J. Numer. Methods Engrg., 10, 1389, 10.1002/nme.1620100617
Dendy, 1974, Two methods of Galerkin type achieving optimum L2 rates of convergence for first order hyperbolics, SIAM J. Numer. Anal., 11, 637, 10.1137/0711052
Davis, 1976, An evaluation of upwind and central difference approximations by a study of recirculating flow, Computers and Fluids, 4, 29, 10.1016/0045-7930(76)90010-4
J. Donea, Private Communication, 1980.
Donea, 1979, Accurate explicit finite element schemes for convective-conductive heat transfer problems, Vol. 34
Gresho, 1981, Solution of the time dependent, three-dimensional incompressible Navier-Stokes equations via FEM, Lawrence Livermore Laboratory Report UCRL-85337
Gresho, 1978, Advection-dominated flows, with emphasis on the consequences of mass lumping, Vol. 3
Gresho, 1979, Don't suppress the wiggles—They're telling you something!, Vol. 34
Gresho, 1979, Solution of the time dependent incompressible Navier-Stokes and Boussinesq equations using the Galerkin finite element method, Lawrance Livermore Laboratory Rep. UCRL-82899
1980
Gresho, 1980, FEM solution of the Navier-Stokes equations for vortex shedding behind a cylinder: Experiments with the four-node element
Gresho, 1980, On the time-dependent solution of the Navier-Stokes equations in two and three dimensions, Vol. 1, 27
Griffiths, 1979, On generating upwind finite element methods, Vol. 34
Heinrich, 1977, An ‘upwind’ finite element scheme for two-dimensional convective transport equation, Intern. J. Numer. Methods Engrg., 11, 134
Heinrich, 1979, The finite element method and ‘upwinding’ techniques in the numerical solution of convection dominated flow problems, Vol. 34
Hughes, 1978, A simple scheme for developing ‘upwind’ finite elements, Internat. J. Numer. Methods Engrg., 12, 1359, 10.1002/nme.1620120904
Hughes, 1980, Implicit-explicit finite element techniques for symmetric and nonsymmetric systems
Hughes, 1980, Recent developments in computer methods for structural analysis, Nucl. Engrg. Des., 57, 427, 10.1016/0029-5493(80)90116-8
Hughes, 1978, A variational basis for ‘upwind’ finite elements
Hughes, 1979, A multidimensional upwind scheme with no crosswind diffusion, Vol. 34
Hughes, 1980, Galerkin/upwind finite element mesh partitions in fluid mechanics, 103
T.J.R. Hughes and A. Brooks, A. theoretical framework for Petrov-Galerkin methods with discontinuous weighting functions: Application to the streamline upwind procedure, to appear in: R.H. Gallagher, ed., Finite Elements in Fluids, Vol. 4 (Wiley, London).
Hughes, 1979, Review of finite element analysis of incompressible viscuous flows by the penalty function formulation, J. Comput. Phys., 30, 1, 10.1016/0021-9991(79)90086-X
Hughes, 1979, Implicit-explicit finite elements in nonlinear transient analysis, Comput. Meths. Appl. Mech. Engrg., 17/18, 159, 10.1016/0045-7825(79)90086-0
Hughes, 1978, High Reynolds number, steady, incompressible flows by a finite element method, Vol. 3
T.J.R. Hughes and T.E. Tezduyar, Private Communication, 1981.
Johnson, 1980, Analysis of some finite element methods for advection-diffusion problems
Kelly, 1980, A note of upwinding and anisotropic balancing dissipation in finite element approximations to convective diffusion problems, Internat. J. Numer. Methods Engrg., 15, 1705, 10.1002/nme.1620151111
Lee, 1979, Smoothing techniques for certain primitive variable solutions of the Navier-Stokes equations, Internat. J. Numer. Methods Engrg., 14, 1785, 10.1002/nme.1620141204
Leonard, 1979, A survey of finite differences of opinion on numerical muddling of the incomprehensible defective confusion equation, Vol. 34
Leonard, 1980, Note on the Von Neumann stability of the explicit FTCS convective diffusion equation, Appl. Math. Modelling, 4, 401, 10.1016/0307-904X(80)90168-7
Morton, 1980, Optimal finite element methods for diffusion-convection problems, 134
Oden, 1980, Penalty methods and selective reduced integration for Stokesian flows
Raithby, 1976, A critical evaluation of upstream differencing applied to problems involving fluid flow, Comput. Meths. Appl. Mech. Engrg., 75, 10.1016/0045-7825(76)90078-5
Raithby, 1974, Upstream-weighted differencing schemes and their application to elliptic problems involving fluid flow, Comput. and Fluids, 2, 191, 10.1016/0045-7930(74)90013-9
Raymond, 1976, Selective damping in a Galerkin method for solving wave problems with variable grids, Monthly Weather Rev., 104, 1583, 10.1175/1520-0493(1976)104<1583:SDIAGM>2.0.CO;2
Reddy, 1980, On the mathematical theory of penalty-finite elements for Navier-Stokes equations
Roache, 1976
Sani, 1981, On the solution of the time-dependent incompressible Navier-Stokes equations via a penalty Galerkin finite element method, Lawrance Livermore Laboratory Rept. UCRL-85354
Sani, 1980, On the spurious pressures generated by certain GFEM solutions of the incompressible Navier-Stokes equations
Sani, 1981, The cause and cure of the spurious pressures generated by certain GFEM solutions of the incompressible Navier-Stokes equations, Internat. J. Numer. Meths. Fluids
Smith, 1977, Improved stability techniques for the solution of Navier-Stokes equations, Appl. Math. Modelling, 1, 226, 10.1016/0307-904X(77)90013-0
Taylor, 1977, Computer procedures for finite element analysis
Temam, 1977
T.E. Tezduyar, Ph.D. Thesis, California Institute of Technology, in preparation.
Wachspress, 1977, Isojacobic crosswind differencing
1978, Vol. 630, 190
Wahlbin, 1974, A dissipative Galerkin method for the numerical solution of first order hyperbolic equations, 147
Zienkiewicz, 1978, The finite element method and convection problems in fluid mechanics, Vol. 3, 1