A monolithic Lagrangian meshfree scheme for Fluid–Structure Interaction problems within the OTM framework
Tài liệu tham khảo
Hou, 2012, Numerical methods for fluid–structure interaction—a review, Commun. Comput. Phys., 12, 337, 10.4208/cicp.291210.290411s
Felippa, 2001, Partitioned analysis of coupled mechanical systems, Comput. Methods Appl. Mech. Engrg., 190, 3247, 10.1016/S0045-7825(00)00391-1
Farhat, 2004
Gingold, 1977, Smoothed particle hydrodynamics: theory and application to non-spherical stars, Mon. Not. R. Astron. Soc., 181, 375, 10.1093/mnras/181.3.375
Gingold, 1982, Kernel estimates as a basis for general particle methods in hydrodynamics, J. Comput. Phys., 46, 429, 10.1016/0021-9991(82)90025-0
Farhat, 2000, Two efficient staggered algorithms for the serial and parallel solution of three-dimensional nonlinear transient aeroelastic problems, Comput. Methods Appl. Mech. Engrg., 182, 499, 10.1016/S0045-7825(99)00206-6
Jaiman, 2006, Conservative load transfer along curved fluid–solid interface with non-matching meshes, J. Comput. Phys., 218, 372, 10.1016/j.jcp.2006.02.016
Nobile, 2001, 203
Causin, 2005, Added-mass effect in the design of partitioned algorithms for fluid–structure problems, Comput. Methods Appl. Mech. Engrg., 194, 4506, 10.1016/j.cma.2004.12.005
Förster, 2007, Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows, Comput. Methods Appl. Mech. Engrg., 196, 1278, 10.1016/j.cma.2006.09.002
Degroote, 2008, Stability of a coupling technique for partitioned solvers in FSI applications, Comput. Struct., 86, 2224, 10.1016/j.compstruc.2008.05.005
Vierendeels, 2005, Analysis and stabilization of fluid–structure interaction algorithm for rigid-body motion, AIAA J., 43, 2549, 10.2514/1.3660
Osher, 1988, Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations, J. Comput. Phys., 79, 12, 10.1016/0021-9991(88)90002-2
Hyman, 1984, Numerical methods for tracking interfaces, Physica D, 12, 396, 10.1016/0167-2789(84)90544-X
Li, 2002, A moving frame of reference algorithm for fluid/structure interaction of rotating and translating bodies, Int. J. Numer. Meth. Fluid., 38, 187, 10.1002/fld.216
Kim, 2001, An immersed-boundary finite-volume method for simulations of flow in complex geometries, J. Comput. Phys., 171, 132, 10.1006/jcph.2001.6778
Yang, 2005, A strong coupling scheme for fluid–structure interaction problems in viscous incompressible flows
Heil, 2004, An efficient solver for the fully coupled solution of large-displacement fluid–structure interaction problems, Comput. Methods Appl. Mech. Engrg., 193, 1, 10.1016/j.cma.2003.09.006
Bathe, 2004, Finite element developments for general fluid flows with structural interactions, Internat. J. Numer. Methods Engrg., 60, 213, 10.1002/nme.959
Hron, 2006, A monolithic FEM/multigrid solver for an ALE formulation of fluid–structure interaction with applications in biomechanics, 146
Michler, 2004, A monolithic approach to fluid–structure interaction, Comput. & Fluids, 33, 839, 10.1016/j.compfluid.2003.06.006
Donea, 1982, An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid–structure interactions, Comput. Methods Appl. Mech. Engrg., 33, 689, 10.1016/0045-7825(82)90128-1
Donea, 2004, Arbitrary Lagrangian ulerian methods, 413
Hughes, 1981, Lagrangian-Eulerian finite element formulation for incompressible viscous flows, Comput. Methods Appl. Mech. Engrg., 29, 329, 10.1016/0045-7825(81)90049-9
Donea, 2003
Idelsohn, 2009, Fluid–structure interaction problems with strong added-mass effect, Internat. J. Numer. Methods Engrg., 80, 1261, 10.1002/nme.2659
Rossi, 2010, Analysis of some partitioned algorithms for fluid–structure interaction, Eng. Comput., 27, 20, 10.1108/02644401011008513
Tezduyar, 1992, A new strategy for finite element computations involving moving boundaries and interfaces - The deforming-spatial-domain/space-time procedure: I. The concept and the preliminary numerical tests, Comput. Methods Appl. Mech. Engrg., 94, 339, 10.1016/0045-7825(92)90059-S
Tezduyar, 1992, A new strategy for finite element computations involving moving boundaries and interfaces–the deforming-spatial-domain/space-time procedure: II. Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders, Comput. Methods Appl. Mech. Engrg., 94, 353, 10.1016/0045-7825(92)90060-W
Mittal, 1995, Parallel finite element simulation of 3D incompressible flows: Fluid–structure interactions, Int. J. Numer. Meth. Fluid., 21, 933, 10.1002/fld.1650211011
Tezduyar, 2006, Space–time finite element techniques for computation of fluid–structure interactions, Comput. Methods Appl. Mech. Engrg., 195, 2002, 10.1016/j.cma.2004.09.014
Tezduyar, 2007, Modelling of fluid–structure interactions with the space–time finite elements: solution techniques, Int. J. Numer. Meth. Fluid., 54, 855, 10.1002/fld.1430
Bazilevs, 2008, Isogeometric fluid–structure interaction: theory, algorithms, and computations, Comput. Mech., 43, 3, 10.1007/s00466-008-0315-x
Idelsohn, 2008, Unified Lagrangian formulation for elastic solids and incompressible fluids: application to fluid–structure interaction problems via the PFEM, Comput. Methods Appl. Mech. Engrg., 197, 1762, 10.1016/j.cma.2007.06.004
Oñate, 2004, The particle finite element method—an overview, Int. J. Comput. Meth., 1, 267, 10.1142/S0219876204000204
Idelsohn, 2006, Fluid–structure interaction using the particle finite element method, Comput. Methods Appl. Mech. Engrg., 195, 2100, 10.1016/j.cma.2005.02.026
Li, 2010, Optimal transportation meshfree approximation schemes for fluid and plastic flows, Internat. J. Numer. Methods Engrg., 83, 10.1002/nme.2869
Li, 2012, Verification and validation of the optimal transportation meshfree (otm) simulation of terminal ballistics, Int. J. Imp. Eng., 42, 25, 10.1016/j.ijimpeng.2011.11.003
C. Villani, Topics in Optimal Transportation, vol. 58, American Mathematical Soc., 2003.
Arroyo, 2006, Local maximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods, Internat. J. Numer. Methods Engrg., 65, 2167, 10.1002/nme.1534
Sulsky, 1994, A particle method for history-dependent materials, Comput. Methods Appl. Mech. Engrg., 118, 179, 10.1016/0045-7825(94)90112-0
Radovitzky, 1998, Lagrangian finite element analysis of Newtonian fluid flows, Internat. J. Numer. Methods Engrg., 43, 607, 10.1002/(SICI)1097-0207(19981030)43:4<607::AID-NME399>3.0.CO;2-N
Radovitzky, 1999, Error estimation and adaptive meshing in strongly nonlinear dynamic problems, Comput. Methods Appl. Mech. Engrg., 172, 203, 10.1016/S0045-7825(98)00230-8
Macdonald, 1966, Some simple isothermal equations of state, Rev. Modern Phys., 38, 669, 10.1103/RevModPhys.38.669
Ortiz, 1999, The variational formulation of viscoplastic constitutive updates, Comput. Methods Appl. Mech. Engrg., 171, 419, 10.1016/S0045-7825(98)00219-9
Yang, 2006, A variational formulation of the coupled thermo-mechanical boundary-value problem for general dissipative solids, J. Mech. Phys. Solids, 54, 401, 10.1016/j.jmps.2005.08.010
Benamou, 1999, A numerical method for the optimal time-continuous mass transport problem and related problems, Contemp. Math., 226, 1, 10.1090/conm/226/03232
Benamou, 2000, A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem, Numer. Math., 84, 375, 10.1007/s002110050002
McCann, 1997, A convexity principle for interacting gases, Adv. Math., 128, 153, 10.1006/aima.1997.1634
Martin, 2001, Blasius boundary layer solution with slip flow conditions, AIP Conf. Proc., 585, 518, 10.1063/1.1407604
Blasius, 1907
Pentecôte, 2003, Crashworthiness of helicopters on water: Test and simulation of a full-scale WG30 impacting on water, Int. J. Crashworth., 8, 559, 10.1533/ijcr.2003.0259
Anghileri, 2011, Rigid body water impact–experimental tests and numerical simulations using the sph method, Int. J. Imp. Eng., 38, 141, 10.1016/j.ijimpeng.2010.11.002
Shah, 2015, Water impact of rigid wedges in two-dimensional fluid flow, J. Appl. Fluid Mech., 8, 329, 10.18869/acadpub.jafm.67.221.22693
Chuang, 1966
Ganzenmuller, 2015, An hourglass control algorithm for Lagrangian smooth particle hydrodynamics, Comput. Methods Appl. Mech. Engrg., 286, 87, 10.1016/j.cma.2014.12.005
Weisenfels, 2018, Stabilization algorithm for the optimal transportation meshfree approximation scheme, Comput. Methods Appl. Mech. Engrg., 329, 421, 10.1016/j.cma.2017.09.031