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Volumn 209, Issue 1, 2005, Pages 105-138

A subcell remapping method on staggered polygonal grids for arbitrary-Lagrangian-Eulerian methods

Author keywords

ALE methods; Conservative interpolation; Remapping

Indexed keywords

KINETICS; LAGRANGE MULTIPLIERS; MESH GENERATION;

EID: 20344373884     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2005.03.019     Document Type: Article
Times cited : (138)

References (33)
  • 1
    • 0003883457 scopus 로고
    • SALE: A Simplified ALE computer program for fluid flow at all speeds
    • Los Alamos National Laboratory Report LA-8095
    • A.A. Amsden, H.M. Ruppel, C.W. Hirt, SALE: A Simplified ALE computer program for fluid flow at all speeds, Los Alamos National Laboratory Report LA-8095, 1980
    • (1980)
    • Amsden, A.A.1    Ruppel, H.M.2    Hirt, C.W.3
  • 2
    • 0002401895 scopus 로고    scopus 로고
    • Numerical methods for gasdynamics systems on unstructured grids
    • Kroner M. Ohlberger C. Rohde Eds. An introduction to recent developments in theory and numerics for conservation laws, Proceedings of the international school on theory and numerics for conservation laws, Freiburg/Littenweiler, October, 20-24, 1997, Springer Berlin
    • T.J. Barth Numerical methods for gasdynamics systems on unstructured grids In: Kroner M. Ohlberger C. Rohde Eds. An introduction to recent developments in theory and numerics for conservation laws, Proceedings of the international school on theory and numerics for conservation laws, Freiburg/Littenweiler, October, 20-24, 1997, Lecture notes in computational science and engineering 1997 Springer Berlin 195-285
    • (1997) Lecture Notes in Computational Science and Engineering , pp. 195-285
    • Barth, T.J.1
  • 3
    • 0024621791 scopus 로고
    • An efficient, accurate, simple ALE method for nonlinear finite element programs
    • D.J. Benson An efficient, accurate, simple ALE method for nonlinear finite element programs Comput. Meth. Appl. Mech. Eng. 72 1989 305-350
    • (1989) Comput. Meth. Appl. Mech. Eng. , vol.72 , pp. 305-350
    • Benson, D.J.1
  • 4
    • 0026923198 scopus 로고
    • Computational methods in Lagrangian and Eulerian hydrocodes
    • D.J. Benson Computational methods in Lagrangian and Eulerian hydrocodes Comput. Meth. Appl. Mech. Eng. 99 1992 235-394
    • (1992) Comput. Meth. Appl. Mech. Eng. , vol.99 , pp. 235-394
    • Benson, D.J.1
  • 5
    • 28144458364 scopus 로고
    • Momentum advection on a staggered grid
    • D.J. Benson Momentum advection on a staggered grid J. Comput. Phys. 100 1992 143-162
    • (1992) J. Comput. Phys. , vol.100 , pp. 143-162
    • Benson, D.J.1
  • 6
    • 0039784621 scopus 로고
    • Multidimensional discretization of conservation laws for unstructured polyhedral grids
    • Report UCRL-JC-118306, Lawrence Livermore National Laboratory
    • D.E. Burton, Multidimensional discretization of conservation laws for unstructured polyhedral grids, Report UCRL-JC-118306, Lawrence Livermore National Laboratory, 1994
    • (1994)
    • Burton, D.E.1
  • 7
    • 20344386564 scopus 로고    scopus 로고
    • Consistent finite-volume discretization of hydrodynamics conservation laws for unstructured grids
    • Report UCRL-JC-118788, Lawrence Livermore National Laboratory
    • D.E. Burton, Consistent finite-volume discretization of hydrodynamics conservation laws for unstructured grids, Report UCRL-JC-118788, Lawrence Livermore National Laboratory
    • Burton, D.E.1
  • 8
    • 20344404042 scopus 로고    scopus 로고
    • A compatible Lagrangian hydrodynamics algorithm for unstructured grids
    • report version can be found at www.cnls.lanl.gov/~shashkov
    • J. Campbell M. Shashkov A compatible Lagrangian hydrodynamics algorithm for unstructured grids Selcuk J. Appl. Math. 4 2003 53-70 report version can be found at www.cnls.lanl.gov/~shashkov
    • (2003) Selcuk J. Appl. Math. , vol.4 , pp. 53-70
    • Campbell, J.1    Shashkov, M.2
  • 9
    • 0035922232 scopus 로고    scopus 로고
    • A tensor artificial viscosity using a mimetic finite difference algorithm
    • J. Campbell M. Shashkov A tensor artificial viscosity using a mimetic finite difference algorithm J. Comput. Phys. 172 2001 739-765
    • (2001) J. Comput. Phys. , vol.172 , pp. 739-765
    • Campbell, J.1    Shashkov, M.2
  • 10
    • 0000890297 scopus 로고    scopus 로고
    • Elimination of artificial grid distortion and hourglass-type motions by means of Lagrangian subzonal masses and pressures
    • E.J. Caramana M.J. Shashkov Elimination of artificial grid distortion and hourglass-type motions by means of Lagrangian subzonal masses and pressures J. Comput. Phys. 142 1998 521-561
    • (1998) J. Comput. Phys. , vol.142 , pp. 521-561
    • Caramana, E.J.1    Shashkov, M.J.2
  • 11
    • 0000142136 scopus 로고    scopus 로고
    • The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
    • E.J. Caramana D.E. Burton M.J. Shashkov P.P. Whalen The construction of compatible hydrodynamics algorithms utilizing conservation of total energy J. Comput. Phys. 146 1998 227-262
    • (1998) J. Comput. Phys. , vol.146 , pp. 227-262
    • Caramana, E.J.1    Burton, D.E.2    Shashkov, M.J.3    Whalen, P.P.4
  • 12
    • 0013170893 scopus 로고
    • SHALE: A computer program for solid dynamics
    • Report Los Alamos National Laboratory Report LA-10236
    • R.B. Demuth, L.G. Margolin, B.D. Nichols, T.F. Adams, B.W. Smith, SHALE: A computer program for solid dynamics, Report Los Alamos National Laboratory Report LA-10236, 1985
    • (1985)
    • Demuth, R.B.1    Margolin, L.G.2    Nichols, B.D.3    Adams, T.F.4    Smith, B.W.5
  • 13
    • 17144456156 scopus 로고
    • An arbitrary Lagrangian-Eulerian computing method for all flow speeds
    • C.W. Hirt A.A. Amsden J. Cook An arbitrary Lagrangian-Eulerian computing method for all flow speeds J. Comput. Phys. 14 1974 227-253
    • (1974) J. Comput. Phys. , vol.14 , pp. 227-253
    • Hirt, C.W.1    Amsden, A.A.2    Cook, J.3
  • 14
    • 0032565528 scopus 로고    scopus 로고
    • 3D unstructured mesh ale hydrodynamics with the upwind discontinuous finite element method
    • D.S. Kershaw M.K. Prasad M.J. Shaw J.L. Milovich 3D unstructured mesh ale hydrodynamics with the upwind discontinuous finite element method Comput. Meth. Appl. Mech. Eng. 158 1998 81-116
    • (1998) Comput. Meth. Appl. Mech. Eng. , vol.158 , pp. 81-116
    • Kershaw, D.S.1    Prasad, M.K.2    Shaw, M.J.3    Milovich, J.L.4
  • 15
    • 0031999488 scopus 로고    scopus 로고
    • An arbitrary Lagrangian-Eulerian finite element method
    • P. Kjellgren J. Hyvarien An arbitrary Lagrangian-Eulerian finite element method Comput. Mech. 21 1998 81-90
    • (1998) Comput. Mech. , vol.21 , pp. 81-90
    • Kjellgren, P.1    Hyvarien, J.2
  • 16
    • 0037050821 scopus 로고    scopus 로고
    • Reference Jacobian optimization-based rezone strategies for arbitrary Lagrangian-Eulerian methods
    • P. Knupp L.G. Margolin M. Shashkov Reference Jacobian optimization-based rezone strategies for arbitrary Lagrangian-Eulerian methods J. Comput. Phys. 176 2002 93-112
    • (2002) J. Comput. Phys. , vol.176 , pp. 93-112
    • Knupp, P.1    Margolin, L.G.2    Shashkov, M.3
  • 17
    • 0037670505 scopus 로고    scopus 로고
    • An efficient linearity- and bound-preserving remapping method
    • M. Kucharik M. Shashkov B. Wendroff An efficient linearity- and bound-preserving remapping method J. Comput. Phys. 188 2003 462-471
    • (2003) J. Comput. Phys. , vol.188 , pp. 462-471
    • Kucharik, M.1    Shashkov, M.2    Wendroff, B.3
  • 18
    • 0013336942 scopus 로고
    • Remapping on the staggered mesh
    • Report UCRL-99682 of Lawrence Livermore National Laboratory, Available from:
    • L.G. Margolin and C.W. Beason, Remapping on the staggered mesh, Report UCRL-99682 of Lawrence Livermore National Laboratory, 1988. Available from:
    • (1988)
    • Margolin, L.G.1    Beason, C.W.2
  • 19
    • 0000030024 scopus 로고    scopus 로고
    • Introduction to an arbitrary Lagrangian-Eulerian computing method for all flow speeds
    • L.G. Margolin Introduction to an arbitrary Lagrangian-Eulerian computing method for all flow speeds J. Comput. Phys. 135 1997 198-202
    • (1997) J. Comput. Phys. , vol.135 , pp. 198-202
    • Margolin, L.G.1
  • 21
    • 4243761750 scopus 로고    scopus 로고
    • Second-order sign preserving remapping on general grids, LA-UR-02-525
    • Available from:
    • L.G. Margolin, M. Shashkov, Second-order sign preserving remapping on general grids, LA-UR-02-525. Available from:
    • Margolin, L.G.1    Shashkov, M.2
  • 24
    • 20344386300 scopus 로고    scopus 로고
    • A comparison of staggered-mesh Lagrange plus remap and cell-centered direct Eulerian Godunov schemes for Eulerian shock hydrodynamics
    • Preprint UCRL-JC-139820, Lawrence Livermore National Laboratory Available from:
    • R.B. Pember, R.W. Anderson, A comparison of staggered-mesh Lagrange plus remap and cell-centered direct Eulerian Godunov schemes for Eulerian shock hydrodynamics, Preprint UCRL-JC-139820, Lawrence Livermore National Laboratory, 2000. Available from:
    • (2000)
    • Pember, R.B.1    Anderson, R.W.2
  • 27
    • 4444375763 scopus 로고    scopus 로고
    • Optimization-based reference-matrix rezone strategies for arbitrary Lagrangian-Eulerian methods on unstructured grids
    • M. Shashkov P. Knupp Optimization-based reference-matrix rezone strategies for arbitrary Lagrangian-Eulerian methods on unstructured grids Selcuk J. Appl. Math. 3 2002 81-99
    • (2002) Selcuk J. Appl. Math. , vol.3 , pp. 81-99
    • Shashkov, M.1    Knupp, P.2
  • 28
    • 3042813417 scopus 로고    scopus 로고
    • The repair paradigm and application to conservation laws
    • M. Shashkov B. Wendroff The repair paradigm and application to conservation laws J. Comput. Phys. 198 2004 265-277
    • (2004) J. Comput. Phys. , vol.198 , pp. 265-277
    • Shashkov, M.1    Wendroff, B.2
  • 29
    • 2942705023 scopus 로고
    • A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
    • G.A. Sod A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws J. Comput. Phys. 27 1978 1-31
    • (1978) J. Comput. Phys. , vol.27 , pp. 1-31
    • Sod, G.A.1
  • 33
    • 48749139407 scopus 로고
    • The numerical simulation of two-dimensional fluid flow with strong shocks
    • P.R. Woodward P. Colella The numerical simulation of two-dimensional fluid flow with strong shocks J. Comput. Phys. 54 1984 115-173
    • (1984) J. Comput. Phys. , vol.54 , pp. 115-173
    • Woodward, P.R.1    Colella, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.