메뉴 건너뛰기




Volumn 200, Issue 1, 2004, Pages 347-367

Moving mesh methods with locally varying time steps

Author keywords

Finite volume method; Hyperbolic conservation laws; Local time stepping; Moving mesh method

Indexed keywords

MESH GENERATION; NUMERICAL METHODS; PHYSICAL PROPERTIES;

EID: 4544281285     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.04.007     Document Type: Article
Times cited : (66)

References (28)
  • 1
    • 0038355027 scopus 로고    scopus 로고
    • Variational barrier method of adaptive grid generation in hyperbolic problems of gas dynamics
    • Azarenok B.N. Variational barrier method of adaptive grid generation in hyperbolic problems of gas dynamics SIAM J. Numer. Anal. 40 2002 651-682
    • (2002) SIAM J. Numer. Anal. , vol.40 , pp. 651-682
    • Azarenok, B.N.1
  • 2
    • 0037689751 scopus 로고    scopus 로고
    • Adaptive mesh redistribution method based on Godunov's scheme
    • Azarenok B.N. Ivanenko S.A. Tang T. Adaptive mesh redistribution method based on Godunov's scheme Commun. Math. Sci. 1 2003 152-179
    • (2003) Commun. Math. Sci. , vol.1 , pp. 152-179
    • Azarenok, B.N.1    Ivanenko, S.A.2    Tang, T.3
  • 4
    • 0035361441 scopus 로고    scopus 로고
    • On a uniformly accurate finite difference approximation of a singularly perturbed reaction-diffusion problem using grid equidistribution
    • Beckett G. Mackenzie J.A. On a uniformly accurate finite difference approximation of a singularly perturbed reaction-diffusion problem using grid equidistribution J. Comput. Appl. Math. 131 2001 381-405
    • (2001) J. Comput. Appl. Math. , vol.131 , pp. 381-405
    • Beckett, G.1    Mackenzie, J.A.2
  • 5
    • 0001762370 scopus 로고    scopus 로고
    • Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems
    • Berger M.J. LeVeque R.J. Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems SIAM J. Numer. Anal. 35 1998 2298-2316
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 2298-2316
    • Berger, M.J.1    LeVeque, R.J.2
  • 6
    • 48749141209 scopus 로고
    • Adaptive mesh refinement for hyperbolic partial differential equations
    • Berger M.J. Oliger J. Adaptive mesh refinement for hyperbolic partial differential equations J. Comput. Phys. 53 1984 484-512
    • (1984) J. Comput. Phys. , vol.53 , pp. 484-512
    • Berger, M.J.1    Oliger, J.2
  • 7
    • 49049134162 scopus 로고
    • Adaptive zoning for singular problems in two dimensions
    • Brackbill J.U. Saltzman J.S. Adaptive zoning for singular problems in two dimensions J. Comput. Phys. 46 1982 342-368
    • (1982) J. Comput. Phys. , vol.46 , pp. 342-368
    • Brackbill, J.U.1    Saltzman, J.S.2
  • 8
    • 0035922234 scopus 로고    scopus 로고
    • An efficient dynamically adaptive mesh for potentially singular solutions
    • Ceniceros H.D. Hou T.Y. An efficient dynamically adaptive mesh for potentially singular solutions J. Comput. Phys. 172 2001 609-639
    • (2001) J. Comput. Phys. , vol.172 , pp. 609-639
    • Ceniceros, H.D.1    Hou, T.Y.2
  • 9
    • 0033294022 scopus 로고    scopus 로고
    • A study of monitor functions for two dimensional adaptive mesh generation
    • Cao W.M. Huang W.Z. Russell R.D. A study of monitor functions for two dimensional adaptive mesh generation SIAM J. Sci. Comput. 20 1999 1978-1994
    • (1999) SIAM J. Sci. Comput. , vol.20 , pp. 1978-1994
    • Cao, W.M.1    Huang, W.Z.2    Russell, R.D.3
  • 10
    • 0035683345 scopus 로고    scopus 로고
    • High resolution schemes for conservation laws with locally varying time steps
    • Dawson C.N. Kirby R. High resolution schemes for conservation laws with locally varying time steps SIAM J. Sci. Comput. 22 2001 2256-2281
    • (2001) SIAM J. Sci. Comput. , vol.22 , pp. 2256-2281
    • Dawson, C.N.1    Kirby, R.2
  • 12
    • 0000105971 scopus 로고
    • Moving mesh methods based on moving mesh partial differential equations
    • Huang W. Ren Y. Russell R.D. Moving mesh methods based on moving mesh partial differential equations J. Comput. Phys. 113 1994 279-290
    • (1994) J. Comput. Phys. , vol.113 , pp. 279-290
    • Huang, W.1    Ren, Y.2    Russell, R.D.3
  • 13
    • 48749145227 scopus 로고
    • Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
    • Harten A. Hyman J.M. Self-adjusting grid methods for one-dimensional hyperbolic conservation laws J. Comput. Phys. 50 1983 235-269
    • (1983) J. Comput. Phys. , vol.50 , pp. 235-269
    • Harten, A.1    Hyman, J.M.2
  • 14
    • 0037455650 scopus 로고    scopus 로고
    • Variational mesh adaptation II: Error estimates and monitor functions
    • Huang W. Sun W. Variational mesh adaptation II: error estimates and monitor functions J. Comput. Phys. 184 2003 619-648
    • (2003) J. Comput. Phys. , vol.184 , pp. 619-648
    • Huang, W.1    Sun, W.2
  • 15
    • 0347987814 scopus 로고    scopus 로고
    • New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
    • Kurganov A. Tadmor E. New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations J. Comput. Phys. 160 2000 241-282
    • (2000) J. Comput. Phys. , vol.160 , pp. 241-282
    • Kurganov, A.1    Tadmor, E.2
  • 16
    • 0000501759 scopus 로고    scopus 로고
    • Moving mesh methods in multiple dimensions based on harmonic maps
    • Li R. Tang T. Zhang P. Moving mesh methods in multiple dimensions based on harmonic maps J. Comput. Phys. 170 2001 562-588
    • (2001) J. Comput. Phys. , vol.170 , pp. 562-588
    • Li, R.1    Tang, T.2    Zhang, P.3
  • 17
    • 0037052068 scopus 로고    scopus 로고
    • A moving mesh finite element algorithm for singular problems in two and three space dimensions
    • Li R. Tang T. Zhang P. A moving mesh finite element algorithm for singular problems in two and three space dimensions J. Comput. Phys. 177 2002 365-393
    • (2002) J. Comput. Phys. , vol.177 , pp. 365-393
    • Li, R.1    Tang, T.2    Zhang, P.3
  • 18
    • 0000394103 scopus 로고    scopus 로고
    • Moving mesh methods with upwinding schemes for time-dependent PDEs
    • Li S. Petzold L. Moving mesh methods with upwinding schemes for time-dependent PDEs J. Comput. Phys. 131 1997 368-377
    • (1997) J. Comput. Phys. , vol.131 , pp. 368-377
    • Li, S.1    Petzold, L.2
  • 19
    • 0032226419 scopus 로고    scopus 로고
    • An adaptive grid method and its application to steady Euler flow calculations
    • Liu F. Ji S. Liao G. An adaptive grid method and its application to steady Euler flow calculations SIAM J. Sci. Comput. 20 1998 811-825
    • (1998) SIAM J. Sci. Comput. , vol.20 , pp. 811-825
    • Liu, F.1    Ji, S.2    Liao, G.3
  • 21
    • 84966225456 scopus 로고
    • Numerical approximations to nonlinear conservation laws with locally varying time and space grids
    • Osher S. Sanders R. Numerical approximations to nonlinear conservation laws with locally varying time and space grids Math. Comp. 41 1983 321-336
    • (1983) Math. Comp. , vol.41 , pp. 321-336
    • Osher, S.1    Sanders, R.2
  • 22
    • 0001568854 scopus 로고
    • Efficient implement of essentially non-oscillatory shock-wave schemes, II
    • Shu C.-W. Osher S. Efficient implement of essentially non-oscillatory shock-wave schemes, II J. Comput. Phys. 83 1989 32-78
    • (1989) J. Comput. Phys. , vol.83 , pp. 32-78
    • Shu, C.-W.1    Osher, S.2
  • 23
    • 0034774698 scopus 로고    scopus 로고
    • A moving mesh method for one-dimensional hyperbolic conservation laws
    • Stockie J.M. Mackenzie J.A. Russell R.D. A moving mesh method for one-dimensional hyperbolic conservation laws SIAM J. Sci. Comput. 22 2001 1791-1813
    • (2001) SIAM J. Sci. Comput. , vol.22 , pp. 1791-1813
    • Stockie, J.M.1    Mackenzie, J.A.2    Russell, R.D.3
  • 24
    • 0038704068 scopus 로고    scopus 로고
    • Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws
    • Tang H.Z. Tang T. Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws SIAM J. Numer. Anal. 41 2003 487-515
    • (2003) SIAM J. Numer. Anal. , vol.41 , pp. 487-515
    • Tang, H.Z.1    Tang, T.2
  • 25
    • 0038346370 scopus 로고    scopus 로고
    • An adaptive mesh redistribution method for nonlinear Hamilton-Jacobi equations in two- and three dimensions
    • Tang H.Z. Tang T. Zhang P.-W. An adaptive mesh redistribution method for nonlinear Hamilton-Jacobi equations in two- and three dimensions J. Comput. Phys. 188 2003 543-572
    • (2003) J. Comput. Phys. , vol.188 , pp. 543-572
    • Tang, H.Z.1    Tang, T.2    Zhang, P.-W.3
  • 27
    • 4544232505 scopus 로고    scopus 로고
    • An adaptive mesh redistribution algorithm for convection-dominated problems
    • Zhang Z.-R. Tang T. An adaptive mesh redistribution algorithm for convection-dominated problems Commun. Pure Appl. Anal. 1 2002 341-357
    • (2002) Commun. Pure Appl. Anal. , vol.1 , pp. 341-357
    • Zhang, Z.-R.1    Tang, T.2
  • 28
    • 2942517483 scopus 로고    scopus 로고
    • Adaptive moving mesh computations for reaction-diffusion systems
    • Zegeling P.A. Kok H.P. Adaptive moving mesh computations for reaction-diffusion systems J. Comput. Appl. Math. 168 2004 519-528
    • (2004) J. Comput. Appl. Math. , vol.168 , pp. 519-528
    • Zegeling, P.A.1    Kok, H.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.