메뉴 건너뛰기




Volumn 183, Issue 2, 2002, Pages 533-562

Finite volume evolution galerkin methods for nonlinear hyperbolic systems

Author keywords

Euler equations; Evolution Galerkin schemes; Genuinely multidimensional schemes; Hyperbolic systems; Wave equation

Indexed keywords

EULER EQUATIONS; LINEAR SYSTEMS; NONLINEAR EQUATIONS; WAVE EQUATIONS; WAVE PROPAGATION;

EID: 0037059268     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2002.7207     Document Type: Article
Times cited : (45)

References (32)
  • 2
    • 0030640667 scopus 로고    scopus 로고
    • On WAF-type schemes for multidimensional hyperbolic conservation laws
    • S. Billet and E. F. Toro, On WAF-type schemes for multidimensional hyperbolic conservation laws, J. Comput. Phys. 130, 1 (1997).
    • (1997) J. Comput. Phys. , vol.130 , pp. 1
    • Billet, S.1    Toro, E.F.2
  • 3
    • 85190234868 scopus 로고    scopus 로고
    • Two-dimensional Riemann solver for Euler equations of gas dynamics
    • in press
    • M. Brio, A. R. Zakharian, and G. M. Webb, Two-dimensional Riemann solver for Euler equations of gas dynamics, J. Comput. Phys., in press.
    • J. Comput. Phys.
    • Brio, M.1    Zakharian, A.R.2    Webb, G.M.3
  • 4
    • 0001538323 scopus 로고
    • The numerical solution of hyperbolic systems of partial differential equations in three independent variables
    • D. S. Butler, The numerical solution of hyperbolic systems of partial differential equations in three independent variables, Proc. R. Soc. London 255A, 233 (1960).
    • (1960) Proc. R. Soc. London , vol.255 A , pp. 233
    • Butler, D.S.1
  • 6
    • 26844455510 scopus 로고
    • Multidimensional upwind methods for hyperbolic conservation laws
    • P. Collela, Multidimensional upwind methods for hyperbolic conservation laws, J. Comput. Phys. 87, 171 (1990).
    • (1990) J. Comput. Phys. , vol.87 , pp. 171
    • Collela, P.1
  • 7
    • 0027552804 scopus 로고
    • A multidimensional generalization of Roe's flux difference splitter for the Euler equations
    • H. Deconinck, P. Roe, and R. Struijs, A multidimensional generalization of Roe's flux difference splitter for the Euler equations, Comput. Fluids 22(2-3), 215 (1993).
    • (1993) Comput. Fluids , vol.22 , Issue.2-3 , pp. 215
    • Deconinck, H.1    Roe, P.2    Struijs, R.3
  • 8
    • 0000471334 scopus 로고    scopus 로고
    • Multidimensional upwinding. Part I. The method of transport for solving the Euler equations
    • M. Fey, Multidimensional upwinding. Part I. The method of transport for solving the Euler equations, J. Comput. Phys. 143, 159 (1998).
    • (1998) J. Comput. Phys. , vol.143 , pp. 159
    • Fey, M.1
  • 9
    • 0000471333 scopus 로고    scopus 로고
    • Multidimensional upwinding. Part II. Decomposition of the Euler equations into advection equations
    • M. Fey, Multidimensional upwinding. Part II. Decomposition of the Euler equations into advection equations, J. Comput. Phys. 143, 181 (1998).
    • (1998) J. Comput. Phys. , vol.143 , pp. 181
    • Fey, M.1
  • 12
    • 0030161771 scopus 로고    scopus 로고
    • Efficient implementation of weighted ENO schemes
    • G.-S. Jiang and C.-W. Shu, Efficient implementation of weighted ENO schemes, J. Comput. Phys. 126, 201 (1996).
    • (1996) J. Comput. Phys. , vol.126 , pp. 201
    • Jiang, G.-S.1    Shu, C.-W.2
  • 13
    • 0000308880 scopus 로고    scopus 로고
    • Wave propagation algorithms for multi-dimensional hyperbolic systems
    • R. J. LeVeque, Wave propagation algorithms for multi-dimensional hyperbolic systems, J. Comput. Phys. 131, 327 (1997).
    • (1997) J. Comput. Phys. , vol.131 , pp. 327
    • LeVeque, R.J.1
  • 15
    • 0012664092 scopus 로고    scopus 로고
    • Characteristic Galerkin schemes for scalar conservation laws in two and three space dimensions
    • P. Lin, K. W. Morton, and E. Süli, Characteristic Galerkin schemes for scalar conservation laws in two and three space dimensions, SIAM J. Numer. Anal. 34(2), 779 (1997).
    • (1997) SIAM J. Numer. Anal. , vol.34 , Issue.2 , pp. 779
    • Lin, P.1    Morton, K.W.2    Süli, E.3
  • 16
    • 0012753618 scopus 로고    scopus 로고
    • Composite centered schemes for multidimensional conservation laws
    • R. Liska and B. Wendroff, Composite centered schemes for multidimensional conservation laws, Int. Ser Numer. Math. 130, 661 (1999).
    • (1999) Int. Ser Numer. Math. , vol.130 , pp. 661
    • Liska, R.1    Wendroff, B.2
  • 17
    • 0034409204 scopus 로고    scopus 로고
    • Evolution Galerkin methods for hyperbolic systems in two space dimensions
    • M. Lukáčová-Medvid'ová, K. W. Morton, and G. Warnecke, Evolution Galerkin methods for hyperbolic systems in two space dimensions. Math. Comp. 69, 1355 (2000).
    • (2000) Math. Comp. , vol.69 , pp. 1355
    • Lukáčová-Medvid'ová, M.1    Morton, K.W.2    Warnecke, G.3
  • 19
    • 0003288445 scopus 로고    scopus 로고
    • High-resolution finite volume evolution Galerkin schemes for multidimensional conservation laws
    • (World Scientific, Singapore,) p. 0
    • M. Lukáčová-Medvid'ová, K. W. Morton, and G. Warnecke, High-resolution finite volume evolution Galerkin schemes for multidimensional conservation laws, in Proceedings of ENUMATH'99 (World Scientific, Singapore, 1999), p. 0.
    • (1999) Proceedings of ENUMATH'99
    • Lukáčová-Medvid'ová, M.1    Morton, K.W.2    Warnecke, G.3
  • 22
    • 85031266022 scopus 로고    scopus 로고
    • Finite volume evolution Galerkin (FVEG) methods for hyperbolic problems
    • manuscript in preparation
    • M. Lukáčová-Medvid'ová, K. W. Morton, and G. Warnecke, Finite volume evolution Galerkin (FVEG) methods for hyperbolic problems, manuscript in preparation.
    • Lukáčová-Medvid'ová, M.1    Morton, K.W.2    Warnecke, G.3
  • 23
    • 0033720413 scopus 로고    scopus 로고
    • Lax-Wendroff type second order evolution Galerkin methods for multidimensional hyperbolic systems
    • M. Lukáčová-Medvid'ová and G. Warnecke, Lax-Wendroff type second order evolution Galerkin methods for multidimensional hyperbolic systems, East-West J. 8(2), 127 (2000).
    • (2000) East-West J. , vol.8 , Issue.2 , pp. 127
    • Lukáčová-Medvid'ová, M.1    Warnecke, G.2
  • 25
    • 0000534145 scopus 로고    scopus 로고
    • On the analysis of finite volume methods for evolutionary problems
    • K. W. Morton, On the analysis of finite volume methods for evolutionary problems, SIAM J. Numer. Anal. 35(6), 2195 (1998).
    • (1998) SIAM J. Numer. Anal. , vol.35 , Issue.6 , pp. 2195
    • Morton, K.W.1
  • 26
    • 0036210810 scopus 로고    scopus 로고
    • Vorticity-preserving Lax-Wendroff-type schemes for the system of wave equation
    • K. W. Morton and P. Roe, Vorticity-preserving Lax-Wendroff-type schemes for the system of wave equation, SIAM J. Sci. Comput. 23(1), 170 (2001).
    • (2001) SIAM J. Sci. Comput. , vol.23 , Issue.1 , pp. 170
    • Morton, K.W.1    Roe, P.2
  • 27
    • 0000783988 scopus 로고    scopus 로고
    • The MOT-ICE: A new high-resolution wave-propagation algorithm for multi-dimensional systems of conservative laws based on Fey's method of transport
    • S. Noelle, The MOT-ICE: a new high-resolution wave-propagation algorithm for multi-dimensional systems of conservative laws based on Fey's method of transport, J. Comput. Phys. 164, 283 (2000).
    • (2000) J. Comput. Phys. , vol.164 , pp. 283
    • Noelle, S.1
  • 28
    • 0031236008 scopus 로고    scopus 로고
    • Multidimensional characterisitic Galerkin schemes and evolution operators for hyperbolic systems
    • S. Ostkamp, Multidimensional characterisitic Galerkin schemes and evolution operators for hyperbolic systems, Math. Methods Appl. Sci. 20, 1111 (1997).
    • (1997) Math. Methods Appl. Sci. , vol.20 , pp. 1111
    • Ostkamp, S.1
  • 29
    • 0028386735 scopus 로고
    • A contribution to the great Riemann solver debate
    • J. Quirk, A contribution to the great Riemann solver debate, Int. J. Numer. Methods Fluid Dyn. 18, 555 (1994).
    • (1994) Int. J. Numer. Methods Fluid Dyn. , vol.18 , pp. 555
    • Quirk, J.1
  • 30
    • 46149136471 scopus 로고
    • Discrete models for the numerical analysis of time-dependent multidimensional gas dynamics
    • P. Roe, Discrete models for the numerical analysis of time-dependent multidimensional gas dynamics, J. Comput. Phys. 63, 458 (1986).
    • (1986) J. Comput. Phys. , vol.63 , pp. 458
    • Roe, P.1
  • 31
    • 0003332686 scopus 로고
    • Numerical solution of the Riemann problem for two-dimensional gas dynamics
    • C. W. Schulz-Rinne, J. P. Colins, and H. M. Glaz, Numerical solution of the Riemann problem for two-dimensional gas dynamics, SIAM J. Sci. Comput. 14, 1394 (1993).
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 1394
    • Schulz-Rinne, C.W.1    Colins, J.P.2    Glaz, H.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.