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Volumn 212, Issue 2, 2006, Pages 454-472

Spectral (finite) volume method for conservation laws on unstructured grids V: Extension to three-dimensional systems

Author keywords

3D Systems of conservation laws; High order; Maxwell equations; Spectral volume; Unstructured grid

Indexed keywords

CACHE MEMORY; CIRCULAR CYLINDERS; ELECTROMAGNETIC WAVES; FINITE VOLUME METHOD; NUMERICAL METHODS; PHYSICAL PROPERTIES;

EID: 29144498690     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2005.06.024     Document Type: Article
Times cited : (167)

References (28)
  • 1
    • 0002677386 scopus 로고
    • On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation
    • R. Abgrall On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation J. Comput. Phys. 114 1994 45-58
    • (1994) J. Comput. Phys. , vol.114 , pp. 45-58
    • Abgrall, R.1
  • 2
    • 0003475441 scopus 로고
    • High-order solution of the Euler equations on unstructured grids using quadratic reconstruction
    • AIAA Paper No. 90-0013
    • T.J. Barth, P.O. Frederickson, High-order solution of the Euler equations on unstructured grids using quadratic reconstruction, AIAA Paper No. 90-0013, 1990.
    • (1990)
    • Barth, T.J.1    Frederickson, P.O.2
  • 3
    • 0029511833 scopus 로고
    • Approximate optimal points for polynomial interpolation of real functions in an interval and in a triangle
    • Q. Chen I. Babuska Approximate optimal points for polynomial interpolation of real functions in an interval and in a triangle Comput. Methods Appl. Mech. Eng. 128 1995 405-417
    • (1995) Comput. Methods Appl. Mech. Eng. , vol.128 , pp. 405-417
    • Chen, Q.1    Babuska, I.2
  • 4
    • 84966246413 scopus 로고
    • TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: General framework
    • B. Cockburn C.-W. Shu TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: General framework Math. Comput. 52 1989 411-435
    • (1989) Math. Comput. , vol.52 , pp. 411-435
    • Cockburn, B.1    Shu, C.-W.2
  • 5
    • 45249130080 scopus 로고
    • TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One-dimensional systems
    • B. Cockburn S.-Y. Lin C.-W. Shu TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems J. Comput. Phys. 84 1989 90-113
    • (1989) J. Comput. Phys. , vol.84 , pp. 90-113
    • Cockburn, B.1    Lin, S.-Y.2    Shu, C.-W.3
  • 6
    • 84966261380 scopus 로고
    • TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: The multidimensional case
    • B. Cockburn S. Hou C.-W. Shu TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: the multidimensional case Math. Comput. 54 1990 545-581
    • (1990) Math. Comput. , vol.54 , pp. 545-581
    • Cockburn, B.1    Hou, S.2    Shu, C.-W.3
  • 7
    • 0001690553 scopus 로고    scopus 로고
    • The Runge-Kutta discontinuous Garlerkin method for conservation laws V: Multidimensional systems
    • B. Cockburn C.-W. Shu The Runge-Kutta discontinuous Garlerkin method for conservation laws V: Multidimensional systems J. Comput. Phys. 141 1998 199-224
    • (1998) J. Comput. Phys. , vol.141 , pp. 199-224
    • Cockburn, B.1    Shu, C.-W.2
  • 8
    • 0009913777 scopus 로고    scopus 로고
    • Quadratic reconstruction finite volume schemes on 3D arbitrary unstructured polyhedral grids
    • AIAA Paper No. 99-3259-CP
    • M. Delanaye, Yen Liu, Quadratic reconstruction finite volume schemes on 3D arbitrary unstructured polyhedral grids, AIAA Paper No. 99-3259-CP, 1999.
    • (1999)
    • Delanaye, M.1    Liu, Y.2
  • 9
    • 0000935266 scopus 로고
    • A finite-difference method for the numerical computation of discontinuous solutions of the equations of fluid dynamics
    • S.K. Godunov A finite-difference method for the numerical computation of discontinuous solutions of the equations of fluid dynamics Mat. Sb. 47 1959 271
    • (1959) Mat. Sb. , vol.47 , pp. 271
    • Godunov, S.K.1
  • 11
  • 12
    • 0003140474 scopus 로고    scopus 로고
    • Weighted essentially non-oscillatory schemes on triangular meshes
    • C. Hu C.-W. Shu Weighted essentially non-oscillatory schemes on triangular meshes J. Comput. Phys. 150 1999 97-127
    • (1999) J. Comput. Phys. , vol.150 , pp. 97-127
    • Hu, C.1    Shu, C.-W.2
  • 14
    • 0030584644 scopus 로고    scopus 로고
    • Fourier analysis of numerical algorithms for the Maxwell equations
    • Y. Liu Fourier analysis of numerical algorithms for the Maxwell equations J. Comput. Phys. 120 1996 396-416
    • (1996) J. Comput. Phys. , vol.120 , pp. 396-416
    • Liu, Y.1
  • 15
    • 0009919336 scopus 로고    scopus 로고
    • Exact integration of polynomials and symmetric quadrature formulas over arbitrary polyhedral grids
    • Y. Liu M. Vinokur Exact integration of polynomials and symmetric quadrature formulas over arbitrary polyhedral grids J. Comput. Phys. 140 1998 122-147
    • (1998) J. Comput. Phys. , vol.140 , pp. 122-147
    • Liu, Y.1    Vinokur, M.2
  • 16
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameter vectors, and difference schemes
    • P.L. Roe Approximate Riemann solvers, parameter vectors, and difference schemes J. Comput. Phys. 43 1981 357-372
    • (1981) J. Comput. Phys. , vol.43 , pp. 357-372
    • Roe, P.L.1
  • 17
    • 0001328401 scopus 로고
    • Calculation of interaction of non-steady shock waves with obstacles
    • V.V. Rusanov Calculation of interaction of non-steady shock waves with obstacles J. Comput. Math. Phys. USSR 1 1961 267-279
    • (1961) J. Comput. Math. Phys. USSR , vol.1 , pp. 267-279
    • Rusanov, V.V.1
  • 18
    • 85006444053 scopus 로고
    • A CFD-based finite-volume procedure for computational electromagnetics - Interdisciplinary application for CFD methods
    • AIAA paper 89-1987
    • V. Shankar, W.F. Hall, A.H. Mohammadian, A CFD-based finite-volume procedure for computational electromagnetics - interdisciplinary application for CFD methods, AIAA paper 89-1987, 1989.
    • (1989)
    • Shankar, V.1    Hall, W.F.2    Mohammadian, A.H.3
  • 19
    • 0000564951 scopus 로고
    • Total-variation-diminishing time discretizations
    • C.-W. Shu Total-variation-diminishing time discretizations SIAM J. Sci. Stat. Comput. 9 1988 1073-1084
    • (1988) SIAM J. Sci. Stat. Comput. , vol.9 , pp. 1073-1084
    • Shu, C.-W.1
  • 20
    • 84966251037 scopus 로고
    • TVB uniformly high-order schemes for conservation laws
    • C.-W. Shu TVB uniformly high-order schemes for conservation laws Math. Comput. 49 1987 105-121
    • (1987) Math. Comput. , vol.49 , pp. 105-121
    • Shu, C.-W.1
  • 21
    • 0000034725 scopus 로고    scopus 로고
    • Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws
    • B. Cockburn C. Johnson C.-W. Shu E. Tadmor (Eds.) In: A. Quarteroni (Ed.) Lecture Notes in Mathematics Springer Berlin
    • C.-W. Shu Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws in: B. Cockburn C. Johnson C.-W. Shu E. Tadmor (Eds.) Advanced Numerical Approximation of Nonlinear Hyperbolic Equations In: A. Quarteroni (Ed.) Lecture Notes in Mathematics vol. 1697 1998 Springer Berlin 325-432
    • (1998) Advanced Numerical Approximation of Nonlinear Hyperbolic Equations , vol.1697 , pp. 325-432
    • Shu, C.-W.1
  • 22
    • 0001568854 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock-capturing schemes II
    • C.-W. Shu S. Osher Efficient implementation of essentially non-oscillatory shock-capturing schemes II J. Comput. Phys. 83 1989 32
    • (1989) J. Comput. Phys. , vol.83 , pp. 32
    • Shu, C.-W.1    Osher, S.2
  • 23
    • 0036570604 scopus 로고    scopus 로고
    • Spectral (finite) volume method for conservation laws on unstructured grids: Basic formulation
    • Z.J. Wang Spectral (finite) volume method for conservation laws on unstructured grids: Basic formulation J. Comput. Phys. 178 2002 210
    • (2002) J. Comput. Phys. , vol.178 , pp. 210
    • Wang, Z.J.1
  • 24
    • 0036647456 scopus 로고    scopus 로고
    • Spectral (finite) volume method for conservation laws on unstructured grids II: Extension to two-dimensional scalar equation
    • Z.J. Wang Y. Liu Spectral (finite) volume method for conservation laws on unstructured grids II: Extension to two-dimensional scalar equation J. Comput. Phys. 179 2002 665-697
    • (2002) J. Comput. Phys. , vol.179 , pp. 665-697
    • Wang, Z.J.1    Liu, Y.2
  • 25
    • 0347300259 scopus 로고    scopus 로고
    • Spectral (finite) volume method for conservation laws on unstructured grids III: One-dimensional systems and partition optimization
    • Z.J. Wang Y. Liu Spectral (finite) volume method for conservation laws on unstructured grids III: One-dimensional systems and partition optimization J. Sci. Comput. 20 2004 137-157
    • (2004) J. Sci. Comput. , vol.20 , pp. 137-157
    • Wang, Z.J.1    Liu, Y.2
  • 26
    • 1442307691 scopus 로고    scopus 로고
    • Spectral (finite) volume method for conservation laws on unstructured grids IV: Extension to two-dimensional systems
    • Z.J. Wang Y. Liu L. Zhang Spectral (finite) volume method for conservation laws on unstructured grids IV: Extension to two-dimensional systems J. Comput. Phys. 194 2004 716-741
    • (2004) J. Comput. Phys. , vol.194 , pp. 716-741
    • Wang, Z.J.1    Liu, Y.2    Zhang, L.3
  • 27
    • 0004149831 scopus 로고    scopus 로고
    • fourth ed. New York: Wolfram Media and Cambridge University Press
    • S. Wolfram The Mathematica Book fourth ed. 1999 Wolfram Media and Cambridge University Press New York
    • (1999) The Mathematica Book
    • Wolfram, S.1
  • 28
    • 84894021661 scopus 로고
    • Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media
    • K.S. Yee Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media IEEE Trans. Antennas Propagat. AP-14 1966 302-307
    • (1966) IEEE Trans. Antennas Propagat. , vol.AP-14 , pp. 302-307
    • Yee, K.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.