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Volumn 222, Issue 2, 2007, Pages 849-871

CIP/multi-moment finite volume method for Euler equations: A semi-Lagrangian characteristic formulation

Author keywords

Characteristics; CIP; Compressible flow; Finite volume method; Hyperbolic equation; Multi moment; Semi Lagrangian scheme

Indexed keywords

BENCHMARKING; INTERPOLATION; LAGRANGE MULTIPLIERS; MESH GENERATION; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; PHYSICAL PROPERTIES; RUNGE KUTTA METHODS;

EID: 33847018054     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.08.015     Document Type: Article
Times cited : (59)

References (38)
  • 1
    • 34547419627 scopus 로고
    • The piecewise parabolic method for gas-dynamical simulations
    • Colella P., and Woodward P. The piecewise parabolic method for gas-dynamical simulations. J. Comput. Phys. 54 (1984) 174
    • (1984) J. Comput. Phys. , vol.54 , pp. 174
    • Colella, P.1    Woodward, P.2
  • 2
    • 84966246413 scopus 로고
    • TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: general framework
    • Cockburn B., and Shu C.W. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: general framework. Math. Comput. 52 (1989) 411
    • (1989) Math. Comput. , vol.52 , pp. 411
    • Cockburn, B.1    Shu, C.W.2
  • 3
    • 45249130080 scopus 로고
    • TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems
    • Cockburn B., Lin S.Y., and Shu C.W. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems. J. Comput. Phys. 84 (1989) 90
    • (1989) J. Comput. Phys. , vol.84 , pp. 90
    • Cockburn, B.1    Lin, S.Y.2    Shu, C.W.3
  • 4
    • 84966261380 scopus 로고
    • TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: the multidimensional case
    • Cockburn B., Hou S., and Shu C.W. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: the multidimensional case. Math. Comput. 54 (1990) 545
    • (1990) Math. Comput. , vol.54 , pp. 545
    • Cockburn, B.1    Hou, S.2    Shu, C.W.3
  • 5
    • 0001690553 scopus 로고    scopus 로고
    • The Runge-Kutta discontinuous Galerkin method for conservation laws V: the multidimensional systems
    • Cockburn B., and Shu C.W. The Runge-Kutta discontinuous Galerkin method for conservation laws V: the multidimensional systems. J. Comput. Phys. 141 (1998) 199
    • (1998) J. Comput. Phys. , vol.141 , pp. 199
    • Cockburn, B.1    Shu, C.W.2
  • 6
    • 40749159424 scopus 로고
    • High resolution schemes for hyperbolic conservation laws
    • Harten A. High resolution schemes for hyperbolic conservation laws. J. Comput. Phys. 49 (1983) 357
    • (1983) J. Comput. Phys. , vol.49 , pp. 357
    • Harten, A.1
  • 8
    • 27744564629 scopus 로고    scopus 로고
    • A 4th-order and single-cell-based advection scheme on unstructured grids using multi-moments
    • Ii S., Shimuta M., and Xiao F. A 4th-order and single-cell-based advection scheme on unstructured grids using multi-moments. Comput. Phys. Comm. 173 (2005) 17
    • (2005) Comput. Phys. Comm. , vol.173 , pp. 17
    • Ii, S.1    Shimuta, M.2    Xiao, F.3
  • 9
    • 0030161771 scopus 로고    scopus 로고
    • Efficient implementation of weighted ENO schemes
    • Jiang G., and Shu C.W. Efficient implementation of weighted ENO schemes. J. Comput. Phys. 126 (1996) 202
    • (1996) J. Comput. Phys. , vol.126 , pp. 202
    • Jiang, G.1    Shu, C.W.2
  • 10
    • 84980078953 scopus 로고
    • Weak solutions of nonlinear hyperbolic equations and their numerical computation
    • Lax P.D. Weak solutions of nonlinear hyperbolic equations and their numerical computation. Commun. Pure Appl. Math. 7 (1954) 159
    • (1954) Commun. Pure Appl. Math. , vol.7 , pp. 159
    • Lax, P.D.1
  • 11
    • 0000592595 scopus 로고
    • Weighted essentially non-oscillatory schemes
    • Liu X.D., Osher S., and Chan T. Weighted essentially non-oscillatory schemes. J. Comput. Phys. 115 (1994) 200
    • (1994) J. Comput. Phys. , vol.115 , pp. 200
    • Liu, X.D.1    Osher, S.2    Chan, T.3
  • 12
    • 0344981340 scopus 로고    scopus 로고
    • Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: one-dimensional case
    • Qiu J., and Shu C.W. Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: one-dimensional case. J. Comput. Phys. 193 (2003) 115
    • (2003) J. Comput. Phys. , vol.193 , pp. 115
    • Qiu, J.1    Shu, C.W.2
  • 13
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameter vectors, and difference schemes
    • Roe P.L. Approximate Riemann solvers, parameter vectors, and difference schemes. J. Comput. Phys. 43 (1981) 357
    • (1981) J. Comput. Phys. , vol.43 , pp. 357
    • Roe, P.L.1
  • 14
    • 84966199917 scopus 로고
    • A third-order accurate variation nonexpansive difference scheme for single nonlinear conservation laws
    • Sanders R. A third-order accurate variation nonexpansive difference scheme for single nonlinear conservation laws. Math. Comput. 51 (1988) 535
    • (1988) Math. Comput. , vol.51 , pp. 535
    • Sanders, R.1
  • 15
    • 84966251037 scopus 로고
    • TVB uniformly high-order schemes for conservation laws
    • Shu C.W. TVB uniformly high-order schemes for conservation laws. Math. Comput. 49 (1987) 105
    • (1987) Math. Comput. , vol.49 , pp. 105
    • Shu, C.W.1
  • 16
    • 0000564951 scopus 로고
    • Total-variation-diminishing time discretizations
    • Shu C.W. Total-variation-diminishing time discretizations. SIAM J. Sci. Stat. Comput. 9 (1988) 1073
    • (1988) SIAM J. Sci. Stat. Comput. , vol.9 , pp. 1073
    • Shu, C.W.1
  • 17
    • 45449125925 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock capturing schemes
    • Shu C.W., and Osher S. Efficient implementation of essentially non-oscillatory shock capturing schemes. J. Comput. Phys. 77 (1988) 439
    • (1988) J. Comput. Phys. , vol.77 , pp. 439
    • Shu, C.W.1    Osher, S.2
  • 18
    • 0001568854 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock capturing schemes, II
    • Shu C.W., and Osher S. 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
  • 19
    • 2942705023 scopus 로고
    • A survey of several finite difference methods for systems of non-linear conservation laws
    • Sod G. A survey of several finite difference methods for systems of non-linear conservation laws. J. Comput. Phys. 27 (1978) 1
    • (1978) J. Comput. Phys. , vol.27 , pp. 1
    • Sod, G.1
  • 20
    • 0034635945 scopus 로고    scopus 로고
    • Constructing exactly conservative scheme in a non-conservative form
    • Tanaka R., Nakamura T., and Yabe T. Constructing exactly conservative scheme in a non-conservative form. Comput. Phys. Commun. 126 (2000) 232
    • (2000) Comput. Phys. Commun. , vol.126 , pp. 232
    • Tanaka, R.1    Nakamura, T.2    Yabe, T.3
  • 21
    • 2442433925 scopus 로고
    • Towards the ultimate conservative difference scheme. V. A second order sequel to Godunov's method
    • van Leer B. Towards the ultimate conservative difference scheme. V. A second order sequel to Godunov's method. J. Comput. Phys. 32 (1979) 101
    • (1979) J. Comput. Phys. , vol.32 , pp. 101
    • van Leer, B.1
  • 22
    • 0020223604 scopus 로고
    • Flux-vector splitting for the Euler equations
    • van Leer B. Flux-vector splitting for the Euler equations. Lecture Notes Phys. 170 (1982) 507
    • (1982) Lecture Notes Phys. , vol.170 , pp. 507
    • van Leer, B.1
  • 23
    • 0036570604 scopus 로고    scopus 로고
    • Spectral (finite) volume method for conservation laws on unstructured grids: basic formulation
    • Wang Z.J. 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
    • Wang Z.J., and Liu Y. Spectral (finite) volume method for conservation laws on unstructured grids II: extension to two-dimensional scalar equation. J. Comput. Phys. 179 (2002) 665
    • (2002) J. Comput. Phys. , vol.179 , pp. 665
    • 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
    • Wang Z.J., and Liu Y. Spectral (finite) volume method for conservation laws on unstructured grids III: one-dimensional systems and partition optimization. J. Sci. Comput. 20 (2004) 137
    • (2004) J. Sci. Comput. , vol.20 , pp. 137
    • 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
    • Wang Z.J., Liu Y., and Zhang L. Spectral (finite) volume method for conservation laws on unstructured grids IV: extension to two-dimensional systems. J. Comput. Phys. 194 (2004) 716
    • (2004) J. Comput. Phys. , vol.194 , pp. 716
    • Wang, Z.J.1    Liu, Y.2    Zhang, L.3
  • 27
    • 48749139407 scopus 로고
    • The numerical simulation of two-dimensional fluid flow with strong shocks
    • Woodward P., and Colella P. The numerical simulation of two-dimensional fluid flow with strong shocks. J. Comput. Phys. 54 (1984) 115
    • (1984) J. Comput. Phys. , vol.54 , pp. 115
    • Woodward, P.1    Colella, P.2
  • 28
    • 0037655394 scopus 로고    scopus 로고
    • Completely conservative and oscillation-less semi-Lagrangian schemes for advection transportation
    • Xiao F., and Yabe T. Completely conservative and oscillation-less semi-Lagrangian schemes for advection transportation. J. Comput. Phys. 170 (2001) 498
    • (2001) J. Comput. Phys. , vol.170 , pp. 498
    • Xiao, F.1    Yabe, T.2
  • 29
    • 36448972734 scopus 로고    scopus 로고
    • Conservative and oscillation-less atmospheric transport schemes based on rational functions
    • Xiao F., Yabe T., Peng X., and Kobayashi H. Conservative and oscillation-less atmospheric transport schemes based on rational functions. J. Geophys. Res. 107 (2002) 4609
    • (2002) J. Geophys. Res. , vol.107 , pp. 4609
    • Xiao, F.1    Yabe, T.2    Peng, X.3    Kobayashi, H.4
  • 30
    • 1842767568 scopus 로고    scopus 로고
    • Profile-modifiable conservative transport schemes and a simple multi integrated moment formulation for hydrodynamics
    • Armfield S., Morgan P., and Srinivas K. (Eds), Springer
    • Xiao F. Profile-modifiable conservative transport schemes and a simple multi integrated moment formulation for hydrodynamics. In: Armfield S., Morgan P., and Srinivas K. (Eds). Computational Fluid Dynamics 2002 (2003), Springer 106
    • (2003) Computational Fluid Dynamics 2002 , pp. 106
    • Xiao, F.1
  • 31
    • 0038476552 scopus 로고    scopus 로고
    • An efficient method for capturing free boundary in multi-fluid simulations
    • Xiao F., and Ikebata A. An efficient method for capturing free boundary in multi-fluid simulations. Int. J. Numer. Method Fluid 42 (2003) 187
    • (2003) Int. J. Numer. Method Fluid , vol.42 , pp. 187
    • Xiao, F.1    Ikebata, A.2
  • 32
    • 1842632661 scopus 로고    scopus 로고
    • Unified formulation for compressible and incompressible flows by using multi integrated moment method: one-dimensional inviscid compressible flow
    • Xiao F. Unified formulation for compressible and incompressible flows by using multi integrated moment method: one-dimensional inviscid compressible flow. J. Comput. Phys. 195 (2004) 629
    • (2004) J. Comput. Phys. , vol.195 , pp. 629
    • Xiao, F.1
  • 33
    • 31744440190 scopus 로고    scopus 로고
    • Unified formulation for compressible and incompressible flows by using multi-integrated moments II: multi-dimensional version for compressible and incompressible flows
    • Xiao F., Akoh R., and Ii S. Unified formulation for compressible and incompressible flows by using multi-integrated moments II: multi-dimensional version for compressible and incompressible flows. J. Comput. Phys. 213 (2006) 31
    • (2006) J. Comput. Phys. , vol.213 , pp. 31
    • Xiao, F.1    Akoh, R.2    Ii, S.3
  • 34
    • 13544262423 scopus 로고    scopus 로고
    • Numerical simulations of free-interface fluids by a multi integrated moment method
    • Xiao F., Ikebata A., and Hasegawa T. Numerical simulations of free-interface fluids by a multi integrated moment method. Comput. Struct. 83 (2005) 409
    • (2005) Comput. Struct. , vol.83 , pp. 409
    • Xiao, F.1    Ikebata, A.2    Hasegawa, T.3
  • 35
    • 3242888321 scopus 로고    scopus 로고
    • A convexity preserving scheme for conservative advection transport
    • Xiao F., and Peng X. A convexity preserving scheme for conservative advection transport. J. Comput. Phys. 198 (2004) 389
    • (2004) J. Comput. Phys. , vol.198 , pp. 389
    • Xiao, F.1    Peng, X.2
  • 36
    • 0026219990 scopus 로고
    • A universal solver for hyperbolic-equations by cubic-polynomial interpolation. 1. One-dimensional solver
    • Yabe T., and Aoki T. A universal solver for hyperbolic-equations by cubic-polynomial interpolation. 1. One-dimensional solver. Comput. Phys. Commun. 66 (1991) 219
    • (1991) Comput. Phys. Commun. , vol.66 , pp. 219
    • Yabe, T.1    Aoki, T.2
  • 37
    • 0035244971 scopus 로고    scopus 로고
    • Exactly conservative semi-Lagrangian scheme (CIP-CSL) in one dimension
    • Yabe T., Tanaka R., Nakamura T., and Xiao F. Exactly conservative semi-Lagrangian scheme (CIP-CSL) in one dimension. Mon. Weather Rev. 129 (2001) 332
    • (2001) Mon. Weather Rev. , vol.129 , pp. 332
    • Yabe, T.1    Tanaka, R.2    Nakamura, T.3    Xiao, F.4
  • 38
    • 0001531042 scopus 로고    scopus 로고
    • The constrained interpolation profile method for multiphase analysis
    • Yabe T., Xiao F., and Utsumi T. The constrained interpolation profile method for multiphase analysis. J. Comput. Phys. 169 (2001) 556
    • (2001) J. Comput. Phys. , vol.169 , pp. 556
    • Yabe, T.1    Xiao, F.2    Utsumi, T.3


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