메뉴 건너뛰기




Volumn 201, Issue 1, 2004, Pages 238-260

Finite-volume WENO schemes for three-dimensional conservation laws

Author keywords

FORCE flux; High order schemes; HLLC flux; MUSTA flux; Two and three space dimensions; Weighted essentially non oscillatory

Indexed keywords

ESSENTIALLY NON-OSCILLATORY; FINITE-VOLUME; FORCE FLUX; HIGH-ORDER SCHEME; HLLC FLUX; MUSTA FLUX; THREE SPACE DIMENSIONS; TWO AND THREE SPACE DIMENSION; WEIGHTED ESSENTIALLY NON-OSCILLATORY; WENO SCHEMES;

EID: 13844270719     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.05.015     Document Type: Article
Times cited : (411)

References (24)
  • 1
    • 0000897959 scopus 로고    scopus 로고
    • Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
    • Balsara D.S. Shu C.W. Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy J. Comput. Phys 160 2000 405-452
    • (2000) J. Comput. Phys. , vol.160 , pp. 405-452
    • Balsara, D.S.1    Shu, C.W.2
  • 2
    • 0002267573 scopus 로고
    • A finite-volume high order ENO scheme for two dimensional hyperbolic systems
    • Casper J. Atkins H. A finite-volume high order ENO scheme for two dimensional hyperbolic systems J. Comput. Phys 106 1993 62-76
    • (1993) J. Comput. Phys. , vol.106 , pp. 62-76
    • Casper, J.1    Atkins, H.2
  • 3
    • 13844299967 scopus 로고    scopus 로고
    • Centred schemes for nonlinear hyperbolic equations
    • Preprint NI03046-NPA, Isaac Newton Institute for Mathematical Sciences, University of Cambridge, UK
    • G.Q. Chen, E.F. Toro, Centred schemes for nonlinear hyperbolic equations, Preprint NI03046-NPA, Isaac Newton Institute for Mathematical Sciences, University of Cambridge, UK, 2003, 31p
    • (2003) , pp. 31
    • Chen, G.Q.1    Toro, E.F.2
  • 4
    • 0000076512 scopus 로고    scopus 로고
    • Runge-Kutta discontinuous Galerkin methods for convection-dominated problems
    • Cockburn B. Shu C.-W. Runge-Kutta discontinuous Galerkin methods for convection-dominated problems J. Sci. Comput 16 2001 173-261
    • (2001) J. Sci. Comput. , vol.16 , pp. 173-261
    • Cockburn, B.1    Shu, C.-W.2
  • 5
    • 0000935266 scopus 로고
    • A finite difference method for the computation of discontinuous solutions of the equation of fluid dynamics
    • Godunov S.K. A finite difference method for the computation of discontinuous solutions of the equation of fluid dynamics Mat. Sb 47 1959 357-393
    • (1959) Mat. Sb. , vol.47 , pp. 357-393
    • Godunov, S.K.1
  • 6
    • 0034080350 scopus 로고    scopus 로고
    • Shock wave-thermal inhomogeneity interactions: Analysis and numerical simulations of sound generation
    • Grasso F. Pirozzoli S. Shock wave-thermal inhomogeneity interactions: analysis and numerical simulations of sound generation Phys. Fluids 12 1 2000 205-219
    • (2000) Phys. Fluids , vol.12 , Issue.1 , pp. 205-219
    • Grasso, F.1    Pirozzoli, S.2
  • 7
    • 0030161771 scopus 로고    scopus 로고
    • Efficient implementation of weighted ENO schemes
    • Jiang G.S. Shu C.W. Efficient implementation of weighted ENO schemes J. Comput. Phys 126 1996 202-212
    • (1996) J. Comput. Phys. , vol.126 , pp. 202-212
    • Jiang, G.S.1    Shu, C.W.2
  • 8
    • 33749725182 scopus 로고
    • Uniformly high order accurate essentially non-oscillatory schemes III
    • Harten A. Engquist B. Osher S. Chakravarthy S.R. Uniformly high order accurate essentially non-oscillatory schemes III J. Comput. Phys 71 1987 231-303
    • (1987) J. Comput. Phys. , vol.71 , pp. 231-303
    • Harten, A.1    Engquist, B.2    Osher, S.3    Chakravarthy, S.R.4
  • 9
    • 0003140474 scopus 로고    scopus 로고
    • Weighted essentially non-oscillatory schemes on triangular meshes
    • Hu C. Shu C.-W. 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
  • 10
    • 0002898994 scopus 로고
    • Application of the minimum-derivative principle in the construction of finite-difference schemes for numerical analysis of discontinuous solutions in gas dynamics
    • (in Russian)
    • Kolgan N.E. Application of the minimum-derivative principle in the construction of finite-difference schemes for numerical analysis of discontinuous solutions in gas dynamics Uchenye Zapiski TsaGI [Sci. Notes Central Inst. Aerodyn.] 3 6 1972 68-77 (in Russian)
    • (1972) Uchenye Zapiski TsaGI [Sci. Notes Central Inst. Aerodyn.] , vol.3 , Issue.6 , pp. 68-77
    • Kolgan, N.E.1
  • 11
    • 8744279475 scopus 로고
    • Finite-difference schemes for computation of three dimensional solutions of gas dynamics and calculation of a flow over a body under an angle of attack
    • (in Russian)
    • Kolgan N.E. Finite-difference schemes for computation of three dimensional solutions of gas dynamics and calculation of a flow over a body under an angle of attack Uchenye Zapiski TsaGI [Sci. Notes Central Inst. Aerodyn.] 6 2 1975 1-6 (in Russian)
    • (1975) Uchenye Zapiski TsaGI [Sci. Notes Central Inst. Aerodyn.] , vol.6 , Issue.2 , pp. 1-6
    • Kolgan, N.E.1
  • 12
    • 0000592595 scopus 로고
    • Weighted essentially non-oscillatory schemes
    • Liu X.D. Osher S. Chan T. Weighted essentially non-oscillatory schemes J. Comput. Phys 115 1994 200-212
    • (1994) J. Comput. Phys. , vol.115 , pp. 200-212
    • Liu, X.D.1    Osher, S.2    Chan, T.3
  • 13
    • 0001328401 scopus 로고
    • Calculation of interaction of non-steady shock waves with obstacles
    • Rusanov V.V. Calculation of interaction of non-steady shock waves with obstacles USSR J. Comput. Math. Phys 1 1961 267-279
    • (1961) USSR J. Comput. Math. Phys. , vol.1 , pp. 267-279
    • Rusanov, V.V.1
  • 14
    • 0036151484 scopus 로고    scopus 로고
    • A technique for treating negative weights in WENO schemes
    • Shi J. Hu C. Shu C.-W. A technique for treating negative weights in WENO schemes J. Comput. Phys 175 2002 108-127
    • (2002) J. Comput. Phys. , vol.175 , pp. 108-127
    • Shi, J.1    Hu, C.2    Shu, C.-W.3
  • 15
    • 0000564951 scopus 로고
    • Total-variation-diminishing time discretizations
    • Shu C.-W. 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
  • 16
    • 0002376210 scopus 로고    scopus 로고
    • On Glimm-related schemes for conservation laws
    • Technical Report MMU-9602, Department of Mathematics and Physics, Manchester Metropolitan University, UK
    • AE.F. Toro, On Glimm-related schemes for conservation laws, Technical Report MMU-9602, Department of Mathematics and Physics, Manchester Metropolitan University, UK, 1996
    • (1996)
    • Toro, E.F.1
  • 18
    • 0042573002 scopus 로고    scopus 로고
    • Multi-stage predictor-corrector fluxes for hyperbolic equations
    • Preprint NI03037-NPA, Isaac Newton Institute for Mathematical Sciences, University of Cambridge, UK
    • E.F. Toro, Multi-stage predictor-corrector fluxes for hyperbolic equations, Preprint NI03037-NPA, Isaac Newton Institute for Mathematical Sciences, University of Cambridge, UK
    • Toro, E.F.1
  • 19
    • 13844282172 scopus 로고
    • Restoration of the Contact Surface in the HLL Riemann Solver
    • Report CoA 9204, June Department of Aerospace Science, College of Aeronautics, Cranfield Institute of Technology, England
    • E.F. Toro, M. Spruce, W. Speares, Restoration of the Contact Surface in the HLL Riemann Solver, Report CoA 9204, June 1992, Department of Aerospace Science, College of Aeronautics, Cranfield Institute of Technology, England
    • (1992)
    • Toro, E.F.1    Spruce, M.2    Speares, W.3
  • 20
    • 0003122153 scopus 로고
    • Restoration of the Contact Surface in the Harten-Lax-van Leer Riemann solver
    • Toro E.F. Spruce M. Speares W. Restoration of the Contact Surface in the Harten-Lax-van Leer Riemann solver J. Shock Waves 4 1994 25-34
    • (1994) J. Shock Waves , vol.4 , pp. 25-34
    • Toro, E.F.1    Spruce, M.2    Speares, W.3
  • 21
    • 2442433925 scopus 로고
    • Towards the ultimate conservative difference scheme V: A second order sequel to Godunov' method
    • van Leer B. Towards the ultimate conservative difference scheme V: A second order sequel to Godunov' method J. Comput. Phys 32 1979 101-136
    • (1979) J. Comput. Phys. , vol.32 , pp. 101-136
    • van Leer, B.1
  • 22
    • 7544220935 scopus 로고    scopus 로고
    • Numerical comparison of WENO finite volume and Runge-Kutta discontinuous Galerkin methods
    • Zhou T. Li Y. Shu C.-W. Numerical comparison of WENO finite volume and Runge-Kutta discontinuous Galerkin methods J. Sci. Comput 16 2001 145-171
    • (2001) J. Sci. Comput. , vol.16 , pp. 145-171
    • Zhou, T.1    Li, Y.2    Shu, C.-W.3
  • 23
    • 48749139407 scopus 로고
    • The numerical simulation of two-dimensional fluid flow with strong shocks
    • Woodward P. Colella P. 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.1    Colella, P.2
  • 24
    • 85035297429 scopus 로고    scopus 로고
    • Numerical viscosity and resolution of high-order weighted essentially nonoscillatory schemes for compressible flows with high Reynolds numbers
    • article number 046709
    • Zhang Y.-T. Shi J. Shu C.-W. Zhou Y. Numerical viscosity and resolution of high-order weighted essentially nonoscillatory schemes for compressible flows with high Reynolds numbers Phys. Rev. E 68 2003 1-16 article number 046709
    • (2003) Phys. Rev. E , vol.68 , pp. 1-16
    • Zhang, Y.-T.1    Shi, J.2    Shu, C.-W.3    Zhou, Y.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.