메뉴 건너뛰기




Volumn 205, Issue 2, 2005, Pages 458-485

Anti-diffusive flux corrections for high order finite difference WENO schemes

Author keywords

Anti diffusive flux correction; High order accuracy; Sharpening contact discontinuity; WENO scheme

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS;

EID: 17144431379     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.11.014     Document Type: Article
Times cited : (152)

References (30)
  • 1
    • 0000897959 scopus 로고    scopus 로고
    • Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
    • D. Balsara C.-W. Shu Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy Journal of Computational Physics 160 2000 405-452
    • (2000) Journal of Computational Physics , vol.160 , pp. 405-452
    • Balsara, D.1    Shu, C.-W.2
  • 2
    • 7544237586 scopus 로고    scopus 로고
    • An antidiffusive entropy scheme for monotone scalar conservation law
    • F. Bouchut An antidiffusive entropy scheme for monotone scalar conservation law Journal of Scientific Computing 21 2004 1-30
    • (2004) Journal of Scientific Computing , vol.21 , pp. 1-30
    • Bouchut, F.1
  • 3
    • 1642352182 scopus 로고    scopus 로고
    • Contact discontinuity capturing schemes for linear advection, compressible gas dynamics
    • B. Després F. Lagoutière Contact discontinuity capturing schemes for linear advection, compressible gas dynamics Journal of Scientific Computing 16 2001 479-524
    • (2001) Journal of Scientific Computing , vol.16 , pp. 479-524
    • Després, B.1    Lagoutière, F.2
  • 4
    • 85190823852 scopus 로고    scopus 로고
    • Numerical resolution of a two component compressible fluid model with interfaces and mixing zones
    • preprint
    • B. Després, F. Lagoutière, Numerical resolution of a two component compressible fluid model with interfaces and mixing zones, preprint
    • Després, B.1    Lagoutière, F.2
  • 5
    • 0000853110 scopus 로고
    • The dynamics of bubble growth for Rayleigh-Taylor unstable interfaces
    • J. Glimm J. Grove X. Li W. Oh D.C. Tan The dynamics of bubble growth for Rayleigh-Taylor unstable interfaces Physics of Fluids 31 1988 447-465
    • (1988) Physics of Fluids , vol.31 , pp. 447-465
    • Glimm, J.1    Grove, J.2    Li, X.3    Oh, W.4    Tan, D.C.5
  • 6
    • 84966209569 scopus 로고
    • On the accuracy of stable schemes for 2D scalar conservation laws
    • J.B. Goodman R.J. LeVeque On the accuracy of stable schemes for 2D scalar conservation laws Mathematics of Computation 45 1985 15-21
    • (1985) Mathematics of Computation , vol.45 , pp. 15-21
    • Goodman, J.B.1    LeVeque, R.J.2
  • 7
    • 84966219074 scopus 로고
    • The artificial compression method for computation of shocks and contact discontinuities: III
    • A. Harten The artificial compression method for computation of shocks and contact discontinuities: III Mathematics of Computation 32 1978 363-389
    • (1978) Mathematics of Computation , vol.32 , pp. 363-389
    • Harten, A.1
  • 8
  • 10
    • 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 Journal of Computational Physics 150 1999 97-127
    • (1999) Journal of Computational Physics , vol.150 , pp. 97-127
    • Hu, C.1    Shu, C.-W.2
  • 11
    • 0030161771 scopus 로고    scopus 로고
    • Efficient implementation of weighted ENO schemes
    • G. Jiang C.-W. Shu Efficient implementation of weighted ENO schemes Journal of Computational Physics 126 1996 202-228
    • (1996) Journal of Computational Physics , vol.126 , pp. 202-228
    • Jiang, G.1    Shu, C.-W.2
  • 12
    • 84980078953 scopus 로고
    • Weak solutions of nonlinear hyperbolic equations and their numerical computation
    • P.D. Lax Weak solutions of nonlinear hyperbolic equations and their numerical computation Communications on Pure and Applied Mathematics 7 1954 159-193
    • (1954) Communications on Pure and Applied Mathematics , vol.7 , pp. 159-193
    • Lax, P.D.1
  • 15
    • 0000233119 scopus 로고
    • Some contribution to the modelling of discontinuous flows
    • P.L. Roe Some contribution to the modelling of discontinuous flows Lectures in Applied Mathematics 22 1985 163-193
    • (1985) Lectures in Applied Mathematics , vol.22 , pp. 163-193
    • Roe, P.L.1
  • 16
    • 0036151484 scopus 로고    scopus 로고
    • A technique of treating negative weights in WENO schemes
    • J. Shi C. Hu C.-W. Shu A technique of treating negative weights in WENO schemes Journal of Computational Physics 175 2002 108-127
    • (2002) Journal of Computational Physics , vol.175 , pp. 108-127
    • Shi, J.1    Hu, C.2    Shu, C.-W.3
  • 17
    • 0037431197 scopus 로고    scopus 로고
    • Resolution of high order WENO schemes for complicated flow structures
    • J. Shi Y.-T. Zhang C.-W. Shu Resolution of high order WENO schemes for complicated flow structures Journal of Computational Physics 186 2003 690-696
    • (2003) Journal of Computational Physics , vol.186 , pp. 690-696
    • Shi, J.1    Zhang, Y.-T.2    Shu, C.-W.3
  • 18
    • 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.), A. Quarteroni (Ed.), Advanced Numerical Approximation of Nonlinear Hyperbolic Equations 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) Lecture Notes in Mathematics , vol.1697 , pp. 325-432
    • Shu, C.-W.1
  • 19
    • 0037383334 scopus 로고    scopus 로고
    • High order finite difference and finite volume WENO schemes and discontinuous Galerkin methods for CFD
    • C.-W. Shu High order finite difference and finite volume WENO schemes and discontinuous Galerkin methods for CFD International Journal of Computational Fluid Dynamics 17 2003 107-118
    • (2003) International Journal of Computational Fluid Dynamics , vol.17 , pp. 107-118
    • Shu, C.-W.1
  • 20
    • 45449125925 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock-capturing schemes
    • C.-W. Shu S. Osher Efficient implementation of essentially non-oscillatory shock-capturing schemes Journal of Computational Physics 77 1988 439-471
    • (1988) Journal of Computational Physics , vol.77 , pp. 439-471
    • Shu, C.-W.1    Osher, S.2
  • 21
    • 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 Journal of Computational Physics 83 1989 32-78
    • (1989) Journal of Computational Physics , vol.83 , pp. 32-78
    • Shu, C.-W.1    Osher, S.2
  • 22
    • 0031220347 scopus 로고    scopus 로고
    • Geometric shock-capturing ENO schemes for subpixel interpolation computation and curve evolution
    • K. Siddiqi B. Kimia C.-W. Shu Geometric shock-capturing ENO schemes for subpixel interpolation computation and curve evolution Graphical Models and Image Processing (CVGIP:GMIP) 59 1997 278-301
    • (1997) Graphical Models and Image Processing (CVGIP:GMIP) , vol.59 , pp. 278-301
    • Siddiqi, K.1    Kimia, B.2    Shu, C.-W.3
  • 23
    • 2942705023 scopus 로고
    • A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
    • G. Sod A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws Journal of Computational Physics 43 1978 1-31
    • (1978) Journal of Computational Physics , vol.43 , pp. 1-31
    • Sod, G.1
  • 24
    • 0021513424 scopus 로고
    • High resolution schemes using flux limiters for hyperbolic conservation laws
    • P.K. Sweby High resolution schemes using flux limiters for hyperbolic conservation laws SIAM Journal on Numerical Analysis 21 1984 995-1011
    • (1984) SIAM Journal on Numerical Analysis , vol.21 , pp. 995-1011
    • Sweby, P.K.1
  • 25
    • 85190793192 scopus 로고    scopus 로고
    • ENO and WENO schemes based on upwind and centered TVD fluxes
    • to appear
    • V.A. Titarev, E.F. Toro, ENO and WENO schemes based on upwind and centered TVD fluxes, Computers and Fluids, to appear
    • Computers and Fluids
    • Titarev, V.A.1    Toro, E.F.2
  • 27
    • 48749139407 scopus 로고
    • The numerical simulation of two-dimensional fluid flow with strong shocks
    • P. Woodward P. Colella The numerical simulation of two-dimensional fluid flow with strong shocks Journal of Computational Physics 54 1984 115-173
    • (1984) Journal of Computational Physics , vol.54 , pp. 115-173
    • Woodward, P.1    Colella, P.2
  • 28
    • 0000200938 scopus 로고
    • An artificial compression method for ENO schemes: The slope modification method
    • H. Yang An artificial compression method for ENO schemes: The slope modification method Journal of Computational Physics 89 1990 125-160
    • (1990) Journal of Computational Physics , vol.89 , pp. 125-160
    • Yang, H.1
  • 29
    • 0035950850 scopus 로고    scopus 로고
    • On the miscible Rayleigh-Taylor instability: Two and three dimensions
    • Y.-N. Young H. Tufo A. Dubey R. Rosner On the miscible Rayleigh-Taylor instability: Two and three dimensions Journal of Fluid Mechanics 447 2001 377-408
    • (2001) Journal of Fluid Mechanics , vol.447 , pp. 377-408
    • Young, Y.-N.1    Tufo, H.2    Dubey, A.3    Rosner, R.4
  • 30
    • 0346304850 scopus 로고    scopus 로고
    • Numerical viscosity and resolution of high-order weighted essentially nonoscillatory schemes for compressible flows with high Reynolds numbers
    • Y.-T. Zhang J. Shi C.-W. Shu Y. Zhou Numerical viscosity and resolution of high-order weighted essentially nonoscillatory schemes for compressible flows with high Reynolds numbers Physical Review E 68 2003 046709
    • (2003) Physical Review E , vol.68 , pp. 046709
    • Zhang, Y.-T.1    Shi, J.2    Shu, C.-W.3    Zhou, Y.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.