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Volumn 6, Issue 1, 2011, Pages 1-25

A high-order finite-volume method for conservation laws on locally refined grids

Author keywords

Adaptive mesh refinement; Finite volume methods; High order methods; Hyperbolic partial differential equations

Indexed keywords


EID: 80052821943     PISSN: 15593940     EISSN: 21575452     Source Type: Journal    
DOI: 10.2140/camcos.2011.6.1     Document Type: Article
Times cited : (194)

References (15)
  • 1
    • 20344393858 scopus 로고    scopus 로고
    • A fourth-order accurate local refinement method for Poisson's equation
    • MR 2005m:65295 Zbl 1073.65126
    • M. Barad and P. Colella, A fourth-order accurate local refinement method for Poisson's equation, J. Comput. Phys. 209 (2005), no. 1, 1-18. MR 2005m:65295 Zbl 1073.65126
    • (2005) J. Comput. Phys. , vol.209 , Issue.1 , pp. 1-18
    • Barad, M.1    Colella, P.2
  • 3
    • 11744289966 scopus 로고
    • Local adaptive mesh refinement for shock hydrodynamics
    • M. J. Berger and P. Colella, Local adaptive mesh refinement for shock hydrodynamics, J. Comput. Phys. 82 (1989), no. 1, 64-84.
    • (1989) J. Comput. Phys. , vol.82 , Issue.1 , pp. 64-84
    • Berger, M.J.1    Colella, P.2
  • 4
    • 26844455510 scopus 로고
    • Multidimensional upwind methods for hyperbolic conservation laws
    • MR 91c:76087 Zbl 0694.65041
    • P. Colella, Multidimensional upwind methods for hyperbolic conservation laws, J. Comput. Phys. 87 (1990), no. 1, 171-200. MR 91c:76087 Zbl 0694.65041
    • (1990) J. Comput. Phys. , vol.87 , Issue.1 , pp. 171-200
    • Colella, P.1
  • 5
    • 79951775257 scopus 로고    scopus 로고
    • High-order, finite-volume methods in mapped coordinates
    • P. Colella, M. Dorr, J. Hittinger, and D. F. Martin, High-order, finite-volume methods in mapped coordinates, J. Comput. Phys. 230 (2011), no. 8, 2952-2976.
    • (2011) J. Comput. Phys. , vol.230 , Issue.8 , pp. 2952-2976
    • Colella, P.1    Dorr, M.2    Hittinger, J.3    Martin, D.F.4
  • 8
    • 45449098226 scopus 로고    scopus 로고
    • A limiter for PPM that preserves accuracy at smooth extrema
    • MR 2009d:76079 Zbl 1152.65090
    • P. Colella and M. D. Sekora, A limiter for PPM that preserves accuracy at smooth extrema, J. Comput. Phys. 227 (2008), no. 15, 7069-7076. MR 2009d:76079 Zbl 1152.65090
    • (2008) J. Comput. Phys. , vol.227 , Issue.15 , pp. 7069-7076
    • Colella, P.1    Sekora, M.D.2
  • 9
    • 34547419627 scopus 로고
    • The piecewise parabolic method (PPM) for gas dynamical simulations
    • P. Colella and P. R. Woodward, The piecewise parabolic method (PPM) for gas dynamical simulations, J. Comput. Phys. 54 (1984), 174-201.
    • (1984) J. Comput. Phys. , vol.54 , pp. 174-201
    • Colella, P.1    Woodward, P.R.2
  • 10
    • 84865124630 scopus 로고    scopus 로고
    • Multirate integration of axisymmetric step-flow equations
    • arXiv 0810.2517v1
    • P.-W. Fok and R. R. Rosales, Multirate integration of axisymmetric step-flow equations, (2008), submitted to J. Comp. Phys. arXiv 0810.2517v1
    • (2008) submitted to J. Comp. Phys.
    • Fok, P.-W.1    Rosales, R.R.2
  • 11
    • 0004236492 scopus 로고    scopus 로고
    • 3rd ed., Johns Hopkins Studies in Math. Sciences, Johns Hopkins University Press, Baltimore. MR 97g:65006 Zbl 0865.65009
    • G. H. Golub and C. F. Van Loan, Matrix computations, 3rd ed., Johns Hopkins Studies in Math. Sciences, Johns Hopkins University Press, Baltimore, 1996. MR 97g:65006 Zbl 0865.65009
    • (1996) Matrix computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 12
    • 0037216570 scopus 로고    scopus 로고
    • Additive Runge-Kutta schemes for convection-diffusionreaction equations
    • MR 2003m:65111 Zbl 1013.65103
    • C. A. Kennedy and M. H. Carpenter, Additive Runge-Kutta schemes for convection-diffusionreaction equations, Appl. Numer. Math. 44 (2003), no. 1-2, 139-181. MR 2003m:65111 Zbl 1013.65103
    • (2003) Appl. Numer. Math. , vol.44 , Issue.1-2 , pp. 139-181
    • Kennedy, C.A.1    Carpenter, M.H.2
  • 13
    • 37249089366 scopus 로고    scopus 로고
    • A cell-centered adaptive projection method for the incompressible Navier-Stokes equations in three dimensions
    • MR 2009g:76085 Zbl 1137.76040
    • D. F. Martin, P. Colella, and D. Graves, A cell-centered adaptive projection method for the incompressible Navier-Stokes equations in three dimensions, J. Comput. Phys. 227 (2008), no. 3, 1863-1886. MR 2009g:76085 Zbl 1137.76040
    • (2008) J. Comput. Phys. , vol.227 , Issue.3 , pp. 1863-1886
    • Martin, D.F.1    Colella, P.2    Graves, D.3
  • 14
    • 48749139407 scopus 로고
    • The numerical simulation of two-dimensional fluid flow with strong shocks
    • MR 85e:76004 Zbl 0573.76057
    • P. Woodward and P. Colella, The numerical simulation of two-dimensional fluid flow with strong shocks, J. Comput. Phys. 54 (1984), no. 1, 115-173. MR 85e:76004 Zbl 0573.76057
    • (1984) J. Comput. Phys. , vol.54 , Issue.1 , pp. 115-173
    • Woodward, P.1    Colella, P.2
  • 15
    • 84865121919 scopus 로고    scopus 로고
    • A fourth-order accurate finite-volume method with structured adaptive mesh refinement for solving the advection-diffusion equation, preprint
    • Q. Zhang, H. Johansen, and P. Colella, A fourth-order accurate finite-volume method with structured adaptive mesh refinement for solving the advection-diffusion equation, preprint, 2010, submitted to SIAM J. Sci. Comp.
    • (2010) submitted to SIAM J. Sci. Comp.
    • Zhang, Q.1    Johansen, H.2    Colella, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.