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Volumn 227, Issue 12, 2008, Pages 6001-6043

Multi-dimensional limiting process for three-dimensional flow physics analyses

Author keywords

High speed compressible flows; Multi dimensional limiter; Multi dimensional limiting condition; Numerical oscillation; TVD condition

Indexed keywords

COMPUTATIONAL EFFICIENCY; NUMERICAL METHODS; OSCILLATING FLOW;

EID: 43049131817     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2008.02.012     Document Type: Article
Times cited : (82)

References (38)
  • 1
    • 40749159424 scopus 로고
    • High resolution schemes for hyperbolic conservation laws
    • A. Harten High resolution schemes for hyperbolic conservation laws J. Comput. Phys. 49 3 1983 357 393
    • (1983) J. Comput. Phys. , vol.49 , Issue.3 , pp. 357-393
    • Harten, A.1
  • 2
    • 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 J. Numer. Anal. 21 5 1984 995 1011
    • (1984) SIAM J. Numer. Anal. , vol.21 , Issue.5 , pp. 995-1011
    • Sweby, P.K.1
  • 3
    • 33749725182 scopus 로고
    • Uniformly high order accurate essentially non-oscillatory schemes
    • A. Harten B. Engquist S. Osher Chakravarthy Uniformly high order accurate essentially non-oscillatory schemes 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    Chakravarthy4
  • 4
    • 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 J. Comput. Phys. 77 1988 439 471
    • (1988) J. Comput. Phys. , vol.77 , pp. 439-471
    • Shu, C.W.1    Osher, S.2
  • 5
    • 0028518332 scopus 로고
    • Comparison of two formulations for high-order accurate essentially nonoscillatory schemes
    • J. Casper C.-W. Shu H.L. Atkins Comparison of two formulations for high-order accurate essentially nonoscillatory schemes AIAA J. 32 1994 1970 1977
    • (1994) AIAA J. , vol.32 , pp. 1970-1977
    • Casper, J.1    Shu, C.-W.2    Atkins, H.L.3
  • 7
    • 0030161771 scopus 로고    scopus 로고
    • Efficient implementation of weighted ENO schemes
    • Guang-Shan Jiang Chi-Wang Shu Efficient implementation of weighted ENO schemes J. Comput. Phys. 126 1996 202 228
    • (1996) J. Comput. Phys. , vol.126 , pp. 202-228
    • Jiang, Guang-Shan1    Shu, Chi-Wang2
  • 8
    • 0000897959 scopus 로고    scopus 로고
    • Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
    • Dinshaw S. Balsara Chi-Wang Shu 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, Dinshaw S.1    Shu, Chi-Wang2
  • 9
    • 85190074477 scopus 로고    scopus 로고
    • Chi-Wang Shu, Essential non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws, NASA ICASE Report No. 97-65.
  • 10
    • 84966251037 scopus 로고
    • TVB uniformly high-order schemes for conservation laws
    • C.W. Shu TVB uniformly high-order schemes for conservation laws Math. Comput. 49 179 1987 105 121
    • (1987) Math. Comput. , vol.49 , Issue.179 , pp. 105-121
    • Shu, C.W.1
  • 11
    • 0031234473 scopus 로고    scopus 로고
    • Accurate monotonicity-preserving schemes with Runge–Kutta time stepping
    • A. Suresh H.T. Huynh Accurate monotonicity-preserving schemes with Runge–Kutta time stepping J. Comput. Phys. 136 1997 83 99
    • (1997) J. Comput. Phys. , vol.136 , pp. 83-99
    • Suresh, A.1    Huynh, H.T.2
  • 12
    • 0001191538 scopus 로고    scopus 로고
    • Low-dissipative high-order shock-capturing methods using characteristic-based filters
    • H.C. Yee N.D. Sandham M.J. Djomehri Low-dissipative high-order shock-capturing methods using characteristic-based filters J. Comput. Phys. 150 1999 199 238
    • (1999) J. Comput. Phys. , vol.150 , pp. 199-238
    • Yee, H.C.1    Sandham, N.D.2    Djomehri, M.J.3
  • 13
    • 0000858562 scopus 로고    scopus 로고
    • A class of explicit ENO filters with application to unsteady flows
    • Eric Garnier Pierre Sagaut Michel Deville A class of explicit ENO filters with application to unsteady flows J. Comput. Phys. 170 2001 184 204
    • (2001) J. Comput. Phys. , vol.170 , pp. 184-204
    • Garnier, Eric1    Sagaut, Pierre2    Deville, Michel3
  • 14
    • 84954695021 scopus 로고
    • Analysis and design of numerical schemes for gas dynamics 1 artificial diffusion, upwind biasing, limiters and their effect on accuracy and multigrid convergence
    • A. Jameson Analysis and design of numerical schemes for gas dynamics 1 artificial diffusion, upwind biasing, limiters and their effect on accuracy and multigrid convergence Int. J. Comput. Fluid Dyn. 4 1995 171 218
    • (1995) Int. J. Comput. Fluid Dyn. , vol.4 , pp. 171-218
    • Jameson, A.1
  • 15
    • 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 Math. Comput. 45 1985 15 21
    • (1985) Math. Comput. , vol.45 , pp. 15-21
    • Goodman, J.B.1    LeVeque, R.J.2
  • 16
    • 19744369699 scopus 로고    scopus 로고
    • Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows. Part II: Multi-dimensional limiting process
    • K.H. Kim C. Kim Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows. Part II: Multi-dimensional limiting process J. Comput. Phys. 208 2 2005 570 615
    • (2005) J. Comput. Phys. , vol.208 , Issue.2 , pp. 570-615
    • Kim, K.H.1    Kim, C.2
  • 17
    • 2442433925 scopus 로고
    • Toward the ultimate conservative difference scheme
    • B. van Leer Toward the ultimate conservative difference scheme J. Comput. Phys. 32 1979 101 136
    • (1979) J. Comput. Phys. , vol.32 , pp. 101-136
    • van Leer, B.1
  • 18
    • 84966244348 scopus 로고
    • Multigrid solution of monotone second order discretizations of hypersonic conservations laws
    • S.P. Spekreijse Multigrid solution of monotone second order discretizations of hypersonic conservations laws Math. Comput. 49 1987 135 155
    • (1987) Math. Comput. , vol.49 , pp. 135-155
    • Spekreijse, S.P.1
  • 19
    • 85190074700 scopus 로고    scopus 로고
    • T.J. Barth, D. Jespersen, The design and application of upwind schemes on unstructured meshes, in: Proceedings of the 27th AIAA Aerospace Sciences Meeting, Reno, NV, 1989 (Paper AIAA 89-0366).
  • 20
    • 85190080725 scopus 로고    scopus 로고
    • T.J. Barth, P. Frederickson, Higher order solution of the Euler equations on unstructured grids using quadratic reconstruction, in: Proceedings of the 28th AIAA Aerospace Science Meeting, Reno, NV, 1990 (Paper AIAA 90-0013).
  • 21
    • 85190084539 scopus 로고    scopus 로고
    • Timothy Barth, Numerical methods for conservation laws on structured and unstructured meshes, VKI Lecture Series, 2003.
  • 22
    • 0040075637 scopus 로고
    • Convergence to steady state solutions of the Euler equations on unstructured grids with limiters
    • V. Venkatakrishnan Convergence to steady state solutions of the Euler equations on unstructured grids with limiters J. Comput. Phys. 118 1995 120 130
    • (1995) J. Comput. Phys. , vol.118 , pp. 120-130
    • Venkatakrishnan, V.1
  • 23
    • 0037146401 scopus 로고    scopus 로고
    • On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes
    • Jianxian Qiu Chi-Wang Shu On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes J. Comput. Phys. 183 2002 187 209
    • (2002) J. Comput. Phys. , vol.183 , pp. 187-209
    • Qiu, Jianxian1    Shu, Chi-Wang2
  • 24
    • 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
  • 25
    • 0037335298 scopus 로고    scopus 로고
    • Cures for the shock instability: development of a shock-stable Roe scheme
    • S. Kim C. Kim O.H. Rho S.K. Hong Cures for the shock instability: development of a shock-stable Roe scheme J. Comput. Phys. 185 2003 342 374
    • (2003) J. Comput. Phys. , vol.185 , pp. 342-374
    • Kim, S.1    Kim, C.2    Rho, O.H.3    Hong, S.K.4
  • 26
    • 19744378862 scopus 로고    scopus 로고
    • Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows. Part I: Spatial discretization
    • K.H. Kim C. Kim Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows. Part I: Spatial discretization J. Comput. Phys. 208 2 2005 527 569
    • (2005) J. Comput. Phys. , vol.208 , Issue.2 , pp. 527-569
    • Kim, K.H.1    Kim, C.2
  • 27
    • 0035923850 scopus 로고    scopus 로고
    • Methods for the accurate computations of hypersonic flows, Part I: AUSMPW+Scheme
    • K.H. Kim C. Kim O.H. Rho Methods for the accurate computations of hypersonic flows, Part I: AUSMPW + Scheme J. Comput. Phys. 174 2001 38 80
    • (2001) J. Comput. Phys. , vol.174 , pp. 38-80
    • Kim, K.H.1    Kim, C.2    Rho, O.H.3
  • 28
    • 0024070893 scopus 로고
    • Lower-upper symmetric-Gauss–Seidel method for the Euler and Navier–Stokes equations
    • S. Yoon A. Jameson Lower-upper symmetric-Gauss–Seidel method for the Euler and Navier–Stokes equations AIAA J. 26 9 1988 1025 1026
    • (1988) AIAA J. , vol.26 , Issue.9 , pp. 1025-1026
    • Yoon, S.1    Jameson, A.2
  • 29
    • 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 J. Comput. Phys. 54 1984 115 173
    • (1984) J. Comput. Phys. , vol.54 , pp. 115-173
    • Woodward, P.1    Colella, P.2
  • 30
    • 0000238594 scopus 로고    scopus 로고
    • High-resolution nonoscillatory central schemes with nonstaggered grids for hyperbolic conservation laws
    • G.-S. Jiang D. Levy C.-T. Lin S. Osher E. Tadmor High-resolution nonoscillatory central schemes with nonstaggered grids for hyperbolic conservation laws SIAM J. Numer. Anal. 35 6 1998 2147 2168
    • (1998) SIAM J. Numer. Anal. , vol.35 , Issue.6 , pp. 2147-2168
    • Jiang, G.-S.1    Levy, D.2    Lin, C.-T.3    Osher, S.4    Tadmor, E.5
  • 31
    • 85190086274 scopus 로고    scopus 로고
    • C.M. Hall, L.N. Long, High-order accurate simulations of wake and tip vortex flowfields, in: Proceedings of the 55th Annual Forum of American Helicopter Society, vol. 2, Alexandria, VA, May 1999.
  • 32
    • 0016058441 scopus 로고
    • Supersonic flow in the corner formed by two intersecting wedges
    • P. Kutler Supersonic flow in the corner formed by two intersecting wedges AIAA J. 12 5 1974 577 578
    • (1974) AIAA J. , vol.12 , Issue.5 , pp. 577-578
    • Kutler, P.1
  • 33
    • 0017552509 scopus 로고
    • Numerical solution of the Navier–Stokes equations for a three-dimensional corner
    • J.S. Shang W.L. Hangkey Numerical solution of the Navier–Stokes equations for a three-dimensional corner AIAA J. 15 11 1977 1575 1583
    • (1977) AIAA J. , vol.15 , Issue.11 , pp. 1575-1583
    • Shang, J.S.1    Hangkey, W.L.2
  • 34
    • 0018944756 scopus 로고
    • Supersonic, inviscid, conical corner flowfields
    • F. Marconi Supersonic, inviscid, conical corner flowfields AIAA J. 18 1 1980 78 84
    • (1980) AIAA J. , vol.18 , Issue.1 , pp. 78-84
    • Marconi, F.1
  • 35
    • 0027659020 scopus 로고
    • Vortical solutions in supersonic corner flows
    • R. Marsilio Vortical solutions in supersonic corner flows AIAA J. 31 9 1993 1651 1658
    • (1993) AIAA J. , vol.31 , Issue.9 , pp. 1651-1658
    • Marsilio, R.1
  • 36
    • 85190084062 scopus 로고    scopus 로고
    • Y.P. Goonko, A.N. Kudryavtsev, R.D. Rakhimov, Supersonic inviscid flows with three-dimensional interaction of shock waves in corners formed by intersecting wedges, in: Proceedings of the 11th International Conference on Methods of Aerophysical Research, Novosibirsk, Russia, 1–7 July 2002.
  • 37
    • 0034258009 scopus 로고    scopus 로고
    • Evaluation of TVD high resolution schemes for unsteady viscous shocked flows
    • V. Daru C. Tenaud Evaluation of TVD high resolution schemes for unsteady viscous shocked flows Comput. Fluids 30 2001 89 113
    • (2001) Comput. Fluids , vol.30 , pp. 89-113
    • Daru, V.1    Tenaud, C.2
  • 38
    • 0037429536 scopus 로고    scopus 로고
    • Grid convergence of high order methods for multiscale complex unsteady viscous compressible flows
    • B. Sjögreen H.C. Yee Grid convergence of high order methods for multiscale complex unsteady viscous compressible flows J. Comput. Phys. 185 2003 1 26
    • (2003) J. Comput. Phys. , vol.185 , pp. 1-26
    • Sjögreen, B.1    Yee, H.C.2


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