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Volumn 28, Issue 1, 1999, Pages 63-86

On the behaviour of upwind schemes in the low Mach number limit

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPRESSIBLE FLOW; COMPUTATIONAL FLUID DYNAMICS; EQUATIONS OF MOTION; TENSORS;

EID: 0344389046     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7930(98)00017-6     Document Type: Book
Times cited : (392)

References (14)
  • 1
    • 0000578716 scopus 로고
    • Semi-implicit extension of a Godunov-type scheme based on low Mach number asymptotics I: One-dimensional flow
    • Klein R. Semi-implicit extension of a Godunov-type scheme based on low Mach number asymptotics I: one-dimensional flow. Journal of Computational Physics. 121:1995;213-237.
    • (1995) Journal of Computational Physics , vol.121 , pp. 213-237
    • Klein, R.1
  • 3
    • 84980143584 scopus 로고
    • Problems with different time scales for partial differential equations
    • Kreiss H-O. Problems with different time scales for partial differential equations. Communications on Pure and Applied Mathematics. 33:1980;399-440.
    • (1980) Communications on Pure and Applied Mathematics , vol.33 , pp. 399-440
    • Kreiss, H.-O.1
  • 4
    • 0344403801 scopus 로고
    • Asymptotic expansions for hyperbolic problems with different time scales
    • Gustafsson B. Asymptotic expansions for hyperbolic problems with different time scales. SIAM Journal of Numerical Analysis. 17:1980;623-634.
    • (1980) SIAM Journal of Numerical Analysis , vol.17 , pp. 623-634
    • Gustafsson, B.1
  • 5
    • 0020167834 scopus 로고
    • Problems with different time scales for non-linear partial differential equations
    • Browning G, Kreiss H-O. Problems with different time scales for non-linear partial differential equations. SIAM Journal of Applied Mathematics. 42:1982;704-718.
    • (1982) SIAM Journal of Applied Mathematics , vol.42 , pp. 704-718
    • Browning, G.1    Kreiss, H.-O.2
  • 6
    • 0027187095 scopus 로고
    • Performance of compressible flow codes at low Mach number
    • Volpe G. Performance of compressible flow codes at low Mach number. AIAA Journal. 31:1993;49-56.
    • (1993) AIAA Journal , vol.31 , pp. 49-56
    • Volpe, G.1
  • 8
    • 0003057539 scopus 로고
    • Preconditioning and the limit of the compressible to the incompressible flow equations for finite difference schemes
    • In: Caughey DA, Hafez MM, editors. Wiley, Chichester
    • Turkel E, Fiterman A, van Leer B. Preconditioning and the limit of the compressible to the incompressible flow equations for finite difference schemes. In: Caughey DA, Hafez MM, editors. Frontiers of Computational Fluid Dynamics 1994. Wiley, Chichester, 1994:215-234.
    • (1994) Frontiers of Computational Fluid Dynamics 1994 , pp. 215-234
    • Turkel, E.1    Fiterman, A.2    Van Leer, B.3
  • 9
    • 45949116154 scopus 로고
    • Preconditioned methods for solving the incompressible and low speed compressible equations
    • Turkel E. Preconditioned methods for solving the incompressible and low speed compressible equations. Journal of Computational Physics. 72:1987;277-298.
    • (1987) Journal of Computational Physics , vol.72 , pp. 277-298
    • Turkel, E.1
  • 10
    • 44949266287 scopus 로고
    • Review of preconditioning methods for fluid dynamics
    • Turkel E. Review of preconditioning methods for fluid dynamics. Applied Numerical Mathematics. 12:1993;257-284.
    • (1993) Applied Numerical Mathematics , vol.12 , pp. 257-284
    • Turkel, E.1
  • 11
  • 12
    • 0031184629 scopus 로고    scopus 로고
    • Assessment of preconditioning methods for multidimensional aerodynamics
    • Turkel E, Radespiel R, Kroll N. Assessment of preconditioning methods for multidimensional aerodynamics. Computers and Fluids. 26:1997;613-634.
    • (1997) Computers and Fluids , vol.26 , pp. 613-634
    • Turkel, E.1    Radespiel, R.2    Kroll, N.3
  • 13
    • 0004014091 scopus 로고    scopus 로고
    • Implicit upwind schemes for low Mach number compressible flows
    • INRIA
    • Viozat C. Implicit upwind schemes for low Mach number compressible flows, Technical Report 3084. INRIA, 1997.
    • (1997) Technical Report , vol.3084
    • Viozat, C.1
  • 14
    • 0025839628 scopus 로고
    • An extension of Roe's upwind scheme to algebraic equilibrium real gas models
    • Abgrall R. An extension of Roe's upwind scheme to algebraic equilibrium real gas models. Computers and Fluids. 19:1991;171-182.
    • (1991) Computers and Fluids , vol.19 , pp. 171-182
    • Abgrall, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.