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Volumn 60, Issue 1, 1999, Pages 256-271

Asymptotic single and multiple scale expansions in the low Mach number limit

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTER SIMULATION; MATHEMATICAL MODELS;

EID: 0343193151     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139998343198     Document Type: Article
Times cited : (55)

References (17)
  • 1
    • 0012281253 scopus 로고
    • On the incompressible limit of the compressible Euler equations
    • K. ASANO, On the incompressible limit of the compressible Euler equations, Japan J. Appl. Math., 4 (1987), pp. 455-488.
    • (1987) Japan J. Appl. Math. , vol.4 , pp. 455-488
    • Asano, K.1
  • 2
    • 0017461364 scopus 로고
    • The transition from slow burning to detonation
    • F. BARTLMÄ, The transition from slow burning to detonation, Acta Astronautica, 6 (1979), pp. 435-447.
    • (1979) Acta Astronautica , vol.6 , pp. 435-447
    • Bartlmä, F.1
  • 4
    • 0342270757 scopus 로고    scopus 로고
    • Multiple pressure variable (MPV) approach for low mach number flows based on asymptotic analysis
    • E. H. Hirschel, ed., Vieweg, Braunschweig
    • K. GERATZRM, R. KLEIN, C. D. MUNZ, AND S. ROLLER, Multiple pressure variable (MPV) approach for low mach number flows based on asymptotic analysis, in Flow Simulation with High Performance Computers II, Notes Numer. Fluid Mech. 52, E. H. Hirschel, ed., Vieweg, Braunschweig, 1996, pp. 340-354.
    • (1996) Flow Simulation with High Performance Computers II, Notes Numer. Fluid Mech. , vol.52 , pp. 340-354
    • Geratzrm, K.1    Klein, R.2    Munz, C.D.3    Roller, S.4
  • 6
    • 0343140269 scopus 로고    scopus 로고
    • A numerical scheme for low mach number flow based on asymptotic analysis with time-dependent adaptation of the asymptotic sequence
    • C. Hirsch et al., eds., Athens
    • L. HOFFMANN AND A. MEISTER, A numerical scheme for low mach number flow based on asymptotic analysis with time-dependent adaptation of the asymptotic sequence, in Proceedings of the Fourth ECCOMAS Computational Fluid Dynamics Conference, Vol. 1, C. Hirsch et al., eds., Athens, 1998, pp. 567-572.
    • (1998) Proceedings of the Fourth ECCOMAS Computational Fluid Dynamics Conference , vol.1 , pp. 567-572
    • Hoffmann, L.1    Meister, A.2
  • 7
    • 0003485644 scopus 로고    scopus 로고
    • Multiple Scale and Singular Pertubation Methods
    • Springer, New York, Berlin, Heidelberg
    • J. KEVORKIAN AND J. D. COLE, Multiple Scale and Singular Pertubation Methods, Appl. Math. Sci. 114, Springer, New York, Berlin, Heidelberg, 1996.
    • (1996) Appl. Math. Sci. , vol.114
    • Kevorkian, J.1    Cole, J.D.2
  • 8
    • 84980156074 scopus 로고
    • Singular limits of quasilinear hyperbolic system with large parameters and the incompressible limit of compressible fluids
    • S. KLAINERMAN AND A. MAJDA, Singular limits of quasilinear hyperbolic system with large parameters and the incompressible limit of compressible fluids, Comm. Pure Appl. Math., 34 (1981), pp. 481-524.
    • (1981) Comm. Pure Appl. Math. , vol.34 , pp. 481-524
    • Klainerman, S.1    Majda, A.2
  • 9
    • 84990557419 scopus 로고
    • Compressible and incompressible fluids
    • S. KLAINERMAN AND A. MAJDA, Compressible and incompressible fluids, Comm. Pure Appl. Math., 35 (1982), pp. 629-651.
    • (1982) Comm. Pure Appl. Math. , vol.35 , pp. 629-651
    • Klainerman, S.1    Majda, A.2
  • 10
    • 0000578716 scopus 로고
    • Semi-implicit extension of a Godunov-type scheme based on low mach number asymptotics I: One-dimensional flow
    • R. KLEIN, Semi-implicit extension of a Godunov-type scheme based on low mach number asymptotics I: One-dimensional flow, J. Comput. Phys., 121 (1995), pp. 213-237.
    • (1995) J. Comput. Phys. , vol.121 , pp. 213-237
    • Klein, R.1
  • 12
    • 0019260746 scopus 로고
    • The mechanism of transition from deflagration to detonation in vapor cloud explosions
    • J. H. S. LEE AND I. O. MOEN, The mechanism of transition from deflagration to detonation in vapor cloud explosions, Progr. Energy Combust. Sci., 6 (1980), pp. 359-389.
    • (1980) Progr. Energy Combust. Sci. , vol.6 , pp. 359-389
    • Lee, J.H.S.1    Moen, I.O.2
  • 13
    • 84948505075 scopus 로고
    • The derivation and numerical solution of the equations for zero Mach number combustion
    • A. MAJDA AND J. SETHIAN, The derivation and numerical solution of the equations for zero Mach number combustion, Combust. Sci. Tech., 42 (1985), pp. 185-205.
    • (1985) Combust. Sci. Tech. , vol.42 , pp. 185-205
    • Majda, A.1    Sethian, J.2
  • 14
    • 0020208904 scopus 로고
    • Flames as gasdynamic discontinuities
    • M. MATALON AND B. J. MATKOWSKY, Flames as gasdynamic discontinuities, J. Fluid Mech., 124 (1982), pp. 239-259.
    • (1982) J. Fluid Mech. , vol.124 , pp. 239-259
    • Matalon, M.1    Matkowsky, B.J.2
  • 15
    • 0343576015 scopus 로고    scopus 로고
    • Preprint, Hamburger Beiträge zur Angewandten Mathematik, Reihe F, Computational Fluid Dynamics and Data Analysis 1, University of Hamburg, Hamburg, Germany
    • A. MEISTER, Zur mathematischen Fundierung einer Mehrskalenanalyse der Euler-Gleichungen, Preprint, Hamburger Beiträge zur Angewandten Mathematik, Reihe F, Computational Fluid Dynamics and Data Analysis 1, University of Hamburg, Hamburg, Germany, 1997.
    • (1997) Zur Mathematischen Fundierung Einer Mehrskalenanalyse der Euler-Gleichungen
    • Meister, A.1
  • 17
    • 0000570341 scopus 로고
    • The incompressible limit and the initial layer of the compressible Euler equations
    • S. UKAI, The incompressible limit and the initial layer of the compressible Euler equations, J. Math. Kyoto Univ., 26 (1986), pp. 323-331.
    • (1986) J. Math. Kyoto Univ. , vol.26 , pp. 323-331
    • Ukai, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.