메뉴 건너뛰기




Volumn 148, Issue 1, 1999, Pages 59-80

Real Gas Computation Using an Energy Relaxation Method and High-Order WENO Schemes

Author keywords

Euler equations; Real gas; Weighted essentially nonoscillatory schemes

Indexed keywords

EULER EQUATIONS; GASES;

EID: 0001808601     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1998.6105     Document Type: Article
Times cited : (24)

References (23)
  • 1
    • 46549091298 scopus 로고
    • Efficient solution algorithms for the Riemann problem for real gases
    • P. Colella and H. M. Glaz, Efficient solution algorithms for the Riemann problem for real gases, J. Comput. Phys. 59, 264 (1985).
    • (1985) J. Comput. Phys. , vol.59 , pp. 264
    • Colella, P.1    Glaz, H.M.2
  • 2
    • 85190762988 scopus 로고    scopus 로고
    • Relaxation of energy and approximate Riemann solvers for general pressure laws in fluid dynamics equations
    • to appear
    • F. Coquel and B. Perthame, Relaxation of energy and approximate Riemann solvers for general pressure laws in fluid dynamics equations, SIAM J. Numer. Anal., to appear.
    • SIAM J. Numer. Anal.
    • Coquel, F.1    Perthame, B.2
  • 3
    • 0020767296 scopus 로고
    • An update on non-stationary oblique shock-wave reflections: Actual isopycnics and numerical experiments
    • R. L. Deschambault and I. I. Glass, An update on non-stationary oblique shock-wave reflections: Actual isopycnics and numerical experiments, J. Fluid Mech. 131, 27 (1983).
    • (1983) J. Fluid Mech. , vol.131 , pp. 27
    • Deschambault, R.L.1    Glass, I.I.2
  • 4
    • 0343742731 scopus 로고
    • An efficient numerical method for compressible flows of a real gas using arithmetic averaging
    • P. Glaister, An efficient numerical method for compressible flows of a real gas using arithmetic averaging, Comput. Math. Appl. 28, 97 (1994).
    • (1994) Comput. Math. Appl. , vol.28 , pp. 97
    • Glaister, P.1
  • 5
    • 0031069746 scopus 로고    scopus 로고
    • An analysis of averaging procedures in a Riemann solver for compressible flows of a real gas
    • P. Glaister, An analysis of averaging procedures in a Riemann solver for compressible flows of a real gas, Comput. Math. Appl. 33, 105 (1997).
    • (1997) Comput. Math. Appl. , vol.33 , pp. 105
    • Glaister, P.1
  • 7
    • 0024657343 scopus 로고
    • Analysis of flux-split algorithms for Euler's equations with real gases
    • B. Grossman and R. W. Walters, Analysis of flux-split algorithms for Euler's equations with real gases, AIAA J. 27, 524 (1989).
    • (1989) AIAA J. , vol.27 , pp. 524
    • Grossman, B.1    Walters, R.W.2
  • 8
  • 9
    • 85190756762 scopus 로고    scopus 로고
    • Numerical Evaluation of an Energy Relaxation Method for Inviscid Real Fluids
    • submitted for publication
    • A. In, Numerical Evaluation of an Energy Relaxation Method for Inviscid Real Fluids, EDF Research Report HT-13/97/032/A, submitted for publication.
    • EDF Research Report HT-13/97/032/A
    • In, A.1
  • 10
    • 0030161771 scopus 로고    scopus 로고
    • Efficient implementation of weighed ENO schemes
    • G.-S. Jiang and C.-W. Shu, Efficient implementation of weighed ENO schemes, J. Comput. Phys. 126, 202 (1996).
    • (1996) J. Comput. Phys. , vol.126 , pp. 202
    • Jiang, G.-S.1    Shu, C.-W.2
  • 11
    • 0002678318 scopus 로고
    • How to preserve the mass fractions positivity when computing compressible multi-component flows
    • B. Larrouturou, How to preserve the mass fractions positivity when computing compressible multi-component flows, J. Comput. Phys. 95, 59 (1991).
    • (1991) J. Comput. Phys. , vol.95 , pp. 59
    • Larrouturou, B.1
  • 12
    • 84980078953 scopus 로고
    • Weak solutions of non-linear hyperbolic equations and their numerical computations
    • P. D. Lax, Weak solutions of non-linear hyperbolic equations and their numerical computations, Commmun. Pure Appl. Math. 7, 159 (1954).
    • (1954) Commmun. Pure Appl. Math. , vol.7 , pp. 159
    • Lax, P.D.1
  • 14
    • 0000592595 scopus 로고
    • Weighed essentially non-oscillatory schemes
    • X.-D. Liu, S. Osher, and T. Chan, Weighed essentially non-oscillatory schemes, J. Comput. Phys. 115, 200 (1994).
    • (1994) J. Comput. Phys. , vol.115 , pp. 200
    • Liu, X.-D.1    Osher, S.2    Chan, T.3
  • 15
    • 85047671850 scopus 로고
    • Lagrangian solution of supersonic real gas flows
    • C.-Y. Loh and M. S. Liou, Lagrangian solution of supersonic real gas flows, J. Comput. Phys. 104, 150 (1993).
    • (1993) J. Comput. Phys. , vol.104 , pp. 150
    • Loh, C.-Y.1    Liou, M.S.2
  • 16
    • 0024748578 scopus 로고
    • Comparative study of high-resolution shock-capturing schemes for a real gas
    • J.-L. Montagné, H. C. Yee, and M. Vinokur, Comparative study of high-resolution shock-capturing schemes for a real gas, AIAA Journal, 27, 1332 (1989).
    • (1989) AIAA Journal , vol.27 , pp. 1332
    • Montagné, J.-L.1    Yee, H.C.2    Vinokur, M.3
  • 17
    • 0003208295 scopus 로고
    • Numerical evaluation of hypervelocity impact phenomena
    • edited by R. Kinslow Academic Press, New York, Chap. V
    • T. D. Riney, Numerical evaluation of hypervelocity impact phenomena, in High-Velocity Impact Phenomena, edited by R. Kinslow (Academic Press, New York, 1970), Chap. V, p. 158.
    • (1970) High-Velocity Impact Phenomena , pp. 158
    • Riney, T.D.1
  • 18
    • 45449125925 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock-capturing schemes
    • C.-W. Shu and S. Osher, Efficient implementation of essentially non-oscillatory shock-capturing schemes, J. Comput. Phys. 77, 439 (1988).
    • (1988) J. Comput. Phys. , vol.77 , pp. 439
    • Shu, C.-W.1    Osher, S.2
  • 19
    • 0001568854 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
    • C.-W. Shu and S. Osher, Efficient implementation of essentially non-oscillatory shock-capturing schemes, II, J. Comput. Phys. 83, 32 (1989).
    • (1989) J. Comput. Phys. , vol.83 , pp. 32
    • Shu, C.-W.1    Osher, S.2
  • 20
    • 0026627636 scopus 로고
    • High order ENO schemes applied to two-and three-dimensional compressible flow
    • C.-W. Shu, T. A. Zang, G. Erlebacher, D. Whitaker, and S. Osher, High order ENO schemes applied to two-and three-dimensional compressible flow, Appl. Numer. Math. 9, 45 (1992).
    • (1992) Appl. Numer. Math. , vol.9 , pp. 45
    • Shu, C.-W.1    Zang, T.A.2    Erlebacher, G.3    Whitaker, D.4    Osher, S.5
  • 21
    • 0000034725 scopus 로고    scopus 로고
    • Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws
    • edited by A. Quarteroni, Lecture Notes in Mathematics, CIME subseries (Springer-Verlag, New York/Berlin, to appear)
    • C.-W. Shu, Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws, in Advanced Numerical Approximation of Nonlinear Hyperbolic Equations, edited by A. Quarteroni, Lecture Notes in Mathematics, CIME subseries (Springer-Verlag, New York/Berlin, to appear).
    • Advanced Numerical Approximation of Nonlinear Hyperbolic Equations
    • Shu, C.-W.1
  • 22
    • 2942705023 scopus 로고
    • A survey of several finite difference methods for systems of non-linear hyperbolic conservation laws
    • G. Sod, A survey of several finite difference methods for systems of non-linear hyperbolic conservation laws, J. Comput. Phys. 27, 1 (1978).
    • (1978) J. Comput. Phys. , vol.27 , pp. 1
    • Sod, G.1
  • 23
    • 48749139407 scopus 로고
    • The numerical simulation of two-dimensional fluid flow with strong shocks
    • P. Woodward and P. Colella, The numerical simulation of two-dimensional fluid flow with strong shocks, J. Comput. Phys. 54, 125 (1984).
    • (1984) J. Comput. Phys. , vol.54 , pp. 125
    • Woodward, P.1    Colella, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.