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Volumn 195, Issue 33-36, 2006, Pages 4473-4489

On the thermodynamics, stability and hierarchy of entropy functions in fluid flow

Author keywords

Fluid flow thermodynamics; Generalized entropy function; Hyperbolic systems; Stability; Symmetric systems

Indexed keywords

ENTROPY; FLOW OF FLUIDS; MATHEMATICAL MODELS; MATRIX ALGEBRA; NUMERICAL METHODS;

EID: 33646481071     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2005.09.010     Document Type: Article
Times cited : (8)

References (23)
  • 1
    • 0030199452 scopus 로고    scopus 로고
    • An entropy variable formulation and applications for the two-dimensional shallow water equations
    • Bova S.W., and Carey G.F. An entropy variable formulation and applications for the two-dimensional shallow water equations. Internat. J. Numer. Methods Fluids 24 (1996) 29-46
    • (1996) Internat. J. Numer. Methods Fluids , vol.24 , pp. 29-46
    • Bova, S.W.1    Carey, G.F.2
  • 2
    • 0001328952 scopus 로고
    • Symmetrization of conservation laws with entropy for high-temperature hypersonic computations
    • Chalot F., Hughes T.J.R., and Shakib F. Symmetrization of conservation laws with entropy for high-temperature hypersonic computations. Comput. Syst. Engrg. 1 (1990) 495-521
    • (1990) Comput. Syst. Engrg. , vol.1 , pp. 495-521
    • Chalot, F.1    Hughes, T.J.R.2    Shakib, F.3
  • 3
    • 0036535966 scopus 로고    scopus 로고
    • Hamiltonian and symmetric hyperbolic structures of shallow water magnetohydrodynamics
    • Dellar P.J. Hamiltonian and symmetric hyperbolic structures of shallow water magnetohydrodynamics. Phys. Plasmas 9 (2002) 1130-1136
    • (2002) Phys. Plasmas , vol.9 , pp. 1130-1136
    • Dellar, P.J.1
  • 4
    • 0001380483 scopus 로고
    • Systems of conservation equations with a convex extension
    • Friedrichs K.O., and Lax P.D. Systems of conservation equations with a convex extension. Proc. Nat. Acad. Sci. USA 68 (1971) 1686-1688
    • (1971) Proc. Nat. Acad. Sci. USA , vol.68 , pp. 1686-1688
    • Friedrichs, K.O.1    Lax, P.D.2
  • 5
    • 0001187980 scopus 로고
    • An interesting class of quasilinear systems
    • Godunov S.K. An interesting class of quasilinear systems. Sov. Math. 2 (1961)
    • (1961) Sov. Math. , vol.2
    • Godunov, S.K.1
  • 6
    • 0001395738 scopus 로고
    • The problem of a generalized solution in the theory of quasi-linear equations and in gas dynamics
    • Godunov S.K. The problem of a generalized solution in the theory of quasi-linear equations and in gas dynamics. Russ. Math. Surveys 17 (1962) 145-156
    • (1962) Russ. Math. Surveys , vol.17 , pp. 145-156
    • Godunov, S.K.1
  • 8
    • 0002229737 scopus 로고
    • On the symmetric form of systems of conservation laws with entropy
    • Harten A. On the symmetric form of systems of conservation laws with entropy. J. Comp. Phys. 49 (1983) 151-164
    • (1983) J. Comp. Phys. , vol.49 , pp. 151-164
    • Harten, A.1
  • 9
    • 13244273475 scopus 로고    scopus 로고
    • A segregated method for compressible flow computation. Part I: Isothermal compressible flows
    • Hauke G., Landaberea A., Garmendia I., and Canales J. A segregated method for compressible flow computation. Part I: Isothermal compressible flows. Internat. J. Numer. Methods Fluids 47 (2005) 271-323
    • (2005) Internat. J. Numer. Methods Fluids , vol.47 , pp. 271-323
    • Hauke, G.1    Landaberea, A.2    Garmendia, I.3    Canales, J.4
  • 10
    • 0028389044 scopus 로고
    • A unified approach to compressible and incompressible flows
    • Hauke G., and Hughes T.J.R. A unified approach to compressible and incompressible flows. Comput. Methods Appl. Mech. Engrg. 113 (1994) 389-395
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.113 , pp. 389-395
    • Hauke, G.1    Hughes, T.J.R.2
  • 11
    • 0031926098 scopus 로고    scopus 로고
    • A comparative study of different sets of variables for solving compressible and incompressible flows
    • Hauke G., and Hughes T.J.R. A comparative study of different sets of variables for solving compressible and incompressible flows. Comput. Methods Appl. Mech. Engrg. 153 (1998) 1-44
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.153 , pp. 1-44
    • Hauke, G.1    Hughes, T.J.R.2
  • 12
    • 0032556080 scopus 로고    scopus 로고
    • A symmetric formulation for computing transient shallow water flows
    • Hauke G. A symmetric formulation for computing transient shallow water flows. Comput. Methods Appl. Mech. Engrg. 163 (1998) 111-122
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.163 , pp. 111-122
    • Hauke, G.1
  • 13
    • 0037051875 scopus 로고    scopus 로고
    • A stabilized finite element method for the Saint-Venant equations with application to irrigation
    • Hauke G. A stabilized finite element method for the Saint-Venant equations with application to irrigation. Internat. J. Numer. Methods Fluids 38 (2002) 963-984
    • (2002) Internat. J. Numer. Methods Fluids , vol.38 , pp. 963-984
    • Hauke, G.1
  • 14
    • 0022663140 scopus 로고
    • A new finite element formulation for computational fluid dynamics: I. Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
    • Hughes T.J.R., Franca L.P., and Mallet M. A new finite element formulation for computational fluid dynamics: I. Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics. Comput. Methods Appl. Mech. Engrg. 54 (1986) 223-234
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.54 , pp. 223-234
    • Hughes, T.J.R.1    Franca, L.P.2    Mallet, M.3
  • 15
    • 34250446889 scopus 로고
    • Method of Lagrange multipliers for exploitation of the entropy principle
    • Liu I.-S. Method of Lagrange multipliers for exploitation of the entropy principle. Arch. Rat. Mech. Anal. 46 (1972)
    • (1972) Arch. Rat. Mech. Anal. , vol.46
    • Liu, I.-S.1
  • 16
    • 0020943939 scopus 로고
    • Extended thermodynamics of classical and degenerate gases
    • Liu I.-S., and Müller I. Extended thermodynamics of classical and degenerate gases. Arch. Rat. Mech. Anal. 83 (1983)
    • (1983) Arch. Rat. Mech. Anal. , vol.83
    • Liu, I.-S.1    Müller, I.2
  • 18
    • 85025747384 scopus 로고
    • Systems of conservation laws of mixed type
    • Mock M. Systems of conservation laws of mixed type. J. Differential Equations 37 (1980) 70-88
    • (1980) J. Differential Equations , vol.37 , pp. 70-88
    • Mock, M.1
  • 19
    • 33646477937 scopus 로고    scopus 로고
    • I. Müller, T. Ruggeri, Rational extended thermodynamics, Springer Tracts in Natural Philosophy 37, Springer Verlag, 1998.
  • 21
    • 0001821191 scopus 로고
    • Main field and convex covariant density for quasi-linear hyperbolic systems. Relativistic fluid dynamics
    • Ruggeri T., and Struminia A. Main field and convex covariant density for quasi-linear hyperbolic systems. Relativistic fluid dynamics. Ann. Ins. H. Poincare 34A (1981)
    • (1981) Ann. Ins. H. Poincare , vol.34 A
    • Ruggeri, T.1    Struminia, A.2
  • 22
    • 0021506082 scopus 로고
    • Skew-selfadjoint form for systems of conservation laws
    • Tadmor E. Skew-selfadjoint form for systems of conservation laws. J. Math. Anal. Appl. 103 (1984) 428-442
    • (1984) J. Math. Anal. Appl. , vol.103 , pp. 428-442
    • Tadmor, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.