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Volumn 162, Issue 1, 2000, Pages 33-81

Entropy Splitting and Numerical Dissipation

Author keywords

Compact schemes; Conservative differencing; Entropy variables; High order central differencings; High order methods; Low dissipation; Nonlinear filters; Shock capturing methods; Symmetrizable nonlinear conservation laws; Thermally perfect gas; TVD schemes

Indexed keywords

AEROACOUSTICS; BANDPASS FILTERS; COMPUTATIONAL FLUID DYNAMICS; EULER EQUATIONS; INITIAL VALUE PROBLEMS; NASA; NONLINEAR EQUATIONS; NUMERICAL METHODS; PHYSICAL PROPERTIES; STABILITY; TURBULENCE; TWO PHASE FLOW;

EID: 0013464370     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2000.6517     Document Type: Article
Times cited : (150)

References (52)
  • 2
    • 0002449864 scopus 로고
    • Summation by parts for finite difference approximations for d/dx
    • Strand B. Summation by parts for finite difference approximations for d/dx. J. Comput. Phys. 110:1994;47.
    • (1994) J. Comput. Phys. , vol.110 , pp. 47
    • Strand, B.1
  • 3
    • 84968507702 scopus 로고
    • Summation by parts, projections and stability
    • Olsson P. Summation by parts, projections and stability. Math. Comp. 64:1995;1035.
    • (1995) Math. Comp. , vol.64 , pp. 1035
    • Olsson, P.1
  • 4
    • 0000105935 scopus 로고
    • Fourth-order difference method for hyperbolic IBVPs
    • Gustafsson B., Olsson P. Fourth-order difference method for hyperbolic IBVPs. J. Comput. Phys. 1177:1995;300.
    • (1995) J. Comput. Phys. , vol.1177 , pp. 300
    • Gustafsson, B.1    Olsson, P.2
  • 6
    • 84964442545 scopus 로고
    • Summation by parts, projections and stability, II
    • Olsson P. Summation by parts, projections and stability, II. Math. Comp. 64:1995;212.
    • (1995) Math. Comp. , vol.64 , pp. 212
    • Olsson, P.1
  • 9
    • 0030525005 scopus 로고    scopus 로고
    • Designing an efficient solution strategy for fluid flows. I. A stable high order finite difference scheme and sharp shock resolution for the Euler equations
    • Gerritsen M., Olsson P. Designing an efficient solution strategy for fluid flows. I. A stable high order finite difference scheme and sharp shock resolution for the Euler equations. J. Comput. Phys. 129:1996;245.
    • (1996) J. Comput. Phys. , vol.129 , pp. 245
    • Gerritsen, M.1    Olsson, P.2
  • 12
    • 49049151571 scopus 로고
    • Flux vector splitting of inviscid gas dynamics equations with applications to finite difference methods
    • Steger J. L., Warming R. F. Flux vector splitting of inviscid gas dynamics equations with applications to finite difference methods. J. Comput. Phys. 40:1981;263.
    • (1981) J. Comput. Phys. , vol.40 , pp. 263
    • Steger, J.L.1    Warming, R.F.2
  • 13
    • 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 R. J. R., Franca L. P., 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. Eng. 54:1986;223.
    • (1986) Comput. Methods Appl. Mech. Eng. , vol.54 , pp. 223
    • Hughes, R.J.R.1    Franca, L.P.2    Mallet, M.3
  • 16
    • 84966219074 scopus 로고
    • The artificial compression method for computation of shocks and contact discontinuities. III. Self-adjusting hybrid schemes
    • Harten A. The artificial compression method for computation of shocks and contact discontinuities. III. Self-adjusting hybrid schemes. Math. Comp. 32:1978;363.
    • (1978) Math. Comp. , vol.32 , pp. 363
    • Harten, A.1
  • 28
    • 0022693323 scopus 로고
    • Linearized form of implicit TVD schemes for multidimensional Euler and Navier-Stokes equations
    • Yee H. C. Linearized form of implicit TVD schemes for multidimensional Euler and Navier-Stokes equations. Comput. Math. Appl. A. 12:1986;413.
    • (1986) Comput. Math. Appl. a , vol.12 , pp. 413
    • Yee, H.C.1
  • 29
    • 0007245319 scopus 로고
    • Construction of explicit and implicit symmetric TVD schemes and their applications
    • Yee H. C. Construction of explicit and implicit symmetric TVD schemes and their applications. J. Comput. Phys. 68:1987;151.
    • (1987) J. Comput. Phys. , vol.68 , pp. 151
    • Yee, H.C.1
  • 31
    • 28144443157 scopus 로고
    • High-resolution shock-capturing schemes for inviscid and viscous hypersonic flows
    • Yee H. C., Klopfer G. H., Montagne J.-L. High-resolution shock-capturing schemes for inviscid and viscous hypersonic flows. J. Comput. Phys. 88:1990;31.
    • (1990) J. Comput. Phys. , vol.88 , pp. 31
    • Yee, H.C.1    Klopfer, G.H.2    Montagne, J.-L.3
  • 32
    • 0000866573 scopus 로고
    • A high resolution scheme for computation of weak solutions of hyperbolic conservation laws
    • Harten A. A high resolution scheme for computation of weak solutions of hyperbolic conservation laws. J. Comput. Phys. 49:1983;35.
    • (1983) J. Comput. Phys. , vol.49 , pp. 35
    • Harten, A.1
  • 33
    • 49549134229 scopus 로고
    • An implicit finite-difference algorithm for hyperbolic systems in conservation law form
    • Beam R. M., Warming R. F. An implicit finite-difference algorithm for hyperbolic systems in conservation law form. J. Comput. Phys. 22:1976;87.
    • (1976) J. Comput. Phys. , vol.22 , pp. 87
    • Beam, R.M.1    Warming, R.F.2
  • 35
    • 0000989874 scopus 로고
    • Implicit filtering in conjunction with explicit filtering
    • Alpert P. Implicit filtering in conjunction with explicit filtering. J. Comput. Phys. 44:1981;212.
    • (1981) J. Comput. Phys. , vol.44 , pp. 212
    • Alpert, P.1
  • 36
    • 9144220381 scopus 로고
    • Compact finite difference schemes with spectral-like resolution
    • Lele S. A. Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. 103:1992;16.
    • (1992) J. Comput. Phys. , vol.103 , pp. 16
    • Lele, S.A.1
  • 39
    • 0002115991 scopus 로고
    • An analysis of finite-difference and finite-volume formulations of conservation laws
    • Vinokur M. An analysis of finite-difference and finite-volume formulations of conservation laws. J. Comput. Phys. 81:1989;1.
    • (1989) J. Comput. Phys. , vol.81 , pp. 1
    • Vinokur, M.1
  • 40
    • 0346235248 scopus 로고
    • Extension of Roe's approximate Riemann solver to equilibrium and nonequilibrium flows
    • Abgrall R. Extension of Roe's approximate Riemann solver to equilibrium and nonequilibrium flows. Notes Numer. Fluid Mech. 29:1990;1.
    • (1990) Notes Numer. Fluid Mech. , vol.29 , pp. 1
    • Abgrall, R.1
  • 41
    • 85190088207 scopus 로고
    • Derivation of a Roe scheme for an N-species chemically reacting gas in thermal equilibrium
    • Spekreijse R., Hagmeijer R. Derivation of a Roe scheme for an N-species chemically reacting gas in thermal equilibrium. Notes Numer. Fluid Mech. 29:1989;522.
    • (1989) Notes Numer. Fluid Mech. , vol.29 , pp. 522
    • Spekreijse, R.1    Hagmeijer, R.2
  • 42
    • 0001328952 scopus 로고
    • Symmetrization of conservation laws with entropy for high-temperature hypersonic computations
    • Chalot F., Hughes T. J. R., Shakib F. Symmetrization of conservation laws with entropy for high-temperature hypersonic computations. Comput. Systems Eng. 1:1990;465.
    • (1990) Comput. Systems Eng. , vol.1 , pp. 465
    • Chalot, F.1    Hughes, T.J.R.2    Shakib, F.3
  • 43
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameter vectors, and difference schemes
    • Roe P. L. Approximate Riemann solvers, parameter vectors, and difference schemes. J. Comput. Phys. 43:1981;357.
    • (1981) J. Comput. Phys. , vol.43 , pp. 357
    • Roe, P.L.1
  • 44
    • 0001186440 scopus 로고
    • The theoretical accuracy of Runge-Kutta time discretizations for initial value problem: A study of the boundary error
    • Carpenter M. H., Gottlieb D., Abarbanel S., Don W.-S. The theoretical accuracy of Runge-Kutta time discretizations for initial value problem: A study of the boundary error. SIAM J. Sci. Comput. 16:1995;1241.
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 1241
    • Carpenter, M.H.1    Gottlieb, D.2    Abarbanel, S.3    Don, W.-S.4
  • 45
    • 48749145227 scopus 로고
    • A self-adjusting grid for the computation of weak solutions of hyperbolic conservation laws
    • Harten A., Hyman J. M. A self-adjusting grid for the computation of weak solutions of hyperbolic conservation laws. J. Comput. Phys. 50:1983;235.
    • (1983) J. Comput. Phys. , vol.50 , pp. 235
    • Harten, A.1    Hyman, J.M.2
  • 47
    • 0346235247 scopus 로고    scopus 로고
    • Compressible mixing layer computations with high-order ENO schemes
    • Monterey, June
    • T. Lumpp, Compressible mixing layer computations with high-order ENO schemes, in, 15th Intl. Conf. on Num. Meth. in Fluid Dynamics, Monterey, June 1996.
    • (1996) In, 15th Intl. Conf. on Num. Meth. in Fluid Dynamics
    • Lumpp, T.1
  • 48
    • 0031161230 scopus 로고    scopus 로고
    • A high order accurate difference scheme for complex flow fields
    • Fu D., Ma Y. A high order accurate difference scheme for complex flow fields. J. Comput. Phys. 134:1997;1.
    • (1997) J. Comput. Phys. , vol.134 , pp. 1
    • Fu, D.1    Ma, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.