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Volumn 150, Issue 1, 1999, Pages 199-238

Low-Dissipative High-Order Shock-Capturing Methods Using Characteristic-Based Filters

Author keywords

Compact schemes; Conservative differencing; ENO schemes; Explicit and implicit finite difference methods; High order; High order central differencings shock capturing methods; Low dissipation; Positive schemes; Shock turbulence interaction; TVD schemes

Indexed keywords

FINITE DIFFERENCE METHOD; TURBULENCE; VORTEX FLOW;

EID: 0001191538     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1998.6177     Document Type: Article
Times cited : (559)

References (56)
  • 4
    • 0000105935 scopus 로고
    • Fourth-order difference method for hyperbolic IBVPs
    • Gustafsson B., Olsson O. Fourth-order difference method for hyperbolic IBVPs. J. Compnt. Phys. 1177:1995;300.
    • (1995) J. Compnt. Phys. , vol.1177 , pp. 300
    • Gustafsson, B.1    Olsson, O.2
  • 5
    • 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
  • 6
    • 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
  • 7
    • 0021381876 scopus 로고
    • On a class of high resolution total-variation-stable finite-difference schemes
    • Harten A. On a class of high resolution total-variation-stable finite-difference schemes. SIAM J. Numer. Anal. 21:1984;1.
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 1
    • Harten, A.1
  • 9
    • 0007245319 scopus 로고
    • Construction of explicit and implicit symmetric TVD schemes and their applications
    • July 1985
    • H. C. Yee, Construction of explicit and implicit symmetric TVD schemes and their applications, J. Comput. Phys. 68, 151, 1987, July 1985.
    • (1987) J. Comput. Phys. , vol.68 , pp. 151
    • Yee, H.C.1
  • 10
    • 85190778833 scopus 로고
    • Explicit and implicit compact high-resolution shock-capturing methods for multidimensional Euler equations. I. Formulation
    • Yee H. C. Explicit and implicit compact high-resolution shock-capturing methods for multidimensional Euler equations. I. Formulation. J. Comput. Phys. 131:1995;216.
    • (1995) J. Comput. Phys. , vol.131 , pp. 216
    • Yee, H.C.1
  • 16
    • 0001568854 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
    • Shu S.-W. Efficient implementation of essentially non-oscillatory shock-capturing schemes, II. J. Comput. Phys. 83:1989;32.
    • (1989) J. Comput. Phys. , vol.83 , pp. 32
    • Shu, S.-W.1
  • 17
    • 0003102291 scopus 로고
    • Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
    • Hirsh R. S. Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique. J. Comput. Phys. 19:1975;90.
    • (1975) J. Comput. Phys. , vol.19 , pp. 90
    • Hirsh, R.S.1
  • 18
    • 84949795680 scopus 로고
    • Higher order compact implicit schemes for the wave equation
    • Ciment M., Leventhal H. Higher order compact implicit schemes for the wave equation. Math. Comp. 29:1975;985.
    • (1975) Math. Comp. , vol.29 , pp. 985
    • Ciment, M.1    Leventhal, H.2
  • 19
    • 9144220381 scopus 로고
    • Compact finite difference schemes with spectral-like resolution
    • Lele S. Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. 103:1992;16.
    • (1992) J. Comput. Phys. , vol.103 , pp. 16
    • Lele, S.1
  • 20
    • 84983113757 scopus 로고    scopus 로고
    • High-accuracy compact MacCormack-type schemes for computational aeroacoustics
    • Reno, NV, Jan. 12-15
    • R. Hixon, E. Turkel, High-accuracy compact MacCormack-type schemes for computational aeroacoustics, 36th Aerospace Sciences Meeting & Exhibit, Reno, NV, Jan. 12-15, 1998.
    • (1998) 36th Aerospace Sciences Meeting & Exhibit
    • Hixon, R.1    Turkel, E.2
  • 21
    • 84966234283 scopus 로고
    • Dissipative two-four methods for time dependent problems
    • Gottlieb D., Turkel E. Dissipative two-four methods for time dependent problems. Math. Comp. 30:1976;703.
    • (1976) Math. Comp. , vol.30 , pp. 703
    • Gottlieb, D.1    Turkel, E.2
  • 23
    • 0001518684 scopus 로고
    • On the construction and comparison of difference schemes
    • Strang G. On the construction and comparison of difference schemes. SIAM J. Numer. Anal. 5:1968;506.
    • (1968) SIAM J. Numer. Anal. , vol.5 , pp. 506
    • Strang, G.1
  • 25
    • 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
  • 26
    • 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
  • 29
    • 0002449864 scopus 로고
    • Summation by parts for finite difference approximations ford/dx
    • Strand B. Summation by parts for finite difference approximations ford/dx. J. Comput. Phys. 110:1994;47.
    • (1994) J. Comput. Phys. , vol.110 , pp. 47
    • Strand, B.1
  • 30
    • 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. 12A:1986;413.
    • (1986) Comput. Math. Appl. , vol.12 , pp. 413
    • Yee, H.C.1
  • 32
    • 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
  • 33
    • 0039862596 scopus 로고
    • High order shock capturing methods
    • HafezOshima, Wiley, New York, 233
    • B. Engquist, B. Sjogreen, High order shock capturing methods, CFD Reviews, HafezOshima, Wiley, New York, 1995, 210, 233.
    • (1995) CFD Reviews , pp. 210
    • Engquist, B.1    Sjogreen, B.2
  • 34
    • 0028446617 scopus 로고
    • Studies on error propagation for certain nonlinear approximations to hyperbolic equations: Discontinuities in derivatives
    • Donat R. Studies on error propagation for certain nonlinear approximations to hyperbolic equations: Discontinuities in derivatives. SIAM J. Numer. Anal. 31:1994;655.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 655
    • Donat, R.1
  • 37
    • 0021789097 scopus 로고
    • Implicit TVD schemes for hyperbolic conservation laws in curvilinear coordinates
    • Cincinnati, Ohio, July
    • H. C. Yee, A. Harten, Implicit TVD schemes for hyperbolic conservation laws in curvilinear coordinates, Proceedings of the AIAA 7th CFD Conference, Cincinnati, Ohio, July, 1985.
    • (1985) Proceedings of the AIAA 7th CFD Conference
    • Yee, H.C.1    Harten, A.2
  • 40
    • 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
  • 41
    • 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
  • 42
    • 0030188150 scopus 로고    scopus 로고
    • The effects of numerical viscosities. I. The slowly moving shocks
    • Jin S., Liu J.-G. The effects of numerical viscosities. I. The slowly moving shocks. J. Comput. Phys. 126:1996;373.
    • (1996) J. Comput. Phys. , vol.126 , pp. 373
    • Jin, S.1    Liu, J.-G.2
  • 43
    • 85190802456 scopus 로고
    • Semi-implicit and fully implicit shock-capturing methods for hyperbolic conservation laws with stiff source terms
    • June Hawaii
    • H. C. Yee, J. Shinn, Semi-implicit and fully implicit shock-capturing methods for hyperbolic conservation laws with stiff source terms, AIAA 8th CFD Conference, June 1987, Hawaii.
    • (1987) AIAA 8th CFD Conference
    • Yee, H.C.1    Shinn, J.2
  • 46
    • 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
  • 47
    • 0029407542 scopus 로고
    • Accuracy evaluation of unsteady CFD numerical schemes by vortex preservation
    • Davoudzadeh F., McDonald H., Thompson B. E. Accuracy evaluation of unsteady CFD numerical schemes by vortex preservation. Comput. Fluids. 24:1995;883.
    • (1995) Comput. Fluids , vol.24 , pp. 883
    • Davoudzadeh, F.1    McDonald, H.2    Thompson, B.E.3
  • 49
    • 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, 15th Intl. Conf. on Num. Meth. in Fluid Dynamics, Monterey, June 1996.
    • (1996) 15th Intl. Conf. on Num. Meth. in Fluid Dynamics
    • Lumpp, T.1
  • 50
    • 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
  • 54
    • 0029485071 scopus 로고
    • A numerical study of turbulent supersonic isothermal-wall channel flow
    • Coleman G. N., Kim J., Moser R. D. A numerical study of turbulent supersonic isothermal-wall channel flow. J. Fluid Mech. 305:1995;159.
    • (1995) J. Fluid Mech. , vol.305 , pp. 159
    • Coleman, G.N.1    Kim, J.2    Moser, R.D.3
  • 55
    • 0023155294 scopus 로고
    • Turbulence statistics in fully developed turbulent channel flow at low Reynolds number
    • Kim J., Moin P., Moser R. D. Turbulence statistics in fully developed turbulent channel flow at low Reynolds number. J. Fluid Mech. 177:1987;133.
    • (1987) J. Fluid Mech. , vol.177 , pp. 133
    • Kim, J.1    Moin, P.2    Moser, R.D.3
  • 56
    • 0002042719 scopus 로고    scopus 로고
    • Direct simulation of turbulence using massively parallel computers
    • D. R. Emerson, et al., Elsevier, Amsterdam/New York
    • N. D. Sandham, R. J. A. Howard, Direct simulation of turbulence using massively parallel computers, Parallel Computational Fluid Dynamics '97, D. R. Emerson, et al., Elsevier, Amsterdam/New York, 23, 1998.
    • (1998) Parallel Computational Fluid Dynamics '97 , pp. 23
    • Sandham, N.D.1    Howard, R.J.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.