메뉴 건너뛰기




Volumn 227, Issue 14, 2008, Pages 6985-7002

On sub-linear convergence for linearly degenerate waves in capturing schemes

Author keywords

Convergence rate; Discontinuity; Modified equations

Indexed keywords

ERRORS; NUMERICAL METHODS; SHOCK WAVES;

EID: 44649116373     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2008.04.002     Document Type: Article
Times cited : (95)

References (27)
  • 4
    • 0000762373 scopus 로고
    • Use of artificial viscosity in multidimensional fluid dynamic calculations
    • Wilkins M.L. Use of artificial viscosity in multidimensional fluid dynamic calculations. J. Comput. Phys. 36 (1980) 281-303
    • (1980) J. Comput. Phys. , vol.36 , pp. 281-303
    • Wilkins, M.L.1
  • 5
    • 0001840838 scopus 로고    scopus 로고
    • Formulations of artificial viscosity for multi-dimensional shock wave computations
    • Caramana E.J., Shashkov M.J., and Whalen P.P. Formulations of artificial viscosity for multi-dimensional shock wave computations. J. Comput. Phys. 144 (1998) 70-97
    • (1998) J. Comput. Phys. , vol.144 , pp. 70-97
    • Caramana, E.J.1    Shashkov, M.J.2    Whalen, P.P.3
  • 6
    • 0000142136 scopus 로고    scopus 로고
    • The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
    • Caramana E.J., Burton D.E., Shashkov M.J., and Whalen P.P. The construction of compatible hydrodynamics algorithms utilizing conservation of total energy. J. Comput. Phys. 146 (1998) 227-262
    • (1998) J. Comput. Phys. , vol.146 , pp. 227-262
    • Caramana, E.J.1    Burton, D.E.2    Shashkov, M.J.3    Whalen, P.P.4
  • 7
    • 85189836760 scopus 로고    scopus 로고
    • R. Anderson, N. Elliott, R. Pember, A dynamically adaptive arbitrary Lagrangian-Eulerian method for solution of the Euler equations, Tech. Rep. Research Report UCRL-JC-151904, Lawrence Livermore National Laboratory, 2003.
    • R. Anderson, N. Elliott, R. Pember, A dynamically adaptive arbitrary Lagrangian-Eulerian method for solution of the Euler equations, Tech. Rep. Research Report UCRL-JC-151904, Lawrence Livermore National Laboratory, 2003.
  • 9
    • 48749139407 scopus 로고
    • The numerical simulation of two-dimensional fluid flow with strong shocks
    • Woodward P., and Colella P. The numerical simulation of two-dimensional fluid flow with strong shocks. J. Comput. Phys. 54 (1984) 115-173
    • (1984) J. Comput. Phys. , vol.54 , pp. 115-173
    • Woodward, P.1    Colella, P.2
  • 10
    • 33749583060 scopus 로고
    • Flux-corrected transport. I. SHASTA a fluid transport algorithm that works
    • Boris J.P., and Book D.L. Flux-corrected transport. I. SHASTA a fluid transport algorithm that works. J. Comput. Phys. 11 (1973) 38-69
    • (1973) J. Comput. Phys. , vol.11 , pp. 38-69
    • Boris, J.P.1    Book, D.L.2
  • 11
    • 0000876320 scopus 로고
    • On upstream differencing and Godunov type schemes for hyperbolic conservation laws
    • Harten A., Lax P.D., and van Leer B. On upstream differencing and Godunov type schemes for hyperbolic conservation laws. SIAM Rev. 25 (1983) 33-61
    • (1983) SIAM Rev. , vol.25 , pp. 33-61
    • Harten, A.1    Lax, P.D.2    van Leer, B.3
  • 12
    • 33749725182 scopus 로고
    • Uniformly high order accurate essentially non-oscillatory schemes III
    • Harten A., Engquist B., Osher S., and Chakravarthy S. Uniformly high order accurate essentially non-oscillatory schemes III. J. Comput. Phys. 71 (1987) 231-303
    • (1987) J. Comput. Phys. , vol.71 , pp. 231-303
    • Harten, A.1    Engquist, B.2    Osher, S.3    Chakravarthy, S.4
  • 13
    • 48749141209 scopus 로고
    • Adaptive mesh refinement for hyperbolic partial differential equations
    • Berger M.J., and Oliger J. Adaptive mesh refinement for hyperbolic partial differential equations. J. Comput. Phys. 53 (1984) 484-512
    • (1984) J. Comput. Phys. , vol.53 , pp. 484-512
    • Berger, M.J.1    Oliger, J.2
  • 14
    • 0242299310 scopus 로고    scopus 로고
    • An adaptive numerical scheme for high-speed reactive flow on overlapping grids
    • Henshaw W.D., and Schwendeman D.W. An adaptive numerical scheme for high-speed reactive flow on overlapping grids. J. Comput. Phys. 191 2 (2003) 420-447
    • (2003) J. Comput. Phys. , vol.191 , Issue.2 , pp. 420-447
    • Henshaw, W.D.1    Schwendeman, D.W.2
  • 15
    • 0005729744 scopus 로고
    • The rate of convergence of some difference schemes
    • Hedstrom G.W. The rate of convergence of some difference schemes. J. SIAM Numer. Anal. 5 2 (1968) 363-406
    • (1968) J. SIAM Numer. Anal. , vol.5 , Issue.2 , pp. 363-406
    • Hedstrom, G.W.1
  • 16
    • 0015972002 scopus 로고
    • Local errors of difference approximations to hyperbolic equations
    • Orszag S.A., and Jayne L.W. Local errors of difference approximations to hyperbolic equations. J. Comput. Phys. 14 (1974) 93-103
    • (1974) J. Comput. Phys. , vol.14 , pp. 93-103
    • Orszag, S.A.1    Jayne, L.W.2
  • 17
    • 44649182197 scopus 로고
    • Note on the article local error of difference approximations to hyperbolic equations
    • Chin R.C.Y. Note on the article local error of difference approximations to hyperbolic equations. J. Comput. Phys. 16 (1974) 311-313
    • (1974) J. Comput. Phys. , vol.16 , pp. 311-313
    • Chin, R.C.Y.1
  • 18
    • 44649176446 scopus 로고
    • Dispersion and gibbs phenomenon associated with difference approximations to initial boundary-value problems to hyperbolic problems
    • Chin R.C.Y. Dispersion and gibbs phenomenon associated with difference approximations to initial boundary-value problems to hyperbolic problems. J. Comput. Phys. 18 (1975) 233-247
    • (1975) J. Comput. Phys. , vol.18 , pp. 233-247
    • Chin, R.C.Y.1
  • 19
    • 84980186129 scopus 로고
    • The artificial compression method for computation of shocks contact discontinuities. I. single conservation laws
    • Harten A. The artificial compression method for computation of shocks contact discontinuities. I. single conservation laws. Commun. Pure Appl. Math. 30 5 (1977) 611-638
    • (1977) Commun. Pure Appl. Math. , vol.30 , Issue.5 , pp. 611-638
    • Harten, A.1
  • 20
    • 0025448212 scopus 로고
    • Propagation of error into regions of smoothness for non-linear approximations to hyperbolic equations
    • Donat R., and Osher S. Propagation of error into regions of smoothness for non-linear approximations to hyperbolic equations. Comput. Methods Appl. Mech. 80 (1990) 59-64
    • (1990) Comput. Methods Appl. Mech. , vol.80 , pp. 59-64
    • Donat, R.1    Osher, S.2
  • 24
    • 33947148181 scopus 로고    scopus 로고
    • A high-resolution Godunov method for compressible multi-material flow on overlapping grids
    • Banks J.W., Schwendeman D.W., Kapila A.K., and Henshaw W.D. A high-resolution Godunov method for compressible multi-material flow on overlapping grids. J. Comput. Phys. 223 (2007) 262-297
    • (2007) J. Comput. Phys. , vol.223 , pp. 262-297
    • Banks, J.W.1    Schwendeman, D.W.2    Kapila, A.K.3    Henshaw, W.D.4
  • 25
    • 33749073525 scopus 로고    scopus 로고
    • Grinstein F.F., Margolin L., and Rider W.J. (Eds), Cambridge University Press, New York
    • In: Grinstein F.F., Margolin L., and Rider W.J. (Eds). Implicit Large Eddy Simulation: Computing Turbulent Fluid Flow (2007), Cambridge University Press, New York
    • (2007) Implicit Large Eddy Simulation: Computing Turbulent Fluid Flow
  • 26
    • 0021513424 scopus 로고
    • High resolution schemes using flux limiter for hyperbolic conservation laws
    • Sweby P.K. High resolution schemes using flux limiter for hyperbolic conservation laws. SIAM J. Numer. Anal. 21 (1984) 995-1011
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 995-1011
    • Sweby, P.K.1
  • 27
    • 85189837195 scopus 로고    scopus 로고
    • T.D. Aslam, J.B. Bdzil, Numerical and theoretical investigations on detonation-inert confinement interactions, in: The Twelfth Symposium (International) on Detonation, 2002, pp. 483-488.
    • T.D. Aslam, J.B. Bdzil, Numerical and theoretical investigations on detonation-inert confinement interactions, in: The Twelfth Symposium (International) on Detonation, 2002, pp. 483-488.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.