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Volumn 8, Issue 5, 2010, Pages 1264-1271

A hybrid numerical method to cure numerical shock instability

Author keywords

Carbuncle phenomenon; Godunov methods; Numerical shock instability

Indexed keywords


EID: 77958520231     PISSN: 18152406     EISSN: 19917120     Source Type: Journal    
DOI: 10.4208/cicp.041009.270410a     Document Type: Article
Times cited : (30)

References (14)
  • 1
    • 0000935266 scopus 로고
    • A finite differencemethod for computation of discontinuous solutions of the equations of fluid dynamics
    • S. K. Godunov, A finite differencemethod for computation of discontinuous solutions of the equations of fluid dynamics, Mat. Sb., 47 (1959), 271-306.
    • (1959) Mat. Sb. , vol.47 , pp. 271-306
    • Godunov, S.K.1
  • 2
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameter vector and difference schemes
    • P. L. Roe, Approximate Riemann solvers, parameter vector and difference schemes, J. Comput. Phys., 43 (1981), 357-372.
    • (1981) J. Comput. Phys. , vol.43 , pp. 357-372
    • Roe, P.L.1
  • 3
    • 0003122153 scopus 로고
    • Restoration of the contact surface in the HLL-Riemann solver
    • E. F. Toro,M. Spruce andW. Speares, Restoration of the contact surface in the HLL-Riemann solver, Shock Wave, 4 (1994), 25-34.
    • (1994) Shock Wave , vol.4 , pp. 25-34
    • Toro, E.F.1    Spruce, M.2    Speares, W.3
  • 4
    • 0028386735 scopus 로고
    • A contribution to the Great Riemann Solver Debate
    • J. Quirk, A contribution to the Great Riemann Solver Debate, Int. J. Numer. Meth. Fluid., 18 (1994), 555-574.
    • (1994) Int. J. Numer. Meth. Fluid. , vol.18 , pp. 555-574
    • Quirk, J.1
  • 5
    • 0345217310 scopus 로고
    • A new flux splitting scheme
    • M. S. Liou and C. J. Steffen, A new flux splitting scheme, J. Comput. Phys., 107 (1993), 23-39.
    • (1993) J. Comput. Phys. , vol.107 , pp. 23-39
    • Liou, M.S.1    Steffen, C.J.2
  • 6
    • 0001555608 scopus 로고    scopus 로고
    • Multidimensional dissipation for upwind schemes: Stability and applications to gas dynamics
    • R. Sanders, E. Morano and M. Druguet, Multidimensional dissipation for upwind schemes: stability and applications to gas dynamics, J. Comput. Phys., 145 (1998), 511-537.
    • (1998) J. Comput. Phys. , vol.145 , pp. 511-537
    • Sanders, R.1    Morano, E.2    Druguet, M.3
  • 7
    • 0034131244 scopus 로고    scopus 로고
    • Robustness versus accuracy in shock-wave computations
    • J. Gressier and J. M. Moschetta, Robustness versus accuracy in shock-wave computations, Int. J. Numer. Meth. Fluid., 33 (2000), 313-332.
    • (2000) Int. J. Numer. Meth. Fluid. , vol.33 , pp. 313-332
    • Gressier, J.1    Moschetta, J.M.2
  • 8
    • 0001477246 scopus 로고    scopus 로고
    • Numerical instabilities in upwind methods: Analysis and cures for the 'carbuncle' phenomenon
    • M. Pandolfi and D. D'Ambrosio, Numerical instabilities in upwind methods: analysis and cures for the 'carbuncle' phenomenon, J. Comput. Phys., 166 (2001), 271-301.
    • (2001) J. Comput. Phys. , vol.166 , pp. 271-301
    • Pandolfi, M.1    D'Ambrosio, D.2
  • 9
    • 0037335298 scopus 로고    scopus 로고
    • Cures for the shock instability: Development of a shock-stable Roe scheme
    • S. S. Kim, C. Kim, O. H. Rho and S. K. Hong, Cures for the shock instability: development of a shock-stable Roe scheme, J. Comput. Phys., 185 (2003), 342-374.
    • (2003) J. Comput. Phys. , vol.185 , pp. 342-374
    • Kim, S.S.1    Kim, C.2    Rho, O.H.3    Hong, S.K.4
  • 10
    • 0038266921 scopus 로고    scopus 로고
    • A robust shock-capturing scheme based on rotated Riemann solvers
    • Y. X. Ren, A robust shock-capturing scheme based on rotated Riemann solvers, Computers & Fluids, 32 (2003), 1379-1403.
    • (2003) Computers & Fluids , vol.32 , pp. 1379-1403
    • Ren, Y.X.1
  • 11
    • 38049003068 scopus 로고    scopus 로고
    • Very simple, carbuncle-Free, Boundary-Layer-Resolving, Rotated-Hybrid Riemann Solvers
    • H. Nishikawa and K. Kitamura, Very simple, carbuncle-Free, Boundary-Layer-Resolving, Rotated-Hybrid Riemann Solvers, J. Comput. Phys., 227 (2008), 2560-2581.
    • (2008) J. Comput. Phys. , vol.227 , pp. 2560-2581
    • Nishikawa, H.1    Kitamura, K.2
  • 12
    • 48749145227 scopus 로고
    • Self adjusting grid methods for one dimensional hyperbolic conservation laws
    • A. Harten and J. M. Hyman, Self adjusting grid methods for one dimensional hyperbolic conservation laws, J. Comput. Phys., 50 (1983), 235-269.
    • (1983) J. Comput. Phys. , vol.50 , pp. 235-269
    • Harten, A.1    Hyman, J.M.2
  • 13
    • 0000876320 scopus 로고
    • On upstream differencing and Godunov-type schemes for hyperbolic conservation laws
    • A. Harten, P. D. Lax and B. van Leer, On upstream differencing and Godunov-type schemes for hyperbolic conservation laws, SIAM Rev., 25 (1983), 35-61.
    • (1983) SIAM Rev. , vol.25 , pp. 35-61
    • Harten, A.1    Lax, P.D.2    Van Leer, B.3
  • 14
    • 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 (1984), 115-173.
    • (1984) J. Comput. Phys. , vol.54 , pp. 115-173
    • Woodward, P.1    Colella, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.