메뉴 건너뛰기




Volumn 227, Issue 5, 2008, Pages 2977-3014

A central WENO scheme for solving hyperbolic conservation laws on non-uniform meshes

Author keywords

Central WENO interpolation; Hyperbolic systems; Non linear aeroacoustics; Non uniform meshes; Two dimensional Riemann problem

Indexed keywords

ACOUSTIC FIELDS; FINITE VOLUME METHOD; POLYNOMIALS; RUNGE KUTTA METHODS;

EID: 38549180538     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2007.11.029     Document Type: Article
Times cited : (128)

References (22)
  • 1
    • 33749725182 scopus 로고
    • Uniformly high-order essentially non-oscillatory schemes, III
    • Harten A., Engquist B., Osher S., and Chakravarthy S. Uniformly high-order 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
  • 2
    • 0000034725 scopus 로고    scopus 로고
    • Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws
    • Quarteroni (Ed), Springer, Berlin
    • Shu C.-W. Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws. In: Quarteroni (Ed). Lecture Notes in Mathematics (1997), Springer, Berlin
    • (1997) Lecture Notes in Mathematics
    • Shu, C.-W.1
  • 3
    • 0036151484 scopus 로고    scopus 로고
    • A technique of treating negative weights in WENO schemes
    • Shi J., Hu C., and Shu C.W. A technique of treating negative weights in WENO schemes. J. Comput. Phys. 175 (2002) 108-127
    • (2002) J. Comput. Phys. , vol.175 , pp. 108-127
    • Shi, J.1    Hu, C.2    Shu, C.W.3
  • 4
    • 0003140474 scopus 로고    scopus 로고
    • Weighted essentially non-oscillatory schemes on triangular meshes
    • Hu C., and Shu C.W. Weighted essentially non-oscillatory schemes on triangular meshes. J. Comput. Phys. 150 (1999) 97-127
    • (1999) J. Comput. Phys. , vol.150 , pp. 97-127
    • Hu, C.1    Shu, C.W.2
  • 5
    • 33846336138 scopus 로고    scopus 로고
    • Arbitrary high-order non-oscillatory finite volume schemes on unstructured meshes
    • 10.1016/j.jcp.2006.06.043
    • Dumbser M., and Käser M. Arbitrary high-order non-oscillatory finite volume schemes on unstructured meshes. J. Comput. Phys. (2006) 10.1016/j.jcp.2006.06.043
    • (2006) J. Comput. Phys.
    • Dumbser, M.1    Käser, M.2
  • 6
    • 18844441718 scopus 로고    scopus 로고
    • Mapped weighted essentially non-oscillatory schemes: achieving optimal order near critical points
    • Henrick A.K., Aslam T.D., and Powers J.M. Mapped weighted essentially non-oscillatory schemes: achieving optimal order near critical points. J. Comput. Phys. 207 (2005) 542-567
    • (2005) J. Comput. Phys. , vol.207 , pp. 542-567
    • Henrick, A.K.1    Aslam, T.D.2    Powers, J.M.3
  • 7
    • 0000660075 scopus 로고    scopus 로고
    • Simplified discretization of systems of hyperbolic conservation laws containing advection equations
    • Fedkiw R. Simplified discretization of systems of hyperbolic conservation laws containing advection equations. J. Comput. Phys. 157 (2000) 302-326
    • (2000) J. Comput. Phys. , vol.157 , pp. 302-326
    • Fedkiw, R.1
  • 8
    • 0035075926 scopus 로고    scopus 로고
    • Compact central WENO schemes for multidimensional conservation laws
    • Levy D., Pupo G., and Russo G. Compact central WENO schemes for multidimensional conservation laws. SIAM J. Sci. Comput. 22 (2000) 656-672
    • (2000) SIAM J. Sci. Comput. , vol.22 , pp. 656-672
    • Levy, D.1    Pupo, G.2    Russo, G.3
  • 9
    • 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) 35
    • (1983) SIAM Rev. , vol.25 , pp. 35
    • Harten, A.1    Lax, P.D.2    Van-Leer, B.3
  • 11
    • 0000715330 scopus 로고    scopus 로고
    • Computational considerations for the simulation of shock-induced sound
    • Casper J., and Carpenter M.H. Computational considerations for the simulation of shock-induced sound. SIAM Sci. Comput. 19 (1998) 813-828
    • (1998) SIAM Sci. Comput. , vol.19 , pp. 813-828
    • Casper, J.1    Carpenter, M.H.2
  • 12
    • 0344154580 scopus 로고    scopus 로고
    • A characteristic-wise hybrid compact WENO scheme for solving hyperbolic conservation laws
    • Ren Y.-X., Liu M., and Zhang H. A characteristic-wise hybrid compact WENO scheme for solving hyperbolic conservation laws. J. Comput. Phys. 192 (2003) 365-386
    • (2003) J. Comput. Phys. , vol.192 , pp. 365-386
    • Ren, Y.-X.1    Liu, M.2    Zhang, H.3
  • 13
    • 0014348908 scopus 로고
    • Interaction of linear waves with oblique shock waves
    • McKenzie J., and Westphal K. Interaction of linear waves with oblique shock waves. Phys. Fluids 11 (1968) 2350-2362
    • (1968) Phys. Fluids , vol.11 , pp. 2350-2362
    • McKenzie, J.1    Westphal, K.2
  • 14
    • 0021200092 scopus 로고
    • Numerical computations of turbulence amplification in shock wave interactions
    • Zang T.A., Hussaini M.Y., and Bushnell D.M. Numerical computations of turbulence amplification in shock wave interactions. AIAA J. 22 (1984) 13-21
    • (1984) AIAA J. , vol.22 , pp. 13-21
    • Zang, T.A.1    Hussaini, M.Y.2    Bushnell, D.M.3
  • 15
    • 45449125925 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock-capturing schemes
    • Shu C.-W., and Osher S. Efficient implementation of essentially non-oscillatory shock-capturing schemes. J. Comput. Phys. 77 (1988) 439-471
    • (1988) J. Comput. Phys. , vol.77 , pp. 439-471
    • Shu, C.-W.1    Osher, S.2
  • 16
    • 85190792118 scopus 로고    scopus 로고
    • Third Computational Aeroacoustics Workshop on Benchmark Problems, NASA/CP-2000-209790.
  • 17
    • 0003332686 scopus 로고
    • Numerical solution of the Riemann problem for two-dimensional gas dynamics
    • Schulz-Rinne C.W., Collins J.P., and Glaz H.M. Numerical solution of the Riemann problem for two-dimensional gas dynamics. SIAM J. Sci. Comput. 14 6 (1993) 1394-1414
    • (1993) SIAM J. Sci. Comput. , vol.14 , Issue.6 , pp. 1394-1414
    • Schulz-Rinne, C.W.1    Collins, J.P.2    Glaz, H.M.3
  • 18
    • 0346863656 scopus 로고
    • Classification of the Riemann problem for two-dimensional gas dynamics
    • Schulz-Rinne C.W. Classification of the Riemann problem for two-dimensional gas dynamics. SIAM J. Math. Anal. 24 1 (1993) 76-88
    • (1993) SIAM J. Math. Anal. , vol.24 , Issue.1 , pp. 76-88
    • Schulz-Rinne, C.W.1
  • 19
    • 0037146401 scopus 로고    scopus 로고
    • On the construction, comparison and local characteristic decomposition for high-order central WENO schemes
    • Qiu J., and Shu C.-W. On the construction, comparison and local characteristic decomposition for high-order central WENO schemes. J. Comput. Phys. 183 (2002) 187-209
    • (2002) J. Comput. Phys. , vol.183 , pp. 187-209
    • Qiu, J.1    Shu, C.-W.2
  • 20
    • 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
  • 21
    • 0012926485 scopus 로고    scopus 로고
    • Two-dimensional Riemann solver for Euler equations of gas dynamics
    • Brio M., Zakharian A.R., and Webb G.M. Two-dimensional Riemann solver for Euler equations of gas dynamics. J. Comput. Phys. 167 (2001) 177-195
    • (2001) J. Comput. Phys. , vol.167 , pp. 177-195
    • Brio, M.1    Zakharian, A.R.2    Webb, G.M.3
  • 22
    • 0036735663 scopus 로고    scopus 로고
    • Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers
    • Kurganov A., and Tadmor E. Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers. Numer. Methods PDEs 18 (2002) 548-608
    • (2002) Numer. Methods PDEs , vol.18 , pp. 548-608
    • Kurganov, A.1    Tadmor, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.