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Volumn 150, Issue 1, 1999, Pages 97-127

Weighted Essentially Non-oscillatory Schemes on Triangular Meshes

Author keywords

High order accuracy; Shock calculations; Unstructured mesh; Weighted essentially non oscillatory schemes

Indexed keywords

MESH GENERATION;

EID: 0003140474     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1998.6165     Document Type: Article
Times cited : (739)

References (37)
  • 1
    • 0002677386 scopus 로고
    • On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation
    • Abgrall R. On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation. J. Comput. Phys. 114:1994;45.
    • (1994) J. Comput. Phys. , vol.114 , pp. 45
    • Abgrall, R.1
  • 2
    • 0030215536 scopus 로고    scopus 로고
    • A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems
    • Adams N., Shariff K. A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems. J. Comput. Phys. 127:1996;27.
    • (1996) J. Comput. Phys. , vol.127 , pp. 27
    • Adams, N.1    Shariff, K.2
  • 4
    • 85190802651 scopus 로고    scopus 로고
    • High order central schemes for hyperbolic systems of conservation laws
    • F. Bianco, G. Puppo, G. Russo, High order central schemes for hyperbolic systems of conservation laws, SIAM J. Sci. Comput.
    • SIAM J. Sci. Comput
    • Bianco, F.1    Puppo, G.2    Russo, G.3
  • 5
    • 0026971726 scopus 로고
    • Finite-volume implementation of high-order essentially non-oscillatory schemes in two dimensions
    • Casper J. Finite-volume implementation of high-order essentially non-oscillatory schemes in two dimensions. AIAA J. 30:1992;2829.
    • (1992) AIAA J. , vol.30 , pp. 2829
    • Casper, J.1
  • 6
    • 0002267573 scopus 로고
    • A finite-volume high-order ENO scheme for two dimensional hyperbolic systems
    • Casper J., Atkins H. A finite-volume high-order ENO scheme for two dimensional hyperbolic systems. J. Comput. Phys. 106:1993;62.
    • (1993) J. Comput. Phys. , vol.106 , pp. 62
    • Casper, J.1    Atkins, H.2
  • 7
    • 0001690553 scopus 로고    scopus 로고
    • The Runge-Kutta discontinuous Galerkin method for conservation laws. V. Multidimensional systems
    • Cockburn B., Shu C.-W. The Runge-Kutta discontinuous Galerkin method for conservation laws. V. Multidimensional systems. J. Comput. Phys. 141:1998;199.
    • (1998) J. Comput. Phys. , vol.141 , pp. 199
    • Cockburn, B.1    Shu, C.-W.2
  • 8
    • 0001174774 scopus 로고
    • Relativistic hydrodynamics and essentially non-oscillatory shock capturing schemes
    • Dolezal A., Wong S. Relativistic hydrodynamics and essentially non-oscillatory shock capturing schemes. J. Comput. Phys. 120:1995;266.
    • (1995) J. Comput. Phys. , vol.120 , pp. 266
    • Dolezal, A.1    Wong, S.2
  • 9
    • 28144458243 scopus 로고
    • A numerical resolution study of high order essentially non-oscillatory schemes applied to incompressible flow
    • Shu C.-W. A numerical resolution study of high order essentially non-oscillatory schemes applied to incompressible flow. J. Comput. Phys. 110:1994;39.
    • (1994) J. Comput. Phys. , vol.110 , pp. 39
    • Shu, C.-W.1
  • 10
    • 0031126258 scopus 로고    scopus 로고
    • Interaction of a shock with a longitudinal vortex
    • Erlebacher G., Hussaini Y., Shu C.-W. Interaction of a shock with a longitudinal vortex. J. Fluid Mech. 337:1997;129.
    • (1997) J. Fluid Mech. , vol.337 , pp. 129
    • Erlebacher, G.1    Hussaini, Y.2    Shu, C.-W.3
  • 12
    • 0001484343 scopus 로고    scopus 로고
    • Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids
    • Friedrichs O. Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids. J. Comput. Phys. 144:1998;194.
    • (1998) J. Comput. Phys. , vol.144 , pp. 194
    • Friedrichs, O.1
  • 13
    • 0030210980 scopus 로고    scopus 로고
    • An Eulerian approach for vortex motion using a level set regularization procedure
    • Harabetian E., Osher S., Shu C.-W. An Eulerian approach for vortex motion using a level set regularization procedure. J. Comput. Phys. 127:1996;15.
    • (1996) J. Comput. Phys. , vol.127 , pp. 15
    • Harabetian, E.1    Osher, S.2    Shu, C.-W.3
  • 18
    • 0029357294 scopus 로고
    • Transport effects and characteristic modes in the modeling and simulation of submicron devices
    • Jerome J., Shu C.-W. Transport effects and characteristic modes in the modeling and simulation of submicron devices. IEEE Trans. Computer-Aided Design Integrated Circuits Syst. 14:1995;917.
    • (1995) IEEE Trans. Computer-Aided Design Integrated Circuits Syst. , vol.14 , pp. 917
    • Jerome, J.1    Shu, C.-W.2
  • 19
    • 0030161771 scopus 로고    scopus 로고
    • Efficient implementation of weighted ENO schemes
    • Jiang G., Shu C.-W. Efficient implementation of weighted ENO schemes. J. Comput. Phys. 126:1996;202.
    • (1996) J. Comput. Phys. , vol.126 , pp. 202
    • Jiang, G.1    Shu, C.-W.2
  • 20
    • 36449004278 scopus 로고
    • Advection by polytropic compressible turbulence
    • Ladeinde F., O'Brien E., Cai X., Liu W. Advection by polytropic compressible turbulence. Phys. Fluids. 7:1995;2848.
    • (1995) Phys. Fluids , vol.7 , pp. 2848
    • Ladeinde, F.1    O'Brien, E.2    Cai, X.3    Liu, W.4
  • 21
    • 84980078953 scopus 로고
    • Weak solutions of nonlinear hyperbolic equations and their numerical computation
    • Lax P. D. Weak solutions of nonlinear hyperbolic equations and their numerical computation. Commun. Pure Appl. Math. 7:1954;159.
    • (1954) Commun. Pure Appl. Math. , vol.7 , pp. 159
    • Lax, P.D.1
  • 23
    • 0000592595 scopus 로고
    • Weighted essentially non-oscillatory schemes
    • Liu X.-D., Osher S., Chan T. Weighted essentially non-oscillatory schemes. J. Comput. Phys. 115:1994;200.
    • (1994) J. Comput. Phys. , vol.115 , pp. 200
    • Liu, X.-D.1    Osher, S.2    Chan, T.3
  • 24
    • 44749084234 scopus 로고
    • Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulation
    • Osher S., Sethian J. Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulation. J. Comput. Phys. 79:1988;12.
    • (1988) J. Comput. Phys. , vol.79 , pp. 12
    • Osher, S.1    Sethian, J.2
  • 25
    • 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
  • 27
    • 0000034725 scopus 로고    scopus 로고
    • Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws
    • A. Quarteroni, Springer-Verlag, Berlin/New York
    • C-W. Shu, Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws, Advanced Numerical Approximation of Nonlinear Hyperbolic Equations, A. Quarteroni, Springer-Verlag, Berlin/New York.
    • Advanced Numerical Approximation of Nonlinear Hyperbolic Equations
    • Shu, C.-W.1
  • 28
    • 85190807555 scopus 로고    scopus 로고
    • C-W. Shu
    • C-W. Shu.
  • 29
    • 45449125925 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock capturing schemes
    • Shu C.-W., Osher S. Efficient implementation of essentially non-oscillatory shock capturing schemes. J. Comput. Phys. 77:1988;439.
    • (1988) J. Comput. Phys. , vol.77 , pp. 439
    • Shu, C.-W.1    Osher, S.2
  • 30
    • 0001568854 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock capturing schemes, II
    • Shu C.-W., Osher S. 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, C.-W.1    Osher, S.2
  • 32
    • 0031235330 scopus 로고    scopus 로고
    • High order essentially non-oscillatory scheme for viscoelasticity with fading memory
    • Shu C.-W., Zeng Y. High order essentially non-oscillatory scheme for viscoelasticity with fading memory. Quart. Appl. Math. 55:1997;459.
    • (1997) Quart. Appl. Math. , vol.55 , pp. 459
    • Shu, C.-W.1    Zeng, Y.2
  • 34
    • 2942705023 scopus 로고
    • A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
    • Sod G. A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws. J. Comput. Phys. 27:1978;1.
    • (1978) J. Comput. Phys. , vol.27 , pp. 1
    • Sod, G.1
  • 35
    • 0030738142 scopus 로고    scopus 로고
    • On the construction of essentially non-oscillatory finite volume approximations to hyperbolic conservation laws on general triangulations: Polynomial recovery, accuracy and stencil selection
    • Sonar T. On the construction of essentially non-oscillatory finite volume approximations to hyperbolic conservation laws on general triangulations: Polynomial recovery, accuracy and stencil selection. Comput. Methods Appl. Mech. Engrg. 140:1997;157.
    • (1997) Comput. Methods Appl. Mech. Engrg. , vol.140 , pp. 157
    • Sonar, T.1
  • 36
    • 0010962813 scopus 로고
    • Robust numerical methods for 2D turbulence
    • Walsteijn F. Robust numerical methods for 2D turbulence. J. Comput. Phys. 114:1994;129.
    • (1994) J. Comput. Phys. , vol.114 , pp. 129
    • Walsteijn, F.1
  • 37
    • 48749139407 scopus 로고
    • The numerical simulation of two-dimensional fluid flow with strong shocks
    • Woodward P., Colella P. The numerical simulation of two-dimensional fluid flow with strong shocks. J. Comput. Phys. 54:1984;115.
    • (1984) J. Comput. Phys. , vol.54 , pp. 115
    • Woodward, P.1    Colella, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.