메뉴 건너뛰기




Volumn 19, Issue 1-3, 2003, Pages 405-438

Multidomain WENO Finite Difference Method with Interpolation at Subdomain Interfaces

Author keywords

Lagrange interpolation; Multidomain; Subdomain interfaces; WENO finite difference method; WENO interpolation

Indexed keywords

COMPLEX GEOMETRY; COMPUTATIONAL COSTS; MULTI-DIMENSIONAL PROBLEMS; SMOOTH CURVILINEAR MESHES; STRONG SHOCKS; SUBDOMAIN INTERFACES;

EID: 0347900512     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025372429380     Document Type: Article
Times cited : (66)

References (31)
  • 1
    • 0000897959 scopus 로고    scopus 로고
    • Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
    • Balsara, D., and Shu, C.-W. (2000). Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy. J. Comput. Phys. 160, 405-452.
    • (2000) J. Comput. Phys. , vol.160 , pp. 405-452
    • Balsara, D.1    Shu, C.-W.2
  • 2
    • 11744289966 scopus 로고
    • Local adaptive mesh refinement for shock hydrodynamics
    • Berger, M., and Colella, P. (1989). Local adaptive mesh refinement for shock hydrodynamics. J. Comput. Phys. 82, 64-84.
    • (1989) J. Comput. Phys. , vol.82 , pp. 64-84
    • Berger, M.1    Colella, P.2
  • 3
    • 0028518332 scopus 로고
    • Comparison of two formulations for high-order accurate essentially nonoscillatory schemes
    • Casper, J., Shu, C.-W., and Atkins, H. L. (1994). Comparison of two formulations for high-order accurate essentially nonoscillatory schemes. AIAA J. 32, 1970-1977.
    • (1994) AIAA J. , vol.32 , pp. 1970-1977
    • Casper, J.1    Shu, C.-W.2    Atkins, H.L.3
  • 4
    • 0003038268 scopus 로고    scopus 로고
    • Dynamical response of a stellar atmosphere to pressure perturbations: Numerical simulations
    • Del Zanna, L., Velli, M., and Londrillo, P. (1998). Dynamical response of a stellar atmosphere to pressure perturbations: Numerical simulations. Astron. Astrophys. 330, L13-L16.
    • (1998) Astron. Astrophys. , vol.330
    • Del Zanna, L.1    Velli, M.2    Londrillo, P.3
  • 5
    • 0001484343 scopus 로고    scopus 로고
    • Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids
    • Friedrichs, O. (1998). Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids. J. Comput. Phys. 144, 194-212.
    • (1998) J. Comput. Phys. , vol.144 , pp. 194-212
    • Friedrichs, O.1
  • 6
    • 0039621588 scopus 로고    scopus 로고
    • Shock-wave-vortex interactions: Shock and vortex deformations, and sound production
    • Grasso, F., and Pirozzoli, S. (2000). Shock-wave-vortex interactions: Shock and vortex deformations, and sound production. Theor. Comp. Fluid Dyn. 13, 421-456.
    • (2000) Theor. Comp. Fluid Dyn. , vol.13 , pp. 421-456
    • Grasso, F.1    Pirozzoli, S.2
  • 7
    • 0034080350 scopus 로고    scopus 로고
    • Shock wave-thermal inhomogeneity interactions: Analysis and numerical simulations of sound generation
    • Grasso, F., and Pirozzoli, S. (2000). Shock wave-thermal inhomogeneity interactions: Analysis and numerical simulations of sound generation. Phys. Fluids 12, 205-219.
    • (2000) Phys. Fluids , vol.12 , pp. 205-219
    • Grasso, F.1    Pirozzoli, S.2
  • 8
    • 33749725182 scopus 로고
    • Uniformly high order essentially non-oscillatory schemes, III
    • Harten, A., Engquist, B., Osher, S., and Chakravarthy, S. (1987). Uniformly high order essentially non-oscillatory schemes, III. J. Comput. Phys. 71, 231-303.
    • (1987) J. Comput. Phys. , vol.71 , pp. 231-303
    • Harten, A.1    Engquist, B.2    Osher, S.3    Chakravarthy, S.4
  • 9
    • 0003140474 scopus 로고    scopus 로고
    • Weighted essentially non-oscillatory schemes on triangular meshes
    • Hu, C., and Shu, C.-W. (1999). Weighted essentially non-oscillatory schemes on triangular meshes. J. Comput. Phys. 150, 97-127.
    • (1999) J. Comput. Phys. , vol.150 , pp. 97-127
    • Hu, C.1    Shu, C.-W.2
  • 10
    • 0034503787 scopus 로고    scopus 로고
    • Weighted ENO schemes for Hamilton-Jacobi equations
    • Jiang, G., and Peng, D.-P. (2000). Weighted ENO schemes for Hamilton-Jacobi equations. SIAM J. Sci. Comput. 21, 2126-2143.
    • (2000) SIAM J. Sci. Comput. , vol.21 , pp. 2126-2143
    • Jiang, G.1    Peng, D.-P.2
  • 11
    • 0030161771 scopus 로고    scopus 로고
    • Efficient implementation of weighted ENO schemes
    • Jiang, G., and Shu, C.-W. (1996). Efficient implementation of weighted ENO schemes. J. Comput. Phys. 126, 202-228.
    • (1996) J. Comput. Phys. , vol.126 , pp. 202-228
    • Jiang, G.1    Shu, C.-W.2
  • 12
    • 0001116632 scopus 로고    scopus 로고
    • A high order WENO finite difference scheme for the equations of ideal magnetohydrodynamics
    • Jiang, G., and Wu, C.-C. (1999). A high order WENO finite difference scheme for the equations of ideal magnetohydrodynamics. J. Comput. Phys. 150, 561-594.
    • (1999) J. Comput. Phys. , vol.150 , pp. 561-594
    • Jiang, G.1    Wu, C.-C.2
  • 14
    • 0033169611 scopus 로고    scopus 로고
    • Numerical simulation of underwater blast-wave focusing using a high-order scheme
    • Liang, S., and Chen, H. (1999). Numerical simulation of underwater blast-wave focusing using a high-order scheme. AIAA J. 37, 1010-1013.
    • (1999) AIAA J. , vol.37 , pp. 1010-1013
    • Liang, S.1    Chen, H.2
  • 15
    • 0000088242 scopus 로고    scopus 로고
    • Composite schemes for conservation laws
    • Liska, R., and Wendroff, B. (1998). Composite schemes for conservation laws. SIAM J. Numer. Anal. 35, 2250-2271.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 2250-2271
    • Liska, R.1    Wendroff, B.2
  • 16
    • 0033618042 scopus 로고    scopus 로고
    • Two-dimensional shallow water equations by composite schemes
    • Liska, R., and Wendroff, B. (1999). Two-dimensional shallow water equations by composite schemes. Int. J. Numer. Meth. Fluids 30, 461-479.
    • (1999) Int. J. Numer. Meth. Fluids , vol.30 , pp. 461-479
    • Liska, R.1    Wendroff, B.2
  • 17
    • 0000592595 scopus 로고
    • Weighted essentially non-oscillatory schemes
    • Liu, X.-D., Osher, S., and Chan, T. (1994). Weighted essentially non-oscillatory schemes. J. Comput. Phys. 115, 200-212.
    • (1994) J. Comput. Phys. , vol.115 , pp. 200-212
    • Liu, X.-D.1    Osher, S.2    Chan, T.3
  • 18
    • 0001808601 scopus 로고    scopus 로고
    • Real gas computation using an energy relaxation method and high order WENO schemes
    • Montarnal, P., and Shu, C.-W. (1999). Real gas computation using an energy relaxation method and high order WENO schemes. J. Comput. Phys. 148, 59-80.
    • (1999) J. Comput. Phys. , vol.148 , pp. 59-80
    • Montarnal, P.1    Shu, C.-W.2
  • 19
    • 0000783988 scopus 로고    scopus 로고
    • The MoT-ICE: A new high-resolution wave-propagation algorithm for multi-dimensional systems of conservation laws based on Fey's method of transport
    • Noelle, S. (2000). The MoT-ICE: a new high-resolution wave-propagation algorithm for multi-dimensional systems of conservation laws based on Fey's method of transport. J. Comput. Phys. 164, 283-334.
    • (2000) J. Comput. Phys. , vol.164 , pp. 283-334
    • Noelle, S.1
  • 20
    • 0036151484 scopus 로고    scopus 로고
    • A technique of treating negative weights in WENO schemes
    • Shi, J., Hu, C., and Shu, C.-W. (2002). A technique of treating negative weights in WENO schemes. J. Comput. Phys. 175, 108-127.
    • (2002) J. Comput. Phys. , vol.175 , pp. 108-127
    • Shi, J.1    Hu, C.2    Shu, C.-W.3
  • 21
    • 0000034725 scopus 로고    scopus 로고
    • Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws
    • Cockburn, B., Johnson, C., Shu, C.-W., and Tadmor, E. (Quarteroni, A. (ed)), Lecture Notes in Mathematics, Springer
    • Shu, C.-W. (1998). Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws. In Cockburn, B., Johnson, C., Shu, C.-W., and Tadmor, E. (Quarteroni, A. (ed)), Advanced Numerical Approximation of Nonlinear Hyperbolic Equations, Lecture Notes in Mathematics, Vol. 1697, Springer, pp. 325-432.
    • (1998) Advanced Numerical Approximation of Nonlinear Hyperbolic Equations , vol.1697 , pp. 325-432
    • Shu, C.-W.1
  • 22
    • 0000446212 scopus 로고    scopus 로고
    • High order ENO and WENO schemes for computational fluid dynamics
    • Barth, T. J., and Deconinck, H. (eds.), Lecture Notes in Computational Science and Engineering, Springer
    • Shu, C.-W. (1999). High order ENO and WENO schemes for computational fluid dynamics. In Barth, T. J., and Deconinck, H. (eds.), High-Order Methods for Computational Physics, Lecture Notes in Computational Science and Engineering, Vol. 9, Springer, pp. 439-582.
    • (1999) High-order Methods for Computational Physics , vol.9 , pp. 439-582
    • Shu, C.-W.1
  • 23
    • 0037383334 scopus 로고    scopus 로고
    • High order finite difference and finite volume WENO schemes and discontinuous Galerkin methods for CFD
    • to appear
    • Shu, C.-W. High order finite difference and finite volume WENO schemes and discontinuous Galerkin methods for CFD. Int. J. Comput. Fluid Dyn., to appear.
    • Int. J. Comput. Fluid Dyn.
    • Shu, C.-W.1
  • 24
    • 45449125925 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock capturing schemes
    • Shu, C.-W., and Osher, S. (1988). Efficient implementation of essentially non-oscillatory shock capturing schemes. J. Comput. Phys. 77, 439-471.
    • (1988) J. Comput. Phys. , vol.77 , pp. 439-471
    • Shu, C.-W.1    Osher, S.2
  • 25
    • 0001568854 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock capturing schemes, II
    • Shu, C.-W., and Osher, S. (1989). Efficient implementation of essentially non-oscillatory shock capturing schemes, II. J. Comput. Phys. 83, 32-78.
    • (1989) J. Comput. Phys. , vol.83 , pp. 32-78
    • Shu, C.-W.1    Osher, S.2
  • 26
    • 0028401064 scopus 로고
    • Conservative and non-conservative interpolation between overlapping grids for finite volume solutions of hyperbolic problems
    • Part-Enander, E., and Sjogreen, B. (1994). Conservative and non-conservative interpolation between overlapping grids for finite volume solutions of hyperbolic problems. Computers Fluids 23, 551-574.
    • (1994) Computers Fluids , vol.23 , pp. 551-574
    • Part-Enander, E.1    Sjogreen, B.2
  • 27
    • 0035973287 scopus 로고    scopus 로고
    • A new multidomain/multiresolution method for large-eddy simulation
    • Quemere, P., Sagaut, P., and Couailler, V. (2001). A new multidomain/multiresolution method for large-eddy simulation, Int. J. Numer. Meth. Fluids 36, 391-416.
    • (2001) Int. J. Numer. Meth. Fluids , vol.36 , pp. 391-416
    • Quemere, P.1    Sagaut, P.2    Couailler, V.3
  • 28
    • 0043190555 scopus 로고    scopus 로고
    • On nonconservative algorithms for grid interfaces
    • Tang, H.-S., and Zhou, T. (1999). On nonconservative algorithms for grid interfaces. SIAM J. Numer. Anal. 37, 173-193.
    • (1999) SIAM J. Numer. Anal. , vol.37 , pp. 173-193
    • Tang, H.-S.1    Zhou, T.2
  • 29
    • 48749139407 scopus 로고
    • The numerical simulation of two-dimensional fluid flow with strong shocks
    • Woodward, P., and Colella, P. (1984). The numerical simulation of two-dimensional fluid flow with strong shocks. J. Comput. Phys. 54, 115-173.
    • (1984) J. Comput. Phys. , vol.54 , pp. 115-173
    • Woodward, P.1    Colella, P.2
  • 30
    • 0000078359 scopus 로고    scopus 로고
    • Implicit weighted ENO schemes for the three-dimensional incompressible Navier-Stokes equations
    • Yang, J., Yang, S., Chen, Y., and Hsu, C. (1998). Implicit weighted ENO schemes for the three-dimensional incompressible Navier-Stokes equations. J. Comput. Phys. 146, 464-487.
    • (1998) J. Comput. Phys. , vol.146 , pp. 464-487
    • Yang, J.1    Yang, S.2    Chen, Y.3    Hsu, C.4
  • 31
    • 84983160294 scopus 로고    scopus 로고
    • High order WENO schemes for Hamilton-Jacobi equations on triangular meshes
    • to appear
    • Zhang, Y.-T. and Shu, C.-W. High order WENO schemes for Hamilton-Jacobi equations on triangular meshes. SIAM J. Sci. Comput., to appear.
    • SIAM J. Sci. Comput.
    • Zhang, Y.-T.1    Shu, C.-W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.