A high order accurate conservative remapping method on staggered meshes

Applied Numerical Mathematics

Volumn 58, Issue 7, 2008, Pages 1042-1060

  Cheng, Juan ^a   Shu, Chi Wang ^b  

^a INSTITUTE OF APPLIED PHYSICS AND COMPUTATIONAL MATHEMATICS   (China)

^b BROWN UNIVERSITY   (United States)

Author keywords

Conservation; ENO reconstruction; High order accuracy; Remapping; Staggered mesh

Indexed keywords

EULER EQUATIONS; LAGRANGE MULTIPLIERS; MAPPING; POLYNOMIALS; PROBLEM SOLVING;

QUANTITY MOMENTUM; REMAPPING; STAGGERED MESH;

ALGORITHMS;

EID: 43849103450     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2007.04.015     Document Type: Article

References (15)

1. Abgrall R. On essentially non-oscillatory schemes on unstructured meshes: analysis and implementation. J. Comp. Phys. 114 (1994) 45-58
2. R. Abgrall, J. Breil, P.H. Maire, J. Ovadia, A Lagrangian scheme for multidimensional compressible flow problems. SIAM J. Sci. Comput., in press
3. Benson D.J. Computational methods in Lagrangian and Eulerian hydrocodes. Comput. Meth. Appl. Mech. Eng. 99 (1992) 235-394
4. Benson D.J. Momentum advection on a staggered mesh. J. Comp. Phys. 100 (1992) 143-162
5. Colella P. Multidimensional upwind methods for hyperbolic conservation laws. J. Comp. Phys. 87 (1990) 171-200
6. Dukowicz J., and Baumgardener J. Incremental remapping as a transport/advection algorithm. J. Comp. Phys. 160 (2000) 318-335
7. Foley J.D., van Dam A., Feiner S.K., and Hughes J.F. Computer Graphics, Principles and Practice. Addison-Wesley Systems Programming Series. second ed. (1991), Addison-Wesley, Reading, MA
8. Grandy J. Conservative remapping and regions overlays by intersecting polyhedra. J. Comp. Phys. 148 (1999) 433-466
9. Harten A., Engquist B., Osher S., and Chakravarthy S.R. Uniformly high order accurate essentially non-oscillatory schemes, III. J. Comp. Phys. 71 (1987) 231-303
10. Hirt C., Amsden A., and Cook J. An arbitrary Lagrangian-Eulerian computing method for all flow speeds. J. Comp. Phys. 14 (1974) 227-253
11. Kucharik M., Shashkov M., and Wendroff B. An efficient linearity-and-bound-preserving remapping method. J. Comp. Phys. 188 (2003) 462-471
12. Loubère R., and Shashkov M.J. A subcell remapping method on staggered polygonal grids for Arbitrary-Lagrangian-Eulerian methods. J. Comp. Phys. 209 (2005) 105-138
13. Margolin L.G., and Shashkov M. Second-order sign-preserving conservative interpolation (remapping) on general grids. J. Comp. Phys. 184 (2003) 266-298
14. Margolin L.G., and Shashkov M. Remapping, recovery and repair on a staggered grid. Comput. Meth. Appl. Mech. Eng. 193 (2004) 4139-4155
15. Shu C.-W. Preface to the republication of "uniformly high order essentially non-oscillatory schemes, III", by Harten, Engquist, Osher, and Chakravarthy. J. Comp. Phys. 131 (1997) 1-2