Remapping, recovery and repair on a staggered grid

Computer Methods in Applied Mechanics and Engineering

Volumn 193, Issue 39-41 SPEC. ISS., 2004, Pages 4139-4155

  Margolin, L G ^a   Shashkov, Mikhail ^b  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

ALE methods; High speed flows; Remapping

Indexed keywords

ARBITRARY LAGRANGIAN-EULERIAN (ALE); REMAPPING ALGORITHMS; SCALAR FUNCTIONS; SIGN PRESERVATIONS;

KINETIC ENERGY; NUMERICAL ANALYSIS; PERFORMANCE; SUSTAINABLE DEVELOPMENT;

ALGORITHMS;

MATHEMATICAL METHOD;

EID: 4444241262     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2003.07.016     Document Type: Article

References (17)

1. A.A. Amsden, H.M. Ruppel, C.W. Hirt, SALE: A simplified ALE computer program for fluid flow at all speeds, Los Alamos National Laboratory Report LA-8095, 1980
2. Benson D.J. Momentum advection on a staggered grid J. Comp. Phys. 100 1992 143-162
3. R.B. Demuth, L.G. Margolin, B.D. Nichols, T.F. Adams, B.W. Smith, SHALE: a computer program for solid dynamics, Los Alamos National Laboratory Report LA-10236, 1985
4. Hirt C.W. Amsden A.A. Cook J. An arbitrary Lagrangian-Eulerian computing method for all flow speeds J. Comp. Phys. 14 1974 227-253 and reprinted in 135 (1997) 203-216
5. C.W. Hirt, A.A. Amsden, YAQUI: An arbitrary Lagrangian-Eulerian computer program for fluid flow at all speeds, Los Alamos Scientific Laboratory Report LA-5100, 1973
6. Knupp P. Margolin L.G. Shashkov M. Reference jacobian optimization-based rezone strategies for arbitrary Lagrangian Eulerian methods J. Comp. Phys. 176 2002 93-128
7. Kucharik M. Shashkov M. Wendroff B. An efficient linearity-and-bound-preserving remapping method J. Comp. Phys. 188 2003 462-471
8. Margolin L.G. Shashkov M. Smolarkiewicz P.K. A discrete operator calculus for finite difference approximations Comput. Methods Appl. Sci. Engrg. 187 2000 365-383
9. Margolin L.G. Smolarkiewicz P.K. Antidiffusive velocities for multipass donor cell advection SIAM J. Sci. Comp. 20 1998 907-929
10. L.G. Margolin, C.W. Beason, Remapping on the staggered mesh, Report UCRL-99682 of Lawrence Livermore National Laboratory, 1988
11. Margolin L.G. Introduction to an arbitrary Lagrangian-Eulerian computing method for all flow speeds J. Comp. Phys. 135 1997 198-202
12. L.G. Margolin, J. Pyun, A method for treating hourglass patterns, in: C. Taylor, W. Habashi, M. Hafez, (Eds.), Proceedings of the 5th International Conference in Laminar and Turbulent Flow, Montreal, Canada, July, 1987, pp. 149-160
13. Margolin L.G. Shashkov M. Second-order sign-preserving conservative interpolation (remapping) on general grids J. Comp. Phys. 184 2003 266-298
14. Shashkov M. Conservative Finite-Difference Methods on General Grids 1995 CRC Press Boca Raton
15. Shashkov M. Knupp P. Optimization-based reference-matrix rezone strategies for arbitrary Lagrangian-Eulerian methods on unstructured grids Selcuk. J. Appl. Math. 3 1 2002 81-99
16. Smolarkiewicz P.K. Grabowski W.W. The multidimensional positive definite advection transport algorithm: nonoscillatory option J. Comp. Phys. 86 1990 355-375
17. Smolarkiewicz P. Margolin L. MPDATA: A finite-difference solver for geophysical flows J. Comp. Phys. 140 1998 459-480