Accurate conservative remapping (rezoning) for arbitrary Lagrangian-Eulerian computations

Journal Article · Fri May 01 04:00:00 EDT 1987 · SIAM J. Sci. Stat. Comput.; (United States)

DOI:https://doi.org/10.1137/0908037· OSTI ID:6777230

Dukowicz, J K; Kodis, J W

The Arbitrary Lagrangian-Eulerian (ALE) method in computational fluid dynamics requires the periodic remapping of conserved quantities such as mass, momentum, and energy from a Lagrangian mesh to some other arbitrarily defined mesh. This procedure is a type of interpolation which is usually constrained to be conservative and monotone. It is typically carried out by solving a partial differential equation analogous to the continuity equation. Alternatively, the remapping may be carried out using an integral formulation. Remapping using this integral method avoids many drawbacks of the continuous method but the evaluation of such integrals is costly and difficult for arbitrary meshes. Recently, very efficient methods have been demonstrated for the case of constant cell density in two dimensions. The authors now extend these methods to the much more accurate case in which the density distribution in linear within each cell. This results in second order accuracy. However, to preserve monotonicity the gradients are limited using the option of two simple local limiters. To the extent that the limiting is applied the method locally reverts to first order accuracy.

• Research Organization: Theoretical Div., Group T-3, Los Alamos National Lab., Los Alamos
• OSTI ID: 6777230
• Journal Information: SIAM J. Sci. Stat. Comput.; (United States), Journal Name: SIAM J. Sci. Stat. Comput.; (United States) Vol. 8:3; ISSN SIJCD
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
990230* -- Mathematics & Mathematical Models-- (1987-1989)
ACCURACY
CONTINUITY EQUATIONS
DENSITY MATRIX
DIFFERENTIAL EQUATIONS
ENERGY TRANSFER
EQUATIONS
FLUID MECHANICS
FUNCTIONS
INTERPOLATION
LAGRANGIAN FUNCTION
LIMITING VALUES
LINEAR MOMENTUM
MAPPING
MASS
MATRICES
MECHANICS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS