Self-adjusting grid methods for one-dimensional hyperbolic conservation laws

Journal Article · Sun May 01 00:00:00 EDT 1983 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(83)90066-9· OSTI ID:5889667

Harten, A; Hyman, J M

It is shown how to automatically adjust the grid to follow the dynamics of the numerical solution of hyperbolic conservation laws. The grid motion is determined by averaging the local characteristic velocities of the equations with respect to the amplitudes of the signals. The resulting algorithm is a simple extension of many currently popular Godunov-type methods. Computer codes using one of these methods can be easily modified to add the moving mesh as an option. Numerical examples are given that illustrate the improved accuracy of Godunov's and Roe's methods on a self-adjusting mesh.

• Research Organization: School of Mathematical Sciences, Tel-Aviv University, Tel-Aviv, Isreal
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 5889667
• Journal Information: J. Comput. Phys.; (United States), Vol. 50:2
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
PARTIAL DIFFERENTIAL EQUATIONS
MESH GENERATION
ALGORITHMS
BOUNDARY-VALUE PROBLEMS
CONSERVATION LAWS
COORDINATES
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL LOGIC
990200* - Mathematics & Computers