A Mesh Moving Technique for Time Dependent Partial Differential Equations in Two Space Dimensions.
Final technical rept.,
ARMY ARMAMENT RESEARCH AND DEVELOPMENT CENTER WATERVLIET NY LARGE CALIBER WEAPON SYSTEMS LAB
Pagination or Media Count:
We discuss an adaptive mesh moving technique that can be used with a finite difference or finite element scheme to solve initial-boundary value problems for vector systems or partial differential equations in two space dimensions and time. The mesh moving technique is based on an algebraic node movement function determined from the propagation of significant error regions. The algorithm is designed to be flexible, so that it can be used with many existing finite difference and finite element methods. To test the algorithm, we implemented the mesh mover in a system code along with an initial mesh generator and a MacCormack finite volume integrator on quadralateral cells to solve hyperbolic vector systems. Results are presented for several computational examples. This moving mesh reduces dispersion errors near shocks and wave fronts and thereby reduces the grid requirements necessary to compute accurate solutions while increasing efficiency.
- Theoretical Mathematics