Adaptive Methods for Compressible Fluid Dynamics
Abstract
Two major research efforts have been supported by this grant. The first is the development of an adaptive algorithm for hyperbolic conservation laws with simple physical geometry. This work is based on a combination of two approaches - an adaptive mesh refinement technique that concentrates computational effort where is most needed, and a high order Godunov method developed for high Mach number compressible flow. This approach has aided in the resolution of the weak von Neumann paradox in shock reflection. It was used to perform the first calculation of Kelvin Helmholtz instability along the slip line in ramp reflection off an oblique wedge. When combined with other algorithms, for example, multifluid tracking, it could categorize refraction patterns when a shock hits an oblique material interface. When combined with an elliptic grid generator, it was used to study the diffraction of a shock over an obstacle. In each of these cases, this approach to time-dependent fluid flow yielded factors of 10 to 100 improvement in efficiency over equivalent fine grid calculation with uniform resolution.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1990
- Accession Number
- ADA232786
Entities
People
- Marsha J. Berger
Organizations
- New York University