Pseudospectral Solution of Inviscid Flows with Multiple Discontinuities.
Abstract
The author has shown that a pseudospectral technique may be coupled with fourth-order artificial viscosity and spectral filtering to solve inviscid flow fields in which a single discontinuity is present. The flow fields treated in this manner have been both one and two dimensional in character; the former consisting of a shock wave propagating in the coordinate direction and the latter a supersonic wedge flow. This report presents results using that same combination of smoothing techniques applied to flows where multiple discontinuities arise. The full inviscid equations of motion (Euler equations), cast in conservation law form, are used together with an Adams-Bashforth time differencing algorithm. Two classes of time dependent multiple discontinuity inviscid flows are solved: (1) a bursting diaphragm problem, in which a shock wave and contact surface discontinuity are simultaneously present, but neither have yet reached a boundary, and (2) the flowfield which arises when two normal shock waves of unequal strengths, traveling towards each other, collide and give rise to two shock waves of new and different strengths along with a contact surface discontinuity.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 17, 1983
- Accession Number
- ADA132084
Entities
People
- L. Sakell
Organizations
- United States Naval Research Laboratory