An Eulerian Differencing Method for Unsteady Compressible Flow Problems
Abstract
An Eulerian finite difference method is presented which can be used with a high-speed computer to solve the time-dependent equations of motion for the compressible flow of a fluid. The difference equations are described in detail, and the nature of the truncation errors introduced by the numerical approximations is discussed, as are the stability properties of the equations. Three solutions involving time-dependent flow in two space dimensions are described and analyzed: the diffraction of a weak shock travelling through a z-shaped tunnel, the interaction of a supersonic blunt body with a plane shock wave, and the passage of a plane shock over a conical body. Good agreement with experimental data is obtained in all cases where comparisons are made.
- Publication:
-
Journal of Computational Physics
- Pub Date:
- August 1966
- DOI:
- 10.1016/0021-9991(66)90014-3
- Bibcode:
- 1966JCoPh...1...87G