An Eulerian Differencing Method for Unsteady Compressible Flow Problems
Abstract
An Eulerian finite difference method is presented which can be used with a highspeed computer to solve the timedependent 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 timedependent flow in two space dimensions are described and analyzed: the diffraction of a weak shock travelling through a zshaped 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:
 10.1016/00219991(66)900143
 Bibcode:
 1966JCoPh...1...87G