Difference procedures for a two-dimensional quasi-linear hyperbolic differential equation system and their tests
Abstract
The hyperbolic systems of the first order in flow mechanics describe unsteady flow processes and steady supesonic flows. The cases involved represent quasi-linear systems and initial-value/boundary-value problems. Such a problem is, therefore, used in an investigation of difference algorithms and their tests. The investigation makes use of a supermatrix-operator representation, the Taylor expansion, and the symbolic language MASUCA. On account of the nonlinear aspects involved, the investigative method represents a combination of theoretical analysis and numerical experiments. The obtained results demonstrate that the derived boundary algorithms represent a rational difference approximation for the corresponding boundary-value problem. These algorithms assure the accuracy of the entire algorithm or improve it.
- Publication:
-
Gesellschaft angewandte Mathematik und Mechanik Jahrestagung Goettingen West Germany Zeitschrift Flugwissenschaften
- Pub Date:
- 1986
- Bibcode:
- 1986GMMWJ..66..220H
- Keywords:
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- Computational Fluid Dynamics;
- Flow Equations;
- Hyperbolic Differential Equations;
- Supersonic Flow;
- Two Dimensional Flow;
- Algorithms;
- Boundary Value Problems;
- Fluid Mechanics and Heat Transfer