TIME-DEPENDENT TECHNIQUES FOR THE SOLUTION OF VISCOUS, HEAT CONDUCTING, CHEMICALLY REACTING, RADIATING DISCONTINUOUS FLOWS.
POLYTECHNIC INST OF BROOKLYN FARMINGDALE N Y DEPT OF AEROSPACE ENGINEERING AND APPLIED MECHANICS
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It is shown how the integral equations of inviscid hydrodynamics may be written in conservation form for arbitrary curvilinear coordinate systems. A second order accurate difference scheme for three space dimensions and time is derived directly from the integral equations. Finally, the behavior of the linearized difference approximation is examined and a necessary and sufficient condition for stability for three-dimensional cartesian coordinates is derived. The second part of the paper is devoted to the application of these difference schemes to viscous, heat conducting, chemically reacting radiating shocked flows. Author
- Numerical Mathematics
- Fluid Mechanics