Some preliminary results using a large time step generalization of Godunov's method
Abstract
It is possible to generalize Godunov's method to larger time steps (Courant number greater than 1) by 'linearizing' shock interactions within each time step. This method is applied to a system of two conservation laws to observe the effects of linearization. It is found that for moderate values of the Courant number it performs better than might be expected, giving better resolution of shocks and more accuracy in smooth regions than Godunov's method.
- Publication:
-
IN: Numerical methods for the Euler equations of fluid dynamics (A87-14085 03-34). Philadelphia
- Pub Date:
- 1985
- Bibcode:
- 1985nmee.proc...32L
- Keywords:
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- Computational Fluid Dynamics;
- Conservation Laws;
- Shock Wave Interaction;
- Step Functions;
- Algorithms;
- Computational Grids;
- Euler Equations Of Motion;
- Linear Equations;
- Fluid Mechanics and Heat Transfer