An Unconditionally Stable Method for the Euler Equations
Helge Holden, Knut-Andreas Lie, and Nils Henrik Risebro
We discuss how to combine a
front tracking method with dimensional
splitting to solve numerically systems of conservation laws in two space
dimensions. In addition we present an
adaptive grid refinement strategy.
The method is unconditionally stable and allows for moderately high CFL
numbers (typically 1--4), and thus it is highly efficient.
The method is applied to the Euler equations of gas dynamics. In
particular, it is tested on an expanding circular gas front, a wind tunnel
with a step, a double Mach reflection as well as a shock-bubble
interaction. The method shows very sharp resolution of shocks.
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- An unconditionally stable method for the Euler equations
- Helge Holden,
- Knut-Andreas Lie,
- Nils Henrik Risebro,
- Publishing information:
- More numerical
examples are available on the web.
- Submitted by:
May 4 1998.
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Last modified: Mon May 4 11:01:39 1998