Well-Balanced Finite Volume Schemes of Arbitrary Order of Accuracy for
Shallow Water Flows
Sebastian Noelle, Normann Pankratz, Gabriella Puppo, and Jostein R. Natvig
Many geophysical flows are merely perturbations of some fundamental
equilibrium state. If a numerical scheme shall capture such flows
efficiently, it should be able to preserve the unperturbed equilibrium
state at the discrete level. Here we present a class of schemes of
any desired order of accuracy which preserve the lake at rest perfectly.
These schemes should have an impact for studying important classes of
lake and ocean flows.
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- Sebastian Noelle,
- Normann Pankratz,
- Gabriella Puppo,
- Jostein R. Natvig,
- Publishing information:
- Submitted by:
May 11 2005.
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Last modified: Wed May 25 09:01:27 MEST 2005