Unconditionally Stable Splitting Methods For The Shallow . . . (1998)
by
Runar Holdahl
,
Helge Holden
,
Knut-Andreas Lie
| Citations: | 5 - 2 self |
BibTeX
@MISC{Holdahl98unconditionallystable,
author = {Runar Holdahl and Helge Holden and Knut-Andreas Lie},
title = {Unconditionally Stable Splitting Methods For The Shallow . . . },
year = {1998}
}
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Abstract
The front-tracking method for hyperbolic conservation laws is combined with operator splitting to study the shallow water equations. Furthermore, the method includes adaptive grid refinement in multidimensions and shock tracking in one dimension. The front-tracking method is unconditionally stable, but for practical computations feasible cfl numbers are moderately above unity (typically between 1 and 5). The method resolves shocks sharply and is highly efficient. The numerical
