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Shallow water equations for large bathymetry variations
release_dfpzjfpiffezvkvpmdupo7pfee
by
Denys Dutykh
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as a article
.
2011
Abstract
In this study, we propose an improved version of the nonlinear shallow water
(or Saint-Venant) equations. This new model is designed to take into account
the effects resulting from the large spacial and/or temporal variations of the
seabed. The model is derived from a variational principle by choosing the
appropriate shallow water ansatz and imposing suitable constraints. Thus, the
derivation procedure does not explicitly involve any small parameter.
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1103.5292v3
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