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Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations
After we derive the Serre system of equations of water wave theory from a
generalized variational principle, we present some of its structural
properties. We also propose a robust and accurate finite volume scheme to solve
these equations in one horizontal dimension. The numerical discretization is
validated by comparisons with analytical, experimental data or other numerical
solutions obtained by a highly accurate pseudo-spectral method.Comment: 28 pages, 16 figures, 75 references. Other author's papers can be
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