TY - JOUR
T1 - Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations
AU - Dutykh, Denys
AU - Clamond, Didier
AU - Milewski, Paul
AU - Mitsotakis, Dimitrios
N1 - Funding Information:
Acknowledgement. This work was in part supported by the ITRC, Ministry of Information and Communication Grant and the BK21 project.
PY - 2013/10
Y1 - 2013/10
N2 - 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 and experimental data or other numerical solutions obtained by a highly accurate pseudo-spectral method.
AB - 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 and experimental data or other numerical solutions obtained by a highly accurate pseudo-spectral method.
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U2 - 10.1017/S0956792513000168
DO - 10.1017/S0956792513000168
M3 - Article
AN - SCOPUS:84883170138
SN - 0956-7925
VL - 24
SP - 761
EP - 787
JO - European Journal of Applied Mathematics
JF - European Journal of Applied Mathematics
IS - 5
ER -