TY - JOUR
T1 - Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations
AU - Dutykh, D.
AU - Clamond, D.
AU - Milewski, P.
AU - Mitsotakis, D.
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.
UR - http://www.scopus.com/inward/record.url?scp=84883170138&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1017/S0956792513000168
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 -