FEM solutions of some Boussinesq-type models for surface water waves
 
 
Description:  A class of improved Boussinesq-type models to simulate the propagation and generation of nonlinear dispersive waves is presented. The models are derived in order to keep some dispersive characteristics of higher-order ones. Some stability properties of the numerical models are discussed. To approximate the solutions of the fourth-order models a continuous/discontinuous Galerkin finite element method with inner penalty terms is proposed. The discretization of the spatial variables is made using continuous-P2 Lagrange elements (with discontinuous derivatives over the elements edges). This numerical scheme is also applied to an improved KdV-BBM equation. To demonstrate the applicability of the numerical schemes, several test cases are considered. All the numerical tests are part of the DOLFWAVE library.
This is joint work with P. Pereira and L. Trabucho.
Date:  2012-07-11
Start Time:   11:30
Speaker:  Nuno Lopes (CMAF, Univ. Lisboa)
Institution:  CMAF
Place:  Room 5.5
Research Groups: -Numerical Analysis and Optimization
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