An improved class of Boussinesq systems of fourth order, using wave elevation and velocitypotential formulation is derived. Dissipative effects and wave generation due to timedependent varying sea bed are included. Thus, high-order source functions are considered.With the inclusion of an extra O(h_0^6) term in the velocity potential expansion, with h0the constant part of the depth h = h_0 + h_1(x; y; t), we are able to reduce the systemorder maintaining some dispersive characteristics of the higher-order ones. We introducea nonlocal continuous/discontinuous Galerkin finite element method (C/DG-FEM) withinner penalty terms to approximate the solutions of the fourth-order models. Improved stabilityis achieved. To demonstrate the applicability of the model, several test cases are considered.
|Title of host publication||Proceedings of the V European Conference on Computational Fluid Dynamics ECCOMAS CFD 2010|
|Publication status||Published - 1 Jan 2010|
|Event||V European Conference on Computational Fluid Dynamics ECCOMAS CFD 2010 - |
Duration: 1 Jan 2010 → …
|Conference||V European Conference on Computational Fluid Dynamics ECCOMAS CFD 2010|
|Period||1/01/10 → …|
Campos, L. M. T. D. (2010). A C/DG-FEM Solution of an Improved Boussinesq System for Surface Water Waves. In Proceedings of the V European Conference on Computational Fluid Dynamics ECCOMAS CFD 2010 (pp. 1-20)