Publication
A numerical analysis of generalized Boussinesq-type equation using continuos/discontinuous FEM
| dc.contributor.author | Lopes, Nuno David | |
| dc.contributor.author | Pereira, P. J. S. | |
| dc.contributor.author | Trabucho, L. | |
| dc.date.accessioned | 2015-09-10T09:33:23Z | |
| dc.date.available | 2015-09-10T09:33:23Z | |
| dc.date.issued | 2012-07 | |
| dc.description.abstract | An improved class of Boussinesq systems of an arbitrary order using a wave surface elevation and velocity potential formulation is derived. Dissipative effects and wave generation due to a time-dependent varying seabed are included. Thus, high-order source functions are considered. For the reduction of the system order and maintenance of some dispersive characteristics of the higher-order models, an extra O(mu 2n+2) term (n ??? N) is included in the velocity potential expansion. We introduce a nonlocal continuous/discontinuous Galerkin FEM with inner penalty terms to calculate the numerical solutions of the improved fourth-order models. The discretization of the spatial variables is made using continuous P2 Lagrange elements. A predictor-corrector scheme with an initialization given by an explicit RungeKutta method is also used for the time-variable integration. Moreover, a CFL-type condition is deduced for the linear problem with a constant bathymetry. To demonstrate the applicability of the model, we considered several test cases. Improved stability is achieved. | por |
| dc.identifier.citation | LOPES, N. D.; PEREIRA, P. J. S., TRABUCHO, L. – A numerical analysis of generalized Boussinesq-type equation using continuos/discontinuous FEM. International Journal for Numerical Methods in Fluids. ISSN: 0271-2091. Vol. 69, nr. 7 (2012), pp. 1186-1218 | por |
| dc.identifier.doi | 10.1002/fld.2631 | |
| dc.identifier.issn | 0271-2091 | |
| dc.identifier.uri | http://hdl.handle.net/10400.21/5129 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Wiley-blackwell | por |
| dc.relation | Fundação para a Ciência e Tecnologia, Financiamento Base 2008-ISFL-1-209 | |
| dc.subject | Boussinesq Equations | por |
| dc.subject | Surface Water Waves | por |
| dc.subject | Differential Operators | por |
| dc.subject | Asymptotic Analysis | por |
| dc.subject | Continuous | por |
| dc.subject | Discontinuous FEMs | por |
| dc.subject | Predictor-Corrector and Runge-Kutta Schemes | por |
| dc.title | A numerical analysis of generalized Boussinesq-type equation using continuos/discontinuous FEM | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 1218 | por |
| oaire.citation.issue | 7 | por |
| oaire.citation.startPage | 1186 | por |
| oaire.citation.title | International Journal for Numerical Methods in Fluids | por |
| oaire.citation.volume | 69 | por |
| rcaap.rights | closedAccess | por |
| rcaap.type | article | por |
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