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An unstructured finite volume numerical scheme for extended Boussinesq-type equations for irregular wave propagation
| hal.structure.identifier | Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM] | |
| dc.contributor.author | KAZOLEA, Maria | |
| hal.structure.identifier | School of Production Engineering & Management | |
| dc.contributor.author | DELIS, Argiris I. | |
| dc.date.accessioned | 2024-04-04T03:17:59Z | |
| dc.date.available | 2024-04-04T03:17:59Z | |
| dc.date.conference | 2015-04-01 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194359 | |
| dc.description.abstractEn | The interplay between low and high frequency waves is groundwork for the near-shore hydrodynamics for which Boussinesq-type (BT) equations are widely applied dur- ing the past few decades to model the waves’s propagation and transformations. In this work, the TUCWave code is vali- dated with respect to the propagation, transformation, breaking and run-up of irregular waves. The main aim is to investigate the ability of the model and the breaking wave parametriza- tions used in the code to reproduce the nonlinear properties of the waves in the surf zone. The TUCWave code numer- ically solves the 2D BT equations of Nwogu (1993) on un- structured meshes, using a novel high-order well-balanced fi- nite volume (FV) numerical scheme following the median dual vertex-centered approach. The BT equations are recast in the form of a system of conservation laws and the conservative FV scheme developed is of the Godunov-type. The approxi- mate Riemann solver of Roe for the advective fluxes is utilized along with a well-balanced topography source term upwinding and accurate numerical treatment of moving wet/dry fronts. The dispersion terms are discretized using a consistent, to the FV framework, discretization and the friction stresses are also included. High-order spatial accuracy is achieved through a MUSCL-type reconstruction technique and temporal through a strong stability preserving Runge-Kutta time stepping. Wave breaking mechanism have also been developed and incorpo- rated into the model. TUCWave code is applied to bench- mark test cases and real case scenarios where the shoaling and breaking of irregular waves is investigated. | |
| dc.language.iso | en | |
| dc.subject.en | Boussinesq type equations | |
| dc.subject.en | irregular waves | |
| dc.subject.en | finite volume | |
| dc.subject.en | unstructured meshes | |
| dc.title.en | An unstructured finite volume numerical scheme for extended Boussinesq-type equations for irregular wave propagation | |
| dc.type | Communication dans un congrès | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.conference.title | The Ninth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory | |
| bordeaux.country | US | |
| bordeaux.conference.city | Athenes, GA | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01168949 | |
| hal.version | 1 | |
| hal.invited | non | |
| hal.proceedings | oui | |
| hal.conference.end | 2015-04-04 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01168949v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=KAZOLEA,%20Maria&DELIS,%20Argiris%20I.&rft.genre=unknown |
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