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... process. Results are on the whole satisfactory as the NS model allows capturing with a good phasing and topology the complex physics of the plunging process characterized by a rapid and large deformation of the interface. It can be noticed that a refinement of the mesh would likely improve the representation of the plunging wave crest sharpening. Fig. 4 displays an example of the NS model capability with a plunging wave simulation of splash-up and bubble entrainment ...
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... process. Results are on the whole satisfactory as the NS model allows capturing with a good phasing and topology the complex physics of the plunging process characterized by a rapid and large deformation of the interface. It can be noticed that a refinement of the mesh would likely improve the representation of the plunging wave crest sharpening. Fig. 4 displays an example of the NS model capability with a plunging wave simulation of splash-up and bubble entrainment ...
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Citations
... In these applications horizontal length scale is much greater than the vertical length scale, therefore shallow water description is adequate. its amplitude is still low, and wavelength is large, as discussed in [1], [4], [7]. ...
In this research free surface motion governed by the shallow water equations is considered. A numerical scheme based on the finite element method, which is incorporated in the open source FreeFEM, was used to simulate several wave phenomena. By carefully setting the corresponding initial condition as well as boundary conditions, several numerical computations were conducted. Numerical simulations presented here are standing wave in a closed basin, progressive wave over a flat bottom, as well as wave shoaling over a decreasing depth and wave refraction. In all cases above, the existing analytical formula are used to validate the numerical results. These computations suggest that explicit-implicit scheme is appropriate for varying water wave simulations.
... (a) Simulation numérique du déferlement d'une vague sur une plage. L'image provient de l'article de J. Camille et al [34]. ...
Le déferlement des vagues, qui se produit de l'océan vers la zone côtière, est un phénomène d'écoulement diphasique complexe qui joue un rôle important dans de nombreux processus, notamment sur le transfert de matière, de quantité de mouvement et d'énergie entre l'air et l'océan. Les récentes tentatives de modélisation se heurtent au manque de connaissances physiques des plus petits détails des processus de déferlement. En outre, aucune loi d'échelle universelle pour les variables physiques n'a été trouvée jusqu'à présent.Une méthode de préservation de la quantité de mouvement, basée sur des travaux récents de la littérature, a été développée pendant la thèse afin d'atteindre les plus fins détails du processus de déferlement pour les ondes capillo-gravitaires. Cette méthode réduit l'échange non physique de la quantité de mouvement entre deux fluides pendant la simulation, ce qui permet d'effectuer des simulations très précises de déferlement de vague. Cette méthode a été vérifiée sur des cas de vérification de la littérature et validée par des expériences réalisées en laboratoire, telles que l'impact d'une goutte d'eau sur une surface libre et le déferlement d'une vague plongeante sur une plage. Ces vérifications et validations confirment l'utilisation de la méthode développée lors de l'étude suivante sur le déferlement des vagues.Dans la littérature, la plupart des résultats expérimentaux et numériques ont été réalisés pour des vagues en eau profonde. L'étude se concentre sur l'influence de la profondeur sur la dynamique du déferlement. La géométrie de surface, les anneaux de vorticité sous-marins et l'énergie totale sont étudiés pour plus de 170 simulations précises du déferlement d'une vague de Stokes sur un fond plat. Les nombreux résultats des simulations ont permis la génération de carte de déferlements pour trois différentes profondeurs d'eau. Les types de déferlements plongeant et glissant ont été subdivisés en fonction des observations faites. Ainsi, les études réalisées au cours de la thèse ont permis d'accroître les connaissances sur le déferlement d'ondes capillo-gravitaires de profondeurs d'eau intermédiaires.
This study presents the development, refinement, and application of a 3-D multiphase flow model for the simulation of tsunami propagation on land and its hydrodynamic force on a coastal building. The model is based on the Volume/Surface Integrated Average-based Multi-Moment Method (VSIAM3) with improved accuracy by adopting the temporary moment (TM) method to update the non-normal flow variables. A third-order gradient approximation is chosen for the reconstruction of an interpolation profile in the CIP-CLS3 advection solver to further reduce numerical diffusion and suppress numerical oscillation. The moving interface between air-water is captured by using the volume of fluid (VOF) method. The Tangent of Hyperbola for Interface Capturing (THINC) scheme is used to reproduce a sharp and smear-less air-water interface. The model performance improved by as much as 16% in the estimation of impact force on the downstream wall in the dam-break flow benchmarking problem by refining the original VSIAM3 model. The robustness of the model is further demonstrated by the accurate reproduction of tsunami wave propagation speed and its hydrodynamic pressures on a single box-shaped obstacle. The wave-induced pressures on the front face of the obstacle are accurately reproduced, with a maximum of 10% difference compared with the hydraulic experimental results. Thus, the study shows that the overall robustness and hydrodynamic performance of the model can be improved by refining the original model.
