Advances of the lattice Boltzmann methods (LBM) in tsunami modeling -present and future

Autor: Sato, K., Koshimura, S.
Rok vydání: 2023
Zdroj: XXVIII General Assembly of the International Union of Geodesy and Geophysics (IUGG)
DOI: 10.57757/iugg23-1502
Popis: The lattice Boltzmann method (LBM) is an alternative computational fluid dynamics to conventional approaches to solve macroscopic equations. Despite various successful applications in many engineering fields, the LBM for tsunami modeling is still under development. In this study, we present the recent advances of the LBM for tsunami modeling and discuss future development. Tsunami involves various scales of fluid dynamics. Therefore, tsunami simulation methods have to be a unified method that covers the whole process from its generation to inundation. To achieve this goal, we present and discuss (i) the three-dimensional (3D) nonstatic pressure free-surface model, (ii) the two-dimensional (2D) shallow water model, and (iii) the hybrid 2D-3D model by the LBM for tsunami modeling. First, we develop the volume of fluid (VOF) based free-surface model using the cumulant model in the 3D LBM. We demonstrate that the cumulant LBM accurately calculates the impact pressure acting on a structure in violent flow fields. Second, we develop a shallow water model by 2D LBM and apply it to simulate the 2011 tsunami off the Pacific coast caused by the Tohoku earthquake. We demonstrate that the 2D LBM reproduce the tsunami propagation and inundation with an accuracy equally as good as that of the finite difference method. Finally, we develop a coupling 2D-3D LBM method and apply it to dam-break flow. We demonstrate that the proposed method connects 2D and 3D models. Then, we conclude that the LBM is valuable for the unified tsunami modeling method and provide the future direction.
The 28th IUGG General Assembly (IUGG2023) (Berlin 2023)
Databáze: OpenAIRE