A shallow water model for the propagation of tsunami via Lattice Boltzmann method

2nd International Conference on Geological, Geographical, Aerospace and Earth Sciences 2014

Zergani, Sara^1 ; Aziz, Z.A.^1 ; Viswanathan, K.K.^1

Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Johor, Johor Bahru

81310, Malaysia^1

关键词: Complex geometries;    Efficient implementation;    Lattice Boltzmann method;    Lattice boltzmann methods (LBM);    Nonlinear shallow water;    Numerical procedures;    Numerical results;    Shallow water model;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/23/1/012007/pdf
DOI  :  10.1088/1755-1315/23/1/012007

来源: IOP

【 摘 要 】

An efficient implementation of the lattice Boltzmann method (LBM) for the numerical simulation of the propagation of long ocean waves (e.g. tsunami), based on the nonlinear shallow water (NSW) wave equation is presented. The LBM is an alternative numerical procedure for the description of incompressible hydrodynamics and has the potential to serve as an efficient solver for incompressible flows in complex geometries. This work proposes the NSW equations for the irrotational surface waves in the case of complex bottom elevation. In recent time, equation involving shallow water is the current norm in modelling tsunami operations which include the propagation zone estimation. Several test-cases are presented to verify our model. Some implications to tsunami wave modelling are also discussed. Numerical results are found to be in excellent agreement with theory.