The Lattice Boltzmann Method (LBM) is promising for studies on Tsunami inundation. In this work, a Lattice Boltzmann Model for non-linear Shallow-Water Equations with a Turbulence Modeling​ (LABSWE${}^{\mathrm{TM}}$) was developed to consider the turbulence and non-Newtonian fluid behavior of tsunami flow. This involves incorporating the Sisko viscosity model into the lattice Boltzmann equation. By using the LABSWE${}^{\mathrm{TM}}$ – Sisko Model, a two-dimensional simulation was carried out to model and predict the tsunami waves at Kuala Teriang, Langkawi, Kedah, Malaysia. In addition, the thin film method was utilized to model the wetting and drying of the tsunami run-up. The numerical results were found to be consistent with the corresponding experimental data extracted from literature, which demonstrated that the LABSWE${}^{\mathrm{TM}}$ – Sisko Model was a feasible solution for the simulation of tsunami waves inundation. Moreover, the study showed that the tsunami inundation can occur over a very long distance, and with the increasing threat in the rise of the inundated water level.

格子玻尔兹曼方法（LBM）有望用于海啸淹没的研究。在这项工作中，采用湍流建模的非线性浅水方程的格子Boltzmann模型（LABSWE${}^{\mathrm{TM值}}$）是为了考虑海啸流的湍流和非牛顿流体行为而开发的。这涉及将Sisko粘度模型合并到晶格Boltzmann方程中。通过使用LABSWE${}^{\mathrm{TM值}}$– Sisko模型，在马来西亚吉打州兰卡威的瓜拉丁加仑进行了二维模拟，以建模和预测海啸。另外，薄膜方法被用来模拟海啸上升的润湿和干燥。发现数值结果与从文献中提取的相应实验数据一致，这证明了LABSWE${}^{\mathrm{TM值}}$– Sisko模型是模拟海啸淹没的可行解决方案。此外，研究表明，海啸淹没可能发生在很长的距离上，并且随着淹没水位上升的威胁越来越大。