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A Lagrangian–Eulerian procedure for the coupled solution of the Navier–Stokes and shallow water equations for landslide-generated waves
Advanced Modeling and Simulation in Engineering Sciences Pub Date : 2022-07-30 , DOI: 10.1186/s40323-022-00225-9
Miguel Masó , Alessandro Franci , Ignasi de-Pouplana , Alejandro Cornejo , Eugenio Oñate

This work presents a partitioned method for landslide-generated wave events. The proposed strategy combines a Lagrangian Navier Stokes multi-fluid solver with an Eulerian method based on the Boussinesq shallow water equations. The Lagrangian solver uses the Particle Finite Element Method to model the landslide runout, its impact against the water body and the consequent wave generation. The results of this fully-resolved analysis are stored at selected interfaces and then used as input for the shallow water solver to model the far-field wave propagation. This one-way coupling scheme reduces drastically the computational cost of the analyses while maintaining high accuracy in reproducing the key phenomena of the cascading natural hazard. Several numerical examples are presented to show the accuracy and robustness of the proposed coupling strategy and its applicability to large-scale landslide-generated wave events. The validation of the partitioned method is performed versus available results of other numerical methods, analytical solutions and experimental measures.

中文翻译:

用于滑坡产生波的 Navier-Stokes 和浅水方程耦合解的 Lagrangian-Eulerian 程序

这项工作提出了滑坡产生的波浪事件的分区方法。所提出的策略将 Lagrangian Navier Stokes 多流体求解器与基于 Boussinesq 浅水方程的欧拉方法相结合。拉格朗日求解器使用粒子有限元方法来模拟滑坡跳动、其对水体的影响以及随之产生的波浪。这种完全解析的分析结果存储在选定的接口上,然后用作浅水求解器的输入,以模拟远场波传播。这种单向耦合方案大大降低了分析的计算成本,同时在再现级联自然灾害的关键现象时保持了高精度。给出了几个数值例子来展示所提出的耦合策略的准确性和鲁棒性及其对大规模滑坡产生的波浪事件的适用性。分区方法的验证与其他数值方法、解析解和实验测量的可用结果进行比较。
更新日期:2022-07-30
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