A Lagrangian–Eulerian procedure for the coupled solution of the Navier–Stokes and shallow water equations for landslide-generated waves

• Published in: Advanced modeling and simulation in engineering sciences Vol. 9; no. 1; pp. 1 - 22
• Main Authors: Masó, Miguel, Franci, Alessandro, de-Pouplana, Ignasi, Cornejo, Alejandro, Oñate, Eugenio
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 30.07.2022; Springer Nature B.V; Springer; SpringerOpen
• Series: Recent Advances in hypercomplex disaster simulations
• Subjects: Accuracy; Boussinesq equations; Classical and Continuum Physics; Coasts; Computational Science and Engineering; Cost analysis; Coupling; Engineering; Engineering Sciences; Exact solutions; Far fields; Finite element analysis; Finite element method; Fluid flow; Free-surface flows; Landslide; Landslides; Landslides & mudslides; Mathematical models; Methods; Navier-Stokes equations; Numerical analysis; Numerical methods; Particle finite element method; Propagation; Recent Advances in hypercomplex disaster simulations; Research Article; Robustness (mathematics); Shallow water; Shallow water equations; Simulation; Solvers; Theoretical and Applied Mechanics; Tsunami; Tsunamis; Wave generation; Wave propagation; Finite element method; Landslide generated wave; Tsunami; Landslide; Free-surface flows; Shallow water; Particle finite element method
• ISSN: 2213-7467; 2213-7467
• DOI: 10.1186/s40323-022-00225-9

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.