MR-WC-MPS: A Multi-Resolution WC-MPS Method for Simulation of Free-Surface Flows

Abstract

A Multi-Resolution Weakly Compressible Moving-Particle Semi-Implicit (MR-WC-MPS) method is presented in this paper for simulation of free-surface flows. To reduce the computational costs, as with the multi-grid schemes used in mesh-based methods, there is also a need in particle methods to efficiently capture the characteristics of different flow regions with different levels of complexity in different spatial resolutions. The proposed MR-WC-MPS method allows the use of particles with different sizes in a computational domain, analogous to multi-resolution grid in grid-based methods. To evaluate the accuracy and efficiency of the proposed method, it is applied to the dam-break and submarine landslide tests. It is shown that the MR-WC-MPS results, while about 15% faster, are in good agreement with the conventional single-resolution MPS results and experimental results. The remarkable ability of the MR-WC-MPS method in providing robust savings in computational time for up to 60% is then shown by applying the method for simulation of extended submarine landslide test.

A Multi-Resolution MPS/FEM Coupling Method for Three-Dimensional Fluid–Structure Interaction Analysis

“…This work advocates the use of the explicit MPS method due to its simplicity and efficiency. Though the MPS method is promising in simulating fluid flows with free surfaces and large displacement, one of the key remaining issues concerns the low computational efficiency [28,29], which limits its applications in large-scale problems. The main reason is that the particle resolution must be sufficiently precise to yield satisfactory numerical results.…”

“…Furthermore, the generating and merging of particles are time consuming, especially when the interface of different-resolution regions is large. A simple yet efficient treatment that needs to be mentioned is to set fluid domains of interest as non-fixed, which can be called the multi-scale particle method, where particles of different resolutions are discretized prior to calculations [28,50,51]. In such a numerical treatment, particle sizes remain unchanged during simulations, and there are no splitting/merging processes.…”