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

Mohammad Amin Nabian,Leila Farhadi

doi:10.3390/w11071349

Mohammad Amin Nabian, Leila Farhadi

Open Access

https://doi.org/10.3390/w11071349

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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.

Highlights

It is well known that the complexity of free-surface flows differs significantly depending on the flow region
Besides the efficiency of multi-resolution simulation of fluid flow, it is sometimes necessary to make the Computational Fluid Dynamics (CFD) codes capable of handling the boundaries or external objects in an extremely higher resolution compared to the resolution of fluid flow; for instance, this often happens in simulations of fluid-structure interaction and flow in vegetated channels (e.g., [1])
We aim to extend the WC-Moving-Particle Semi-Implicit (MPS) formulation for a multi-resolution simulation of fluid flow to benefit from the Weakly Compressible MPS (WC-MPS) advantages over the MPS advantages in the multi-resolution settings

Summary

Introduction

It is well known that the complexity of free-surface flows differs significantly depending on the flow region. Besides the efficiency of multi-resolution simulation of fluid flow, it is sometimes necessary to make the Computational Fluid Dynamics (CFD) codes capable of handling the boundaries or external objects in an extremely higher resolution compared to the resolution of fluid flow; for instance, this often happens in simulations of fluid-structure interaction and flow in vegetated channels (e.g., [1]). If the simulation is performed in single resolution, to model the boundaries or external objects in their actual dimensions, extremely fine discretization of the entire spatial domain is necessary. This demands massive use of computational resources, which is often not affordable. By using a multi-resolution technique, the restrictions on the size of the particles representing objects or boundaries could be satisfied while the fluid flow is simulated in a manageable resolution

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