Numerical simulation of 3D violent free-surface flows by multi-resolution MPS method

Abstract

3D violent free-surface flows are modelled by multi-resolution moving particle semi-implicit (MPS) method. Firstly, a 2D dam-break flow with an obstacle is performed. This shows that multi-resolution MPS can provide the integrated and clear shape of free surface as that by universally fine (Uni-Fine) with high-resolution particles in the entire domain. Then the multi-resolution MPS method is employed to carry out 3D violent free-surface flows, including dambreak and water entry. In the dam-break case, a relative rational pressure field can be provided and the predicted impact pressures are also compared with experimental data. In the 3D water entry case, the present method can capture complex phenomena including largely free-surface deformations and splashing. The penetration depth of the cylinder is also close to experimental data.

Improving stability of moving particle semi-implicit method by source terms based on time-scale correction of particle-level impulses

“…Extension for multi-resolution MPS techniques (Chen et al, 2016;Tang et al, 2016;Shibata et al, 2017;Tanaka et al, 2018;, in which high-resolution is used only near the local critical areas, while low-resolution is used in the far-field, should also be evaluated with respect to adaptivity and versatility of our code and is left for future studies.…”

On the state-of-the-art of particle methods for coastal and ocean engineering

“…As for application of multi-resolution schemes in projection-based particle methods, Tsuruta et al [2016] developed a multi-resolution scheme for implementation of MPS-based model on sets of particles with multi-scale refinements. Tang et al [2016] developed improved multi-resolution scheme by utilizing averaged influence length as well as employing a modification parameter in weight averaging process. Shibata et al [2017] proposed overlapping particle technique, based on which separated domains of high and low resolutions were connected to each other by considering an overlapping region.…”

Accuracy analysis of different higher-order Laplacian models of incompressible SPH method

“…As mentioned previously, adaptive refinement strategies leading to multi-resolution node distributions have been extensively applied to enhance numerical accuracy or reduce the computational cost for many different engineering problems. To the author's knowledge, few research studies have been accomplished for Lagrangian simulation of free surface flows using adaptive refinement strategies (Afshar and Shobeyri, 2010;Shobeyri and Afshar, 2012;Tang et al, 2016). Figure 21 compares the numerical errors of the Laplacian models for the multi-resolution node distributions given in Figure 14.…”