A multi-resolution moving particle semi-implicit (MPS) method is applied into two-dimensional (2D) free surface flows based on our in-house particle solver MLParticle-SJTU in the present work. Considering the effect of different size particles, both the influence radiuses of two adjacent particles are replaced by the arithmetic mean of their interaction radiuses. Then the modifications for kernel function of differential operator models are derived, respectively. In order to validate the present multi-resolution MPS method, two cases are carried out. Firstly, a hydrostatic case is performed. The results show that the contour of pressure field by multi-resolution MPS is quite in agreement with that by single resolution MPS. Especially, the multi-resolution MPS can still provide a relative smooth pressure together with the single resolution MPS in the vicinity of the interface between the high resolution and low resolution particles. For a long time simulation, the kinetic energy of particles by multi-resolution MPS can decrease quickly to the same level as that of single resolution MPS. In addition, a 2D dam breaking flow is simulated and the multi-resolution case can run stably during the whole simulation. The pressure by the multi-resolution MPS is in agreement with experimental data together with single resolution MPS. The contour of pressure field by the former is also similar to that by the later. Finally, the simulation by multi-resolution MPS is as accurate as the traditional MPS with fine particles distributed in the whole domain and the corresponding CPU time can be reduced.

Zhenyuan Tang

Youlin Zhang

Decheng Wan

International Journal of Computational Methods

该杂志的目的是提供一个独特的论坛，以快速发表和传播有关计算方法最新技术的原始研究成果和创新思想。方法应具有创新性，具有较高的学术、学术和实用价值。该杂志致力于现代计算方法的各个方面，包括数学公式和理论研究；插值和逼近技术；误差分析技术和算法；快速算法和实时计算；多尺度桥接算法；自适应分析技术和算法；实现、编码和并行化问题；新的和实际的应用。文章可以涉及理论、算法、编程、编码、数值模拟和/或计算技术的新应用工程、科学和其他与计算相关的学科。该期刊涵盖的领域示例有：固体和结构的计算力学、计算流体动力学、计算传热、计算逆问题、计算数学、计算中观/微/纳米力学、计算生物学、计算渗透力学、无网格方法、粒子方法，分子和量子方法，高级有限元方法，高级有限差分方法，高级有限体积方法，高性能计算技术。

The International Journal of Computational Methods aims to provide a unique platform for the rapid publication and dissemination of original research findings and innovative ideas related to the latest technologies in computational methods. The methods employed should be innovative and possess high academic and practical value. This journal is dedicated to all aspects of modern computational methods, including mathematical formulations and theoretical research, interpolation and approximation techniques, error analysis techniques and algorithms, fast algorithms and real-time computing, multiscale bridging algorithms, adaptive analysis techniques and algorithms, implementation, coding, and parallelization issues, as well as new and practical applications. Articles may cover new applications of theory, algorithms, programming, coding, numerical simulations, and computational techniques in engineering, science, and other computation-related disciplines. Examples of fields covered by this journal include computational mechanics of solids and structures, computational fluid dynamics, computational heat transfer, computational inverse problems, computational mathematics, computational meso/micro/nano mechanics, computational biology, computational permeation mechanics, meshless methods, particle methods, molecular and quantum methods, advanced finite element methods, advanced finite difference methods, advanced finite volume methods, and high-performance computing technologies.

《International Journal of Computational Methods》旨在提供一个独特的平台，以快速发表和传播关于计算方法最新技术的原创研究成果和创新思想。所采用的方法应具有创新性，并具备较高的学术和实用价值。该期刊致力于现代计算方法的各个方面，包括数学公式与理论研究、插值与逼近技术、误差分析技术与算法、快速算法与实时计算、多尺度桥接算法、自适应分析技术与算法、实现、编码与并行化问题，以及新的实际应用。文章可以涉及理论、算法、编程、编码、数值模拟和计算技术在工程、科学及其他与计算相关学科中的新应用。该期刊涵盖的领域示例包括：固体与结构的计算力学、计算流体动力学、计算传热、计算逆问题、计算数学、计算中观/微/纳米力学、计算生物学、计算渗透力学、无网格方法、粒子方法、分子与量子方法、高级有限元方法、高级有限差分方法、高级有限体积方法以及高性能计算技术。

Category	Quartile
工程技术	4
工程技术, 工程综合	4
工程技术, 数学跨学科应用	4

Multi-Resolution MPS Method for Free Surface Flows

ivySCI AI Smartly Parses PDF, Answers Researchers' Questions, and Helps You Understand Papers in Seconds

Journal Info

Category	Quartile
MATHEMATICS, INTERDISCIPLINARY APPLICATIONS	3