Topic
Meshfree methods
About: Meshfree methods is a research topic. Over the lifetime, 2216 publications have been published within this topic receiving 69596 citations.
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Dissertation•
01 Apr 2013
TL;DR: In this paper, the authors investigated the capability of smoothed particle hydrodynamics (SPH) method for fluid-rigid body interactions and found that the performance of SPH method is affected by a number of modelling parameters including the choice of kernel functions, smoothing length, total number of particles and time step size.
Abstract: The aim of this project is to investigate the capability of smoothed particle hydrodynamics (SPH) method for fluid-rigid body interactions. SPH is one of the most widely used meshless methods which use particles to represent the system. The fluid is assumed either slightly compressible so weakly compressible SPH (WCSPH) is applied or truly incompressible so incompressible SPH method (ISPH) is adopted. The performance of SPH method is affected by a number of modelling parameters including the choice of kernel functions, smoothing length, total number of particles and time step size. Investigations of the effect of these parameters were conducted using one dimensional cases and the results show that smoothing length and the total number of particles can influence the accuracy significantly but other parameters are less important. In order to generate the model efficiently and maintain accuracy an appropriate boundary treatment is important. Two boundary treatments are investigated for ISPH method. Although these two boundary treatments have been used in WCSPH, they have not been used in ISPH method in the literature. They are easier to use for complicated engineering situations related to fluid structure interaction problems compared with the traditionally used ghost particles. Two approaches for solving Poisson’s equation of ISPH method are studied including the implicit solution approach and explicit solution approach. A new method is developed for multi-phase flow by combining WCSPH method and truly ISPH method to study the effect from air pressure. Within this method the compressibility of air and incompressibility of water can be retained. Based on these studies, algorithms for fluid rigid-body interaction in 2 dimensional and 3 dimensional cases have been developed to simulate the general engineering problems related to fluid rigid body interactions.
9 citations
TL;DR: In this article, the maximum entropy mesh-free (MEM) method is employed for analyzing geotechnical problems involving material nonlinearity, assuming small strains, and the efficiency of the MEM method is evaluated through several solution schemes for the global governing equations as well as the local constitutive equations.
9 citations
TL;DR: This paper considers a numerical simulation of torsional experiment and identification of elastoplastic properties of materials in such a test and applies the virus optimization algorithm, which shows very good accuracy of the proposed approach.
Abstract: In the paper, we consider a numerical simulation of torsional experiment and identification of elastoplastic properties of materials in such a test. The former is a direct problem. We consider a nonlinear boundary value problem, which is solved by means of the method of fundamental solutions and global radial basis function collocation method. The latter is an inverse problem, in which elastoplastic properties of materials are unknown. In order to solve it, we treat it as an optimization problem. We define an error between the measurements from torsional experiment and the results of simulations. To identify the parameters, we apply the virus optimization algorithm. The results show very good accuracy of the proposed approach.
9 citations
TL;DR: A virtual boundary meshless least square collocation method is developed for calculation of two-dimensional multi-domain elastic problems and leads to faster convergence and higher accuracy in comparison with the other methods considered in this study.
Abstract: A virtual boundary meshless least square collocation method is developed for calculation of two-dimensional multi-domain elastic problems in this paper. This method is different from the conventional virtual boundary element method (VBEM) since it incorporates the point interpolation method (PIM) with the compactly supported radial basis function (CSRBF) to approximately construct the virtual source function of the VBEM. Consequently, this method has the advantages of boundary-type meshless methods. In addition, it does not have to deal with singular integral and has the symmetric coefficient matrix, and the pre-processing operation is also very simple. This method can be used to analyze multi-domain composite structures with each subdomain having different materials or geometries. Since the configuration of virtual boundary has a certain preparability, the integration along the virtual boundary can be carried out over the smooth simple curve that can be structured beforehand (for 2D problems) to reduce the complicity and difficulty of calculus without loss of accuracy, while “Vertex Question” existing in BEM can be avoided. In the end, several numerical examples are analyzed using the proposed method and some other commonly used methods for verification and comparison purposes. The results show that this method leads to faster convergence and higher accuracy in comparison with the other methods considered in this study.
9 citations
TL;DR: In this article, a cavity-volume-based path-following method is proposed for cardiac mechanics problems, which is able to account for an arbitrary number of simultaneously acting loading conditions.
9 citations