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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01 Jan 2012
TL;DR: This paper proposes a meshless method --- Local Radial Basis Point Interpolation Method (LRPIM) to carry out the simulation of plastic thin shell, and it guarantees that the moment matrix is nonsingular without any other assistance.
Abstract: We present a meshless method for local deformation and crack simulation of plastic thin shell. Although previous meshless methods have done the similar simulations, there exists a problem that the moment matrix will be singular when the simulation points are co-planar or co-linear. The consequence is that the shape function cannot be constructed to finish the simulation and special work is needed to deal with the problem. In this paper, we propose a meshless method --- Local Radial Basis Point Interpolation Method (LRPIM) to carry out the simulation. The shape function is constructed using the radial basis function (RBF) and polynomial basis function, and it guarantees that the moment matrix is nonsingular without any other assistance. Results show that our method is feasible and effective.
01 Jan 2006
TL;DR: This paper describes the 3D animation system for the free mesh method, which is intended to be a post-processor for dynamic phenomena.
Abstract: In recent years, the performance of computer has been improved dramatically. Numerical or computation technology is also developing greatly with the above improvement in the performance of computer. On the other hand, the objects for the analysis become more and more complicated. To deal with the large-scale and complex problems, new approach called the meshless method has been actively studied. The Free Mesh Method is one of the meshless methods, which can solve the complicated phenomenon that the body is dynamically fragmented. In order to animate such an analysis result, this paper describes the 3D animation system for the free mesh method, which is intended to be a post-processor for dynamic phenomena.
TL;DR: The Moving Least Squares (MLS) Difference Method has merits of Meshfree Method and Finite Difference Method and it provides node-based fast solution procedure and is adequate for 2D transient solid problems which usually require heavy computation.
01 Jan 2008
TL;DR: In this article, the connection of finite volume methods to thermodynamics of discrete systems is discussed and a connection between the two methods and the thermodynamic properties of the system is shown.
Abstract: For numerical calculations in continuum physics partial differential equations and the space-time are discretized. This can be done in different ways. Common approaches are finite difference methods and finite element methods, more rarely finite volume methods are used. Each method has different mathematical properties, which have been discussed in the literature, but they also imply a different physical meaning. This issue is discussed in this article and the connection of finite volume methods to thermodynamics of discrete systems is shown.