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Showing 1 to 8 of 8 for “"meshfree methods"”.
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Simulating large deformation processes using an explicit element-free Galerkin method: with applications to material forming
Computational methods are widely utilised in engineering to obtain the response of components and structures under loading. In the pioneering years, modest computational power limited the application of these computational techniques to relatively simple problems. However, with the substantial …
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Meshfree Modelling of Hyperelastic Mechanics
… challenges when simulated using mesh-based methods, notably the finite element method. Firstly, the computational modeler is required to fit a mesh to the body of interest, which is a tedious and time-consuming process. Secondly, these meshes are typically simplex shapes and therefore can …
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A meshfree method for the Poisson equation with 3D wall-bounded flow application
… unstructured mesh-based approaches are used. Meshfree methods present a way to approximate differential operators on unstructured point clouds without the need for mesh generation. In this thesis, a 3d meshfree finite difference Poisson solver is presented. Its performance has been studies …
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Improvements of MPM and Its Applications in Modelling Rapid Soil/Water Movements
… development of computer-aided simulation methods which generally fall into mesh-based methods and meshfree methods. The material point method (MPM), one of the latest developments of meshfree methods, was first utilised in the analysis of large deformation problems in solid mechanics. …
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Comparison of Mesh and Meshless Methods for Partial Differential Equations of Galerkin Form
… purpose is to compare two types of Galerkin methods: The finite element mesh method and moving least sqaures meshless Galerkin (EFG) method. The second purpose of this project is to determine if a hybrid between the mesh and meshless method is beneficial.</p> <p>This manuscript will be …
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Vibration and Buckling Analysis of Unitized Structure Using Meshfree Method and Kriging Model
… for experimental validation of the Ritz and meshfree methods of vibration mode shape predictions. Results were obtained for this panel mounted vertically to a steel clamping bracket using acoustic excitation and a laser vibrometer. Experimental results appear to correlate well with the …
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MPM study of water wave interaction with porous seawalls
… the Material Point Method (MPM). Traditional methods for ascertaining the stability of protective barriers have used small-scale physical models, however, these are expensive and have been shown to suffer from scaling problems. Numerical methods are therefore gaining popularity in flood risk …
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Efficient solution of the Fokker-Planck Equation via smooth particle hydrodynamics for nonlinear estimation
… This is especially true for sampling based methods that, while robust and often very simple to implement, quickly become computationally cost ineffective in many applications. Parametric models are usually able to scale far more efficiently as state dimension increases, but they are often …