Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 18 of 18 for “"Meshfree"”.
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Meshfree Modelling of Hyperelastic Mechanics
… in this thesis, we are motivated to use a meshfree method to simulate large deformations of hyperelastic mechanics without the dependency of a body mesh. The thesis then explores some of the challenges faced by meshfree methods currently and further developing and maturing its strengths of …
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Solution of the Fokker-Planck Equation by Sequentially Optimized Meshfree Approximation
… by applica- tion of the Sequentially Optimized Meshfree Approximation (SOMA) method. It is well known that numerical solution of the Fokker-Planck equation is made di cult by the challenges of positivity enforcement, in nite domain, and high dimensionality. Through the use of optimization, …
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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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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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An analysis of extracting cross sections from heritage site point clouds using meshfree point-based techniques
In the digital age cultural heritage has evolved to incorporate 3D virtual models of heritage buildings and sites. It is common to use laser scanning to acquire the 3D point cloud data for these models, with this data usually being processed and “meshed” to form a surface mesh model, however, this …
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Smoothed Particle Hydrodynamic Modeling of Solid State Additively Manufactured Aluminum Alloys
… severe deformation. One solution is to use a meshfree framework, such as smoothed particle hydrodynamics (SPH), which better handles large deformation processes. This work aims to create a meshfree framework, improve it, and utilize it to better understand AFS-D and provide predictive power to …
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Simulating large deformation processes using an explicit element-free Galerkin method: with applications to material forming
… problem. In response to these issues, so-called meshfree methods have been developed. Despite twenty years of progress in meshfree technology, the application of these techniques to real-world applications is limited. This thesis aims to further widen the application of meshfree methods to …
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Comparison of Mesh and Meshless Methods for Partial Differential Equations of Galerkin Form
… methods for a hybrid method.</p> <p>The mesh and meshfree methods will be studied from a theoretical framework. From this framework, a computational program will be implemented for mesh, meshfree and the hybrid method. The program will produce the domain and the solution of the problem graphically …
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Novel Bioinspired Pumping Models for Microscale Flow Transport
… study, both theoretical analysis and Stokeslets-meshfree computational methods are used to solve for the 2D and 3D viscous flow transport in several micro-geometries (tubes, channels and networks) with prescribed moving wall contractions. The derived theoretical analysis is based on both …
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NOVEL NUMERICAL PROCEDURES FOR LIMIT ANALYSIS OF STRUCTURES: MESH-FREE METHODS AND MATHEMATICAL PROGRAMMING
… developed. The naturally conforming property of meshfree approximations (with no nodal connectivity required) facilitates the implementation of h-adaptivity. The error in the computed displacement field was estimated accurately using the Taylor expansion technique. A stabilised conforming nodal …
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Improvements of MPM and Its Applications in Modelling Rapid Soil/Water Movements
… 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. Since, in MPM the background mesh is used only for solving …
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Improving the Material Point Method
… to improving MPM by combining ideas from meshfree particle methods and finite element methods. Such an approach provides a general framework for improving MPM. Not only has the framework produced the improved material point method (IMPM), but it can also be used to improve existing …
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The capillary interaction between objects at liquid interfaces
… using the hp–Meshless Cloud method, which is a meshfree finite difference method. This solves the nonlinear Laplace-Young equation without any approximations. First a system is considered where circular cylinders are immersed in a liquid. The meniscus shape is determined, and the force of …
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MPM study of water wave interaction with porous seawalls
… can be applied directly at the nodes, unlike in meshfree methods such as SPH where boundary conditions must be applied to a series of "boundary particles", which much first be identified. In single-point MPM, both the liquid and solid velocity fields are tracked by a single material point. The …
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Efficient solution of the Fokker-Planck Equation via smooth particle hydrodynamics for nonlinear estimation
… modifies the Smooth Particle Hydrodynamics (SPH) meshfree method in order to rigorously assess its accuracy in simulating up to four state Fokker-Planck equations and explore its suitability for scaling further into higher dimensions. Due to the different potential applications of transient FPE …
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Development of mesh-free methods and their applications in computational fluid dynamics
The recent decade has witnessed a research boom on the mesh-free methods. It is well-known that the mesh-free method has a few clear advantages over the mesh-based method such as the requirement of node generation instead of mesh generation and easy deletion/insertion of new nodes. Up to date, a …
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Accelerating a Coupled SPH-FEM Solver through Heterogeneous Computing for use in Fluid-Structure Interaction Problems
This work presents a partitioned approach to simulating free-surface flow interaction with hyper-elastic structures in which a smoothed particle hydrodynamics (SPH) solver is coupled with a finite-element (FEM) solver. SPH is a mesh-free, Lagrangian numerical technique frequently employed to study …
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Computing Eigenmodes of Elliptic Operators on Manifolds Using Radial Basis Functions
<p>In this work, a numerical approach based on meshless methods is proposed to obtain eigenmodes of Laplace-Beltrami operator on manifolds, and its performance is compared against existing alternative methods. Radial Basis Function (RBF)-based methods allow one to obtain interpolation and …