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Showing 1 to 20 of 52 for “"meshless"”.
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A Meshless Approach to Computational Pharmacokinetics
<p>The meshless method is an incredibly powerful technique for solving a variety of problems with unparalleled accuracy and efficiency. The pharmacokinetic problem of transdermal drug delivery (TDDD) is one such topic and is of significant complexity. The locally collocated meshless method (LCMM) …
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Collocation Based Meshless Methods for Microelectromechanical Systems
After the theoretical study of the meshless methods, the FCM and boundary cloud method (BCM) were applied to solve the fluid flow in the MEMS devices. Combining the fluid flow module with the solver for the Poisson and Nernst-Planck (PNP) equations, a tool for the simulation of ion transport in the …
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Meshless hydrodynamic simulations of young supernova remnants
… i.e., new Lagrangian Godunovtype schemes, e.g., Meshless Finite Volume (MFV) and Meshless Finite Mass (MFM), as well as various flavors of smoothed particle hydrodynamics (SPH), or Eulerian fixed-grid schemes. Since the majority of previous studies used the latter, we focused on an extensive …
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Meshless Direct Numerical Simulation of Turbulent Incompressible Flows
A meshless direct pressure-velocity coupling procedure is presented to perform Direct Numerical Simulations (DNS) and Large Eddy Simulations (LES) of turbulent incompressible flows in regular and irregular geometries. The proposed method is a combination of several efficient techniques found in …
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Automated Adaptive Data Center Generation For Meshless Methods
Meshless methods have recently received much attention but are yet to reach their full potential as the required problem setup (i.e. collocation point distribution) is still significant and far from automated. The distribution of points still closely resembles the nodes of finite volume-type meshes …
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Meshless Discrete Velocity Boltzmann Model for Porous Media Flow
… equation (DVBE) and the localized collocation meshless model with upwinding (U-LCMM). The DVBE is a high-level model that describes the foundations of transport phenomena by addressing the microscale motions of particles themselves and the effect of their aggregate behaviors on continuum …
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Aplicación de Métodos Meshless al Análisis de Problemas de Autovalores
… Tesis Doctoral aborda la aplicación de métodos meshless, o métodos sin malla, a problemas de autovalores, fundamentalmente vibraciones libres y pandeo. En particular, el estudio se centra en aspectos tales como los procedimientos para la resolución numérica del problema de autovalores con estos …
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Métodos meshless y su aplicación a problemas de estructuras aeronáuticas
RESUMEN Los métodos meshless (MM) se están presentando en la actualidad como una alternativa a los métodos tradicionales (FEM, principalmente) en la solución de los problemas en que éstos son incapaces o tienen muchas dificultades a la hora de resolverlos. El EFGM es, junto con el MLPG, uno de los …
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Radial basis function based meshless methods for fluid flow problems
This thesis is concerned with the development of meshless methods using radial basis functions for solving fluid flow problems. The advantage of meshless methods over traditional mesh-based methods is that they make use of a scattered set of collocation points in the physical domain and no …
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A Meshless Method for Magnetohydrodynamics and Applications to Protoplanetary Disks
This thesis presents an algorithm for simulating the equations of ideal magnetohydrodynamics and other systems of differential equations on an unstructured set of points represented by sample particles. Local, third-order, least-squares, polynomial interpolations (Moving Least Squares …
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Inverse Volume-of-Fluid Meshless Method for Efficient Non-Destructive Thermographic Evaluation
… Radial-basis Function (RBF) Collocation (LRC) Meshless method coupled with a Volume-of-Fluid (VoF) scheme capable of accurately and efficiently solving transient multi-dimensional heat conduction problems in composite and heterogeneous media is formulated and implemented. While the LRC Meshless …
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Meshless methods: theory and application in 3D fracture modelling with level sets
… firstly an investigation into the theory of meshless methods and secondly an innovative numerical framework for 3D fracture modelling using the element-free Galerkin method and the level set method. The former contributes to some fundamental issues related to accuracy and error control in …
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Comparison of Mesh and Meshless Methods for Partial Differential Equations of Galerkin Form
… 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 divided into three main parts. The first part is chapter one which …
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On the development of an efficient truly meshless discretization procedure in computational mechanics
… thesis is to present an efficient and reliable meshless computational technique - the method of finite spheres - for the solution of boundary value problems on complex domains. This method is truly meshless in the sense that the approximation spaces are generated and the numerical integration is …
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A meshless, high-order integral equation method for smooth surfaces, with application to biomolecular electrostatics
… using panel discretization, the new method is meshless and capable of achieving spectral convergence: numerical errors decrease exponentially fast with increasing size of basis set. We will describe a number of techniques in our approach, including the use of global, high order basis, …
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Solution of Linear Elastostatic and Elastodynamic Plane Problems by the Meshless Local Petrov-Galerkin Method
The meshless local Petrov-Galerkin (MLPG) method is used to numerically find an approximate solution of plane strain/stress linear elastostatic and elastodynamic problems. The MLPG method requires only a set of nodes both for the interpolation of the solution variables and the evaluation of various …
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Meshless Local Petrov-Galerkin method with Rankine source solution for two-dimensional two-phase flow modelling
… particle multiphase model based on the Meshless Local Petrov-Galerkin method with Rankine source solution (MLPG_R) is proposed to simulate 2D flows of two immiscible fluids. The model is applicable to fluids with a wide range of density ratio from 1.01 to 1000, capable of dealing with …
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A multilevel method for meshless solution of the poisson equation in heat transfer and fluid flow
Meshless methods using radial basis functions (RBF) are an attractive alternative to grid based methods for solving partial differential equations in complex geometries. Gaussian, Multiquadratics and inverse Multiquadratics are some of the more popular RBF's, but the require a shape paramter for a …
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Smoothed particle hydrodynamics for nonlinear solid mechanics
… Hydrodynamics (SPH) is one of the simplest meshless methods currently in use. The method has seen significant development and has been the germination point for many other meshless methods. The development of new meshless methods regularly uses standard SPH as a starting point, while trying …
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Algorithms and technologies for photonic crystal modelling
… compared with cylindrical rods.<br/><br/>A new meshless method algorithm was developed to solve Maxwell's equations. Simulations were carried out using an equation with known analytical solutions; how the accuracy of the results was affected by different designs of experiment and different …
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