Local Maximum Entropy Finite Element Method for Flow Field Problem
Date Issued
2015
Date
2015
Author(s)
Shih, Cheng-Lun
Abstract
This thesis is concerned with the study of local maximum-entropy finite element method (LME-FEM) on flow field problems. On this study the method is first used to solve steady advection-diffusion problems at various Peclet numbers for two-dimensional conditions. After verifying the capability of this method to simulate the advection-diffusion equation, we next apply the scheme to solve Navier-Stokes equations with the operator splitting procedure by a two-step projection method. Testing a variety of refinement method, we tried to demonstrate that the procedure of adding extra points in the elements would increase the accuracy of numerical computation. All the numerical results of this study are compared favorably with the existing reference data. In addition, we further tried to do the same problem of cavity flow but with a hole in the domain. Comparing the results with the mesh independent solution, reasonably good agreements and better efficiency can be observed through present LME-FEM algorithm. It is proved that LME-FEM will increase the efficiency even under the unfavorable conditions of high gradient and complex geometry.
Subjects
mesh
Local maximum-entropy
finite element method
advection-diffusion
Nacier-Stokes equations
Type
thesis
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