Go to  Advanced Search

Anisotropic adaptation: metrics and meshes

Show full item record

Files in this item

Files Size Format Description   View
ubc_2008_spring_pagnutti_douglas.pdf 2.325Mb Adobe Portable Document Format   View/Open
Title: Anisotropic adaptation: metrics and meshes
Author: Pagnutti, Douglas
Degree Master of Applied Science - MASc
Program Mechanical Engineering
Copyright Date: 2008
Publicly Available in cIRcle 2008-02-21
Subject Keywords Anisotropic Adaptation; High Order; CFD; Anisotropic Meshing
Abstract: We present a method for anisotropic mesh refinement to high-order numerical solutions. We accomplish this by assigning metrics to vertices that approximate the error in that region. To choose values for each metric, we first reconstruct an error equation from the leading order terms of the Taylor expansion. Then, we use a Fourier approximation to choose the metric associated with that vertex. After assigning a metric to each vertex, we refine the mesh anisotropically using three mesh operations. The three mesh operations we use are swapping to maximize quality, inserting at approximate circumcenters to decrease cell size, and vertex removal to eliminate small edges. Because there are no guarantees on the results of these modification tools, we use them iteratively to produce a quasi-optimal mesh. We present examples demonstrating that our anisotropic refinement algorithm improves solution accuracy for both second and third order solutions compared with uniform refinement and isotropic refinement. We also analyze the effect of using second derivatives for refining third order solutions.
URI: http://hdl.handle.net/2429/415

This item appears in the following Collection(s)

Show full item record

All items in cIRcle are protected by copyright, with all rights reserved.

UBC Library
1961 East Mall
Vancouver, B.C.
Canada V6T 1Z1
Tel: 604-822-6375
Fax: 604-822-3893