Novel applications of BEM based Poisson level set approach

被引：6

作者：

Xia, H. ^{[1
]}

Tucker, P. G. ^{[2
]}

Coughlin, G. ^{[2
]}

机构：

[1] Univ Sussex, Thermofluid Mech Res Ctr, Brighton BN1 9QT, E Sussex, England

[2] Univ Cambridge, Whittle Lab, Cambridge CB3 0DY, England

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2012年 / 36卷 / 05期

基金：

英国工程与自然科学研究理事会;

关键词：

Boundary element method; Distance function; Medial axis; De-featuring; FEATURES; EQUATION;

D O I：

10.1016/j.enganabound.2011.07.013

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Accurate and efficient computation of the distance function d for a given domain is important for many areas of numerical modeling. Partial differential (e.g. Hamilton-Jacobi type) equation based distance function algorithms have desirable computational efficiency and accuracy. In this study, as an alternative, a Poisson equation based level set (distance function) is considered and solved using the meshless boundary element method (BEM). The application of this for shape topology analysis, including the medial axis for domain decomposition, geometric de-featuring and other aspects of numerical modeling is assessed. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：907 / 912

页数：6

共 21 条

[1]

[Anonymous], 10 INT HEAT TRANSF C

[2]

[Anonymous], 1992, 30 AER SCI M EXH

[3]

[Anonymous], 1999, Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science

[4] Elimination of the adverse effects of small model features by the local modification of automatically generated meshes [J].

Dey, S ;

Shephard, MS ;

Georges, MK .

ENGINEERING WITH COMPUTERS, 1997, 13 (03) :134-152

[5] PROGRESS IN DEVELOPMENT OF A REYNOLDS-STRESS TURBULENCE CLOSURE [J].

LAUNDER, BE ;

REECE, GJ ;

RODI, W .

JOURNAL OF FLUID MECHANICS, 1975, 68 (APR15) :537-566

[6] Surface mesh generation for dirty geometries by shrink wrapping using Cartesian grid approach [J].

Lee, Y. K. ;

Lim, Chin K. ;

Ghazialam, Hamid ;

Vardhan, Harsh ;

Eklund, Erling .

PROCEEDINGS OF THE 15TH INTERNATIONAL MESHING ROUNDTABLE, 2006, :393-+

[7] Geometric detail suppression by the Fourier transform [J].

Lee, YG ;

Lee, K .

COMPUTER-AIDED DESIGN, 1998, 30 (09) :677-693

[8] The fast multipole boundary element method for potential problems: A tutorial [J].

Liu, Y. J. ;

Nishimura, N. .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2006, 30 (05) :371-381

[9] THE MULTIPLE-RECIPROCITY METHOD - A NEW APPROACH FOR TRANSFORMING BEM DOMAIN INTEGRALS TO THE BOUNDARY [J].

NOWAK, AJ ;

BREBBIA, CA .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 1989, 6 (03) :164-167

[10] FRONTS PROPAGATING WITH CURVATURE-DEPENDENT SPEED - ALGORITHMS BASED ON HAMILTON-JACOBI FORMULATIONS [J].

OSHER, S ;

SETHIAN, JA .

JOURNAL OF COMPUTATIONAL PHYSICS, 1988, 79 (01) :12-49

← 1 2 3 →