3D multidomain BEM for solving the Laplace equation

Matjaž Ramšak (Author), Leopold Škerget (Author)

Abstract

An efficient 3D multidomain BEM for solving problems governed by the Laplace equation is presented. Integral boundary equations are discretized using mixed boundary elements. The field function is interpolated using a continuous linear function while its derivative in a normal direction is interpolated using a discontiuous constant function over surface boundaey elements. Using amultidomain approach, also known as the subdomain technique, sparse system matrices similar to FEM are obtained. Interface boundary conditions between subdomains leads to an over-determined system matrix which is solved using a fast iterative linear least square solver. The accuracy and the robustness of the developed algorithm is presented on a scalar diffusion problem using simple cube geometry and various types of meshes. The efficiency is demonstrated with potential flow around a complex geometry of a fighter airplane using a tetrahedral mesh with over 100.000 subdomains on a personal computer.

Keywords

mehanika fluidov;aerodinamika;večobmočna metoda robnih elementov;Laplaceova enačba;mešani robni elementi;potencialni tok;fluid mechanics;aerodynamics;multidomain boundary element method;Laplace equation;mixed boundary elements;potential flow;

Data

Language:	English
Year of publishing:	2007
Typology:	1.01 - Original Scientific Article
Organization:	UM FS - Faculty of Mechanical Engineering
UDC:	533.6:519.61/.64
COBISS:	11268374
ISSN:	0955-7997
Views:	1795
Downloads:	84
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary keywords:	mehanika fluidov;aerodinamika;večobmočna metoda robnih elementov;Laplaceova enačba;mešani robni elementi;potencialni tok;
URN:	URN:SI:UM:
Pages:	str. 528-538
Volume:	ǂVol. ǂ31
Issue:	ǂiss.ǂ6
Chronology:	Jun. 2007
ID:	8717343