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Title:
3D multidomain BEM for solving the Laplace equation
Authors:
ID
Ramšak, Matjaž
(
Author
)
ID
Škerget, Leopold
(
Author
)
Files:
http://dx.doi.org/10.1016/j.enganabound.2006.10.006
Language:
English
Work type:
Unknown
Typology:
1.01 - Original Scientific Article
Organization:
FS - Faculty of Mechanical Engineering
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:
fluid mechanics
,
aerodynamics
,
multidomain boundary element method
,
Laplace equation
,
mixed boundary elements
,
potential flow
Year of publishing:
2007
PID:
20.500.12556/DKUM-25912
UDC:
533.6:519.61/.64
ISSN on article:
0955-7997
COBISS.SI-ID:
11268374
NUK URN:
URN:SI:UM:DK:HTURXOTV
Publication date in DKUM:
31.05.2012
Views:
2587
Downloads:
114
Metadata:
Categories:
Misc.
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Record is a part of a journal
Title:
Engineering analysis with boundary elements
Shortened title:
Eng. anal. bound. elem.
Publisher:
Elsevier
ISSN:
0955-7997
COBISS.SI-ID:
5605380
Secondary language
Language:
English
Keywords:
mehanika fluidov
,
aerodinamika
,
večobmočna metoda robnih elementov
,
Laplaceova enačba
,
mešani robni elementi
,
potencialni tok
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