Fast single domain-subdomain BEM algorithm for 3D incompressible fluid flow and heat transfer

Jure Ravnik (Author), Leopold Škerget (Author), Zoran Žunič (Author)

Abstract

In this paper acceleration and computer memory reduction of an algorithm for the simulation of laminar viscous flows and heat transfer is presented. The algorithm solves the velocity-vorticity formulation of the incompressible Navier-Stokes equations in 3D. It is based on a combination of a subdomain boundary element method (BEM) and single domain BEM. The CPU time and storage requirements of the single domain BEM are reduced by implementing a fast multipole expansion method. The Laplace fundamental solution, which is used as a special weighting function in BEM, is expanded in terms of spherical harmonics. The computational domain and its boundary are recursively cut up forming a tree of clusters of boundary elements and domain cells. Data sparse representation is used in parts of the matrix, which correspond to boundary-domain clusters pairs that are admissible for expansion. Significant reduction of the complexity is achieved. The paper presents results of testing of the multipole expansion algorithm by exploring its effect on the accuracy of the solution and its influence on the non-linear convergence properties of the solver. Two 3D benchmark numerical examples are used: the lid-driven cavity and the onset of natural convection in a differentially heated enclosure.

Keywords

metoda robnih elementov;metoda hitrih multipolov;tok tekočine;prenos toplote;hitrostno vrtinčna formulacija;boundary element method;fast multipole method;fluid flow;heat transfer;velocity-vorticity fomulation;

Data

Language:	English
Year of publishing:	2009
Typology:	1.01 - Original Scientific Article
Organization:	UM FS - Faculty of Mechanical Engineering
UDC:	532.7:519.61/.64
COBISS:	13066774
ISSN:	0029-5981
Views:	1703
Downloads:	82
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary keywords:	metoda robnih elementov;metoda hitrih multipolov;tok tekočine;prenos toplote;hitrostno vrtinčna formulacija;
URN:	URN:SI:UM:
Pages:	str. 1627-1645
Volume:	ǂVol. ǂ77
Issue:	ǂiss. ǂ12
Chronology:	2009
Keywords (UDC):	mathematics;natural sciences;naravoslovne vede;matematika;physics;fizika;fluid mechanics in general;mechanics of liquids (hydromechanics);mehanika tekočin;mehanika kapljevin;kinetic theory of liquids;osmosis;solution and solutions;mathematics;natural sciences;naravoslovne vede;matematika;mathematics;matematika;computational mathematics;numerical analysis;računska matematika;numerična analiza;
DOI:	10.1002/nme.2467
ID:	990842