VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Fast single domain-subdomain BEM algorithm for 3D incompressible fluid flow and heat transfer
    Ravnik, Jure ; Škerget, Leopold ; Žunič, Zoran
    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.
    Vir: International journal for numerical methods in engineering. - ISSN 0029-5981 (Vol. 77, iss. 12, 2009, str. 1627-1645)
    Vrsta gradiva - članek, sestavni del
    Leto - 2009
    Jezik - angleški
    COBISS.SI-ID - 13066774

    Povezava(-e):

    http://dx.doi.org/10.1002/nme.2467
    Digitalna knjižnica Univerze v Mariboru – DKUM
    DOI

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