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  • Towards a fast single domain - subdomain BEM algorithm for 3D incompressible fluid flow
    Ravnik, Jure ; Škerget, Leopold ; Žunič, Zoran
    Work towards acceleration and computer memory reduction of an algorithm for the simulation of laminar viscous flows by solving of 3D velocity-vorticity formulation of the Navier-Stokes equations is ... presented. The algorithm employs a combination of a subdomain boundary element method (BEM) and fast single domain BEM. The single domain BEM on a Poisson type equation is employed to calculate boundary vorticity values. After discretization, the single domain BEM algorithm yields a fully populated system of linear equations. The non-homogenous part of the Poisson equation yields a fully populated matrix of domain integrals. In order to lower the computational demand, a fast multipole expansion algorithm is used on the domain matrix. The fundamental solution is expanded in terms of spheri- cal harmonics. The computational domain and its boundary are recursively cut up forming a tree of clusters of boundary elements and domain cells. Compression is achieved in parts of the matrix, which correspond to boundary-domain cluster pairs that are admissible for expansion. Significant reduction of the complexity is achieved. The paper presents results of initial testing of the FMM algorithm.
    Vir: Boundary elements and other mesh reduction methods XXX (Str. 3-11)
    Vrsta gradiva - prispevek na konferenci
    Leto - 2008
    Jezik - angleški
    COBISS.SI-ID - 12395798

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