Matjaž Ramšak (Author), Leopold Škerget (Author)

Abstract

This paper presents a mixed boundary element formulation of the boundary domain integral method (BDIM) for solving diffusion-convective transport problems. The basic idea of mixed elements is the use of a continuos interpolation polynomial for conservative field function approximation and a discontinuous interpolation polynomial for its normal derivative along the boundary element. In this way, the advantages of continuous field function approximation are retained and its conservation is preserved while the normal flux values are approximated by interpolation nodal points with a uniquely defined normal direction. Due to the use of mixed boundary elements, the final discretized matrix system is overdetermined and a special solver based on the least squares method is applied. Driven cavity, natural and forced convection in a closed cavity are studied. Driven caviaty results at Re=100, 400 and 1000 agree better with the benchmark solution than Finite Element Method of Finite Volume Method results for the same grid density with 21 x 21 degrees of freedom. The average Nusselt number values for natural convection ▫$10^3$▫▫$\le$▫Ra▫$\le$▫▫$10^6$▫ agree better than 0.1% with benchmark solutions for maximal calculated grid desities 61 x 61 degrees for freedom.

Keywords

mehanika fluidov;nestisljiv viskozni fluid;laminarni tok;hitrostno vrtinčna formulacija;metoda robnih elementov;mešani robni elementi;fluid mechanics;incompressible fluid;laminar flow;velocity vorticity formulation;boundary element method;mixed boundary elements;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UM FS - Faculty of Mechanical Engineering
UDC: 532:519.6
COBISS: 4884502 Link will open in a new window
ISSN: 0271-2091
Views: 1602
Downloads: 80
Average score: 0 (0 votes)
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Other data

Secondary language: English
Secondary keywords: mehanika fluidov;nestisljiv viskozni fluid;laminarni tok;hitrostno vrtinčna formulacija;metoda robnih elementov;mešani robni elementi;
URN: URN:SI:UM:
Pages: str. 861-877
Issue: ǂVol. ǂ31
Chronology: 1999
ID: 8719203