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Title: Mixed boundary elements for laminar flows Ramšak, Matjaž (Author)Škerget, Leopold (Author) http://dx.doi.org/10.1002/(SICI)1097-0363(19991115)31:5<861::AID-FLD900>3.0.CO;2-S English Unknown () 1.01 - Original Scientific Article FS - Faculty of Mechanical Engineering 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. fluid mechanics, incompressible fluid, laminar flow, velocity vorticity formulation, boundary element method, mixed boundary elements 1999 532:519.6 0271-2091 4884502 URN:SI:UM:DK:SUV7ADDX 1201 55 Misc.

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## Record is a part of a journal

Title: International journal for numerical methods in fluids Int. j. numer. methods fluids Wiley 0271-2091 25634304

## Secondary language

Language: English mehanika fluidov, nestisljiv viskozni fluid, laminarni tok, hitrostno vrtinčna formulacija, metoda robnih elementov, mešani robni elementi