Viscous flow simulation of a two-dimensional channel flow with complex geometry using the grid-particle vortex method
ESAIM. Proceedings, Tome 7 (1999), pp. 215-224
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To avoid a large consumption of computer time instead of the direct vortex methods with Biot-Savart interaction law, the vortex in cell method was used. The local velocity of a particle was obtained by the solution of the Poisson equation for the stream function, its differentiation, and then interpolation of velocity to the vortex particle position from the grid nodes. The Poisson equation for the stream function was solved by fast elliptic solvers. To be able to solve the Poisson equation in a region with a complex geometry, the capacitance matrix technique was used. The viscosity of the fluid was taken in a stochastic manner. A suitable stochastic differential equation was solved by the Huen method. The non-slip condition on the wall was realized by the generation of the vorticity. The program was tested by solving several flows in the channels with a different geometry and at a different Reynolds number. Here we present the testing results concerning the flow in a channel with sudden symmetric expansion.
@article{EP_1999_7_a19,
author = {Henryk Kudela},
title = {Viscous flow simulation of a two-dimensional channel flow with complex geometry using the grid-particle vortex method},
journal = {ESAIM. Proceedings},
pages = {215--224},
year = {1999},
volume = {7},
doi = {10.1051/proc:1999020},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:1999020/}
}
TY - JOUR AU - Henryk Kudela TI - Viscous flow simulation of a two-dimensional channel flow with complex geometry using the grid-particle vortex method JO - ESAIM. Proceedings PY - 1999 SP - 215 EP - 224 VL - 7 UR - http://geodesic.mathdoc.fr/articles/10.1051/proc:1999020/ DO - 10.1051/proc:1999020 LA - en ID - EP_1999_7_a19 ER -
%0 Journal Article %A Henryk Kudela %T Viscous flow simulation of a two-dimensional channel flow with complex geometry using the grid-particle vortex method %J ESAIM. Proceedings %D 1999 %P 215-224 %V 7 %U http://geodesic.mathdoc.fr/articles/10.1051/proc:1999020/ %R 10.1051/proc:1999020 %G en %F EP_1999_7_a19
Henryk Kudela. Viscous flow simulation of a two-dimensional channel flow with complex geometry using the grid-particle vortex method. ESAIM. Proceedings, Tome 7 (1999), pp. 215-224. doi: 10.1051/proc:1999020
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