On the application of the hydrodynamic potentials method to the viscous fluid flow problem
Matematičeskoe modelirovanie, Tome 6 (1994) no. 10, pp. 57-65
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The method of hydrodynamic potentials is applied to sojving three-dimensional stationary viscous incompressible fluid flow problem. The solution is defined as a sum of the double layer potential with the unknown density $\varphi$ and the volume potential having nonlinear terms. The value of $\varphi$ is determined from a linear integral second kind equation with a weak singularity. The equation under consideration admits a unique solution for any right-hand side substituted from the previous iteration. The presence of Reynolds number $R$ as a multiplier in the volume potential provides convergence of iterations for sufficiently small values of $R$. The flow around a three-axial ellipsoid was considered as an example.
@article{MM_1994_6_10_a5,
author = {M. M. Vasiliev and K. N. Efimkin and V. N. Ivanova},
title = {On the application of the hydrodynamic potentials method to the viscous fluid flow problem},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {57--65},
year = {1994},
volume = {6},
number = {10},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_1994_6_10_a5/}
}
TY - JOUR AU - M. M. Vasiliev AU - K. N. Efimkin AU - V. N. Ivanova TI - On the application of the hydrodynamic potentials method to the viscous fluid flow problem JO - Matematičeskoe modelirovanie PY - 1994 SP - 57 EP - 65 VL - 6 IS - 10 UR - http://geodesic.mathdoc.fr/item/MM_1994_6_10_a5/ LA - ru ID - MM_1994_6_10_a5 ER -
%0 Journal Article %A M. M. Vasiliev %A K. N. Efimkin %A V. N. Ivanova %T On the application of the hydrodynamic potentials method to the viscous fluid flow problem %J Matematičeskoe modelirovanie %D 1994 %P 57-65 %V 6 %N 10 %U http://geodesic.mathdoc.fr/item/MM_1994_6_10_a5/ %G ru %F MM_1994_6_10_a5
M. M. Vasiliev; K. N. Efimkin; V. N. Ivanova. On the application of the hydrodynamic potentials method to the viscous fluid flow problem. Matematičeskoe modelirovanie, Tome 6 (1994) no. 10, pp. 57-65. http://geodesic.mathdoc.fr/item/MM_1994_6_10_a5/