Numerical realization of liydrodyiiamic 3D-model of the formation of sedimentary basins
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 5 (1998), pp. 143-173
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Three-dimensional hydrodynamic model of the formation of sedimentary basins is considered. The model is described by quasi-stationary equations of motion of incompressible viscous liquid. The vector potential for the velocity field of medium is introduced. Galerkin's method with a special basis of three-cubic splines (i.e. functions of the form $s_{ijk}(x_1, x_2, x_3)=s_i(x_1)\cdot s_j(x_2)\cdot s_k(x_3)$, where $s_n$ are cubic splines) is used. Due to some geometric symmetries, the problem is divided into several independent problems, and parallel methods are applied for their solving. Mathematical and numerical aspects of constructing and using the symmetries are discussed.
@article{TIMM_1998_5_a11,
author = {B. M. Naimark and A. T. Ismail-zade and A. I. Korotkii and A. P. Suetov and I. A. Tsepelev},
title = {Numerical realization of liydrodyiiamic {3D-model} of the formation of sedimentary basins},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {143--173},
publisher = {mathdoc},
volume = {5},
year = {1998},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_1998_5_a11/}
}
TY - JOUR AU - B. M. Naimark AU - A. T. Ismail-zade AU - A. I. Korotkii AU - A. P. Suetov AU - I. A. Tsepelev TI - Numerical realization of liydrodyiiamic 3D-model of the formation of sedimentary basins JO - Trudy Instituta matematiki i mehaniki PY - 1998 SP - 143 EP - 173 VL - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_1998_5_a11/ LA - ru ID - TIMM_1998_5_a11 ER -
%0 Journal Article %A B. M. Naimark %A A. T. Ismail-zade %A A. I. Korotkii %A A. P. Suetov %A I. A. Tsepelev %T Numerical realization of liydrodyiiamic 3D-model of the formation of sedimentary basins %J Trudy Instituta matematiki i mehaniki %D 1998 %P 143-173 %V 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_1998_5_a11/ %G ru %F TIMM_1998_5_a11
B. M. Naimark; A. T. Ismail-zade; A. I. Korotkii; A. P. Suetov; I. A. Tsepelev. Numerical realization of liydrodyiiamic 3D-model of the formation of sedimentary basins. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 5 (1998), pp. 143-173. http://geodesic.mathdoc.fr/item/TIMM_1998_5_a11/