Numerical simulation of contact interaction of compressible fluids on Eulerian grids
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 4, pp. 74-99
Voir la notice du chapitre de livre provenant de la source Math-Net.Ru
A short review on numerical simulation of the problems of contact interaction between compressible media with a strong difference in their acoustic impedances, with large deformations of contact boundary and with shock waves present in them is given. The main ideas underlying a numerical algorithm developed for solving such problems on the basis of the known CIP-CUP (Constrained Interpolation Profile Combined Unified Procedure) approach using Eulerian grids without explicit separation of contact interfaces, and governing equations of compressible fluid flow in terms of nonconservative variables are described. Robustness of the developed algorithm is demonstrated by the results of computation of some test problems having analytical solutions. The capabilities of the realized technique are illustrated by its application to the problems of impact of an axially-symmetric high-speed liquid jet on a rigid wall and on a thin liquid layer on a rigid wall. The obtained results are in satisfactory agreement with the known numerical solutions computed by the method of adaptively moving meshes with an explicit separation of the interphase boundary.
Keywords:
multiphase compressible flows, large deformation of interface, Eulerian grid, interface capturing, CIP-CUP method.
@article{UZKU_2012_154_4_a6,
author = {A. A. Aganin and T. S. Guseva},
title = {Numerical simulation of contact interaction of compressible fluids on {Eulerian} grids},
journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
pages = {74--99},
publisher = {mathdoc},
volume = {154},
number = {4},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZKU_2012_154_4_a6/}
}
TY - JOUR AU - A. A. Aganin AU - T. S. Guseva TI - Numerical simulation of contact interaction of compressible fluids on Eulerian grids JO - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki PY - 2012 SP - 74 EP - 99 VL - 154 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZKU_2012_154_4_a6/ LA - ru ID - UZKU_2012_154_4_a6 ER -
%0 Journal Article %A A. A. Aganin %A T. S. Guseva %T Numerical simulation of contact interaction of compressible fluids on Eulerian grids %J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki %D 2012 %P 74-99 %V 154 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/UZKU_2012_154_4_a6/ %G ru %F UZKU_2012_154_4_a6
A. A. Aganin; T. S. Guseva. Numerical simulation of contact interaction of compressible fluids on Eulerian grids. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 4, pp. 74-99. http://geodesic.mathdoc.fr/item/UZKU_2012_154_4_a6/