Geodesic
Space semidiscrete formulation of contact algorithm based on the Schwarz's decomposition method for deformable bodies
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 27 (2017) no. 3, pp. 396-413

Voir la notice de l'article provenant de la source Math-Net.Ru

Implicit integration scheme for Schwarz alternating method for dynamic contact interaction problems of two interacting volumetric bodies without friction is considered. The paper presents the results of testing a contact algorithm of Schwarz domain decomposition using HTT-$\alpha$ scheme in consistent method redistribution of mass on the boundary of contact. To prevent artificial oscillations on the contact boundary together with common dissipative properties of the $\alpha$-scheme, the consistent mass redistribution method was used. The main advantage of this approach is the option to use multigrid methods to speed up the algorithm on subdomains, also there is no need for contact elements, contact parameters, Lagrange multipliers or regularization. Numerical examples including various contact zones, different materials of contact bodies and comparisons with measurements of other methods show the wide applicability of the derived algorithm.
Keywords: dynamic contact analysis, Schwarz alternating method, implicit schemes.
Mots-clés : mass redistribution 
@article{VUU_2017_27_3_a8,
     author = {A. S. Karavaev and S. P. Kopysov},
     title = {Space semidiscrete formulation of contact algorithm based on the {Schwarz's} decomposition method for deformable bodies},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {396--413},
     publisher = {mathdoc},
     volume = {27},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2017_27_3_a8/}
}
TY  - JOUR
AU  - A. S. Karavaev
AU  - S. P. Kopysov
TI  - Space semidiscrete formulation of contact algorithm based on the Schwarz's decomposition method for deformable bodies
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2017
SP  - 396
EP  - 413
VL  - 27
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VUU_2017_27_3_a8/
LA  - ru
ID  - VUU_2017_27_3_a8
ER  - 
%0 Journal Article
%A A. S. Karavaev
%A S. P. Kopysov
%T Space semidiscrete formulation of contact algorithm based on the Schwarz's decomposition method for deformable bodies
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2017
%P 396-413
%V 27
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VUU_2017_27_3_a8/
%G ru
%F VUU_2017_27_3_a8
A. S. Karavaev; S. P. Kopysov. Space semidiscrete formulation of contact algorithm based on the Schwarz's decomposition method for deformable bodies. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 27 (2017) no. 3, pp. 396-413. http://geodesic.mathdoc.fr/item/VUU_2017_27_3_a8/