Geodesic
Distributed calculations in conjugated problems of interaction between gas flows and deformable bodies
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 56 (2020), pp. 30-40

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In the mathematical modeling of conjugated problems of gas dynamics and mechanics of a deformable solid body within the partitioned approach, each of the physical problems is solved independently using the appropriate software. In the article, we consider a distributed software model built on the basis of components approach that makes it possible to connect an arbitrary number of components related to physical problems. The mathematical formulation of the problems of gas dynamics, mechanics of a deformable rigid body, as well as the boundary conditions for the conjugation of physical regions are given. The programming model is based on the ZeroC Ice middleware, which implements a distributed client–server model. As an example, we consider the problems of interaction of a shock wave with an elastically deformable obturator, consisting of two thin plates, as well as the interaction of a hollow deformable cylinder with a flow of gas. The results of numerical solution are given.[20pt] The research was performed using computing resources of the collective use center of IMM UB RAS “Supercomputer center of IMM UB RAS”.
Keywords: conjugate problem, two-sided coupling, distributed calculations, numerical modeling. 
@article{IIMI_2020_56_a3,
     author = {I. M. Kuz'min and L. E. Tonkov},
     title = {Distributed calculations in conjugated problems of interaction between gas flows and deformable bodies},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {30--40},
     publisher = {mathdoc},
     volume = {56},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIMI_2020_56_a3/}
}
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I. M. Kuz'min; L. E. Tonkov. Distributed calculations in conjugated problems of interaction between gas flows and deformable bodies. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 56 (2020), pp. 30-40. http://geodesic.mathdoc.fr/item/IIMI_2020_56_a3/