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Computational Model for Fluid and Elastic Solid Interaction Based on Symmetric Hyperbolic Thermodynamically Compatible Systems Theory Full article

Journal Lecture Notes in Computer Science
ISSN: 0302-9743 , E-ISSN: 1611-3349
Output data Year: 2022, Volume: 13376 LNCS, Pages: 303-313 Pages count : 11 DOI: 10.1007/978-3-031-10450-3_26
Tags Diffuse interface; Fluid solid interaction; Runge-Kutta WENO method; Symmetric Hyperbolic Thermodynamically Compatible system
Authors Romenski E. 1 , Reshetova G. 2
Affiliations
1 Sobolev Institute of Mathematics SB RAS, Novosibirsk, 630090, Russian Federation
2 Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk, 630090, Russian Federation

Funding (2)

1 Sobolev Institute of Mathematics FWNF-2022-0008
2 Russian Science Foundation 19-77-20004

Abstract: A computational model of interaction of a compressible fluid and deformable elastic solid is presented. The model is derived from the general solid-fluid two-phase mixture model and its derivation is based on the Symmetric Hyperbolic Thermodynamically Compatible (SHTC) systems theory. The governing equations form a symmetric hyperbolic system of partial differential equations of the first order, the solutions of which satisfy the thermodynamic law of conservation of energy. These properties allow the direct application of advanced high accuracy computational methods to solve model equations and ensure the reliability of numerically obtained solutions. Some preliminary results of numerical simulation are presented, showing the applicability of the model for studying complex problems of the solid-fluid interaction.
Cite: Romenski E. , Reshetova G.
Computational Model for Fluid and Elastic Solid Interaction Based on Symmetric Hyperbolic Thermodynamically Compatible Systems Theory
Lecture Notes in Computer Science. 2022. V.13376 LNCS. P.303-313. DOI: 10.1007/978-3-031-10450-3_26 WOS Scopus OpenAlex
Dates:
Published online: Jul 15, 2022
Identifiers:
Web of science: WOS:000916455600025
Scopus: 2-s2.0-85135029629
OpenAlex: W4285414424
Citing:
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