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  • The present paper is devoted to the numerical solution to flow in time-dependent domains with elastic walls. This problem has several applications in engineering and medicine. The flow is described by the system of Navier-Stokes equations supplemented with suitable initial and boundary conditions. A part of the boundary of the region occupied by the fluid is represented by an elastic wall, whose deformation is driven by a hyperbolic partial differential equation with initial and boundary conditions. Its right-hand side represents the force by which the fluid flow acts on the elastic wall. A numerical method for solving this coupled problem is elaborated, based on the finite element method and the arbitrary Lagrangian-Eulerian (ALE) formulation of the equations describing the flow. The formulation and analysis of the problem together with discretization, algorithmization and programming of modules, which were added to an existing software package, is presented. The developed method is applied to solving test problems.
  • The present paper is devoted to the numerical solution to flow in time-dependent domains with elastic walls. This problem has several applications in engineering and medicine. The flow is described by the system of Navier-Stokes equations supplemented with suitable initial and boundary conditions. A part of the boundary of the region occupied by the fluid is represented by an elastic wall, whose deformation is driven by a hyperbolic partial differential equation with initial and boundary conditions. Its right-hand side represents the force by which the fluid flow acts on the elastic wall. A numerical method for solving this coupled problem is elaborated, based on the finite element method and the arbitrary Lagrangian-Eulerian (ALE) formulation of the equations describing the flow. The formulation and analysis of the problem together with discretization, algorithmization and programming of modules, which were added to an existing software package, is presented. The developed method is applied to solving test problems. (en)
Title
  • Numerical simulation of interaction between incompressible flow and an elastic wall
  • Numerical simulation of interaction between incompressible flow and an elastic wall (en)
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  • Numerical simulation of interaction between incompressible flow and an elastic wall
  • Numerical simulation of interaction between incompressible flow and an elastic wall (en)
skos:notation
  • RIV/00216208:11320/12:10130176!RIV13-GA0-11320___
http://linked.open...avai/riv/aktivita
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  • I, P(GA201/08/0012), S
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 155048
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  • RIV/00216208:11320/12:10130176
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  • string equation; finite element method; arbitrary Lagrangian-Eulerian method; Navier-Stokes equations; fluid-structure interaction (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [2EC831B518F6]
http://linked.open...v/mistoKonaniAkce
  • Vysoké Tatry - Podbanské, Slovenská republika
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  • Bratislava
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  • ALGORITMY 2012, 19th Conference on Scientific Computing
http://linked.open...in/vavai/riv/obor
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http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Feistauer, Miloslav
  • Sváček, P.
  • Hadrava, Martin
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
number of pages
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  • Slovak University of Technology in Bratislava, Faculty of Civil Engineering
https://schema.org/isbn
  • 978-80-227-3742-5
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  • 11320
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