A Finite Volume Procedure on Unstructured Meshes for Fluid-Structure Interaction Problems
| Autor: | P I Jagad, B P Puranik, A W Date |
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| Jazyk: | angličtina |
| Rok vydání: | 2011 |
| Předmět: | |
| DOI: | 10.5281/zenodo.1081047 |
| Popis: | Flow through micro and mini channels requires relatively high driving pressure due to the large fluid pressure drop through these channels. Consequently the forces acting on the walls of the channel due to the fluid pressure are also large. Due to these forces there are displacement fields set up in the solid substrate containing the channels. If the movement of the substrate is constrained at some points, then stress fields are established in the substrate. On the other hand, if the deformation of the channel shape is sufficiently large then its effect on the fluid flow is important to be calculated. Such coupled fluid-solid systems form a class of problems known as fluidstructure interactions. In the present work a co-located finite volume discretization procedure on unstructured meshes is described for solving fluid-structure interaction type of problems. A linear elastic solid is assumed for which the effect of the channel deformation on the flow is neglected. Thus the governing equations for the fluid and the solid are decoupled and are solved separately. The procedure is validated by solving two benchmark problems, one from fluid mechanics and another from solid mechanics. A fluid-structure interaction problem of flow through a U-shaped channel embedded in a plate is solved. {"references":["I. Demirdzic and S. Muzaferija, \"Numerical method for coupled fluid\nflow, heat transfer and stress analysis using unstructured moving meshes\nwith cells of arbitrary topology\", Comput. Methods Appl. Mech. Engrg.,\nvol. 125, pp. 235-255, 1995.","Michael Schafer and Ilka Teschauer, \"Numerical simulation of coupled\nfluid-solid problems\", Comput. Methods Appl. Mech. Engrg., vol. 190,\npp. 3645-3667, 2001.","A. W. Date, \"Solution of transport equations on unstructured meshes\nwith cell-centered colocated variables: Part I: Discretization, International\nJournal of Heat and Mass Transfer, vol. 48, pp. 1117-1127, 2005.","S. V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere\nPublishing Corp.: New York, 1980, ch. 6.","A.W. Date, \"Fluid dynamical view of pressure checkerboarding problem\nand smoothing pressure correction on meshes with colocated variables\",\nInternational Journal of Heat and Mass Transfer, vol. 46, pp. 4885-4898,\n2003.","K. C. Karki, K. M. Kelkar, P. S. Sathyamurthy and S. V. Patankar,\n\"Accurate solutions for laminar flow and heat transfer in a channel with\na backward-facing step, benchmark problems for heat transfer codes\",\nASME HTD, vol. 222, pp. 35-43, 1992.","I. Demirdzic, S. Muzaferija and M. Peric, \"Benchmark solutions of some\nstructural analysis problems using finite-volume method and multigrid acceleration\",\nInternational Journal for Numerical Methods in Engineering,\nvol. 40, pp. 1893-1908, 1997."]} |
| Databáze: | OpenAIRE |
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