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| Description
| - Metoda konečných objemů pro řešení hyperbolických problémů je dobře známa. Zde uvažujeme dvě základní formulace: cell centered a cell vertex. Pro cell centered metodu, (konečné) objemy užité ke splnění integrální formy zákona zachování jsou elementy výpočetní sítě. Pro formulaci vertex centered metody, konečné objemy jsou elementy sítě duální k výpočetní síti. Metody jsou nejprve testovány na rovnici skalání advekce. Ze znalosti analytického řešení problému je vyhodnocena konvergence řešení. Složitější testovací úloha zahrnuje 3D proudění kolem křídla Onera M6. Diskuze řešení zahrnuje vliv rekonstrukce a limiterů na řešení. Dále jsou také uvedeny výsledky paralelní implementace na PC clusteru s OS Linux. (cs)
- Finite volume methods for solving hyperbolic systems on unstructured meshes are known for a long time. There are two basic formulations of the method: cell centered and vertex centered. For the cell centered method, the (finite) volumes used to satisfy the integral form of the equation are the mesh elements itself. For the vertex centered approach, the finite volumes are elements of the mesh dual to the computational mesh. We present comparison of both formulations. The method is first evaluated on a scalar advection equation. Knowing the analytical solution of the problem, convergence studies are performed. More complex test cases involve the 3D transonic flow past an Onera M6 airfoil. Discussion includes influence of the reconstruction and limiters on the solution. The results of the parallel implementation for a Linux PC cluster both with explicit and implicit time integration method are presented.
- Finite volume methods for solving hyperbolic systems on unstructured meshes are known for a long time. There are two basic formulations of the method: cell centered and vertex centered. For the cell centered method, the (finite) volumes used to satisfy the integral form of the equation are the mesh elements itself. For the vertex centered approach, the finite volumes are elements of the mesh dual to the computational mesh. We present comparison of both formulations. The method is first evaluated on a scalar advection equation. Knowing the analytical solution of the problem, convergence studies are performed. More complex test cases involve the 3D transonic flow past an Onera M6 airfoil. Discussion includes influence of the reconstruction and limiters on the solution. The results of the parallel implementation for a Linux PC cluster both with explicit and implicit time integration method are presented. (en)
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| Title
| - Comparison of Cell Centered and Vertex Centered Formulation of Finite Volume Method
- Comparison of Cell Centered and Vertex Centered Formulation of Finite Volume Method (en)
- Porovnání %22Cell Centered%22 a %22Cell Vertex%22 formulace metody konečných objemů (cs)
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| skos:prefLabel
| - Comparison of Cell Centered and Vertex Centered Formulation of Finite Volume Method
- Comparison of Cell Centered and Vertex Centered Formulation of Finite Volume Method (en)
- Porovnání %22Cell Centered%22 a %22Cell Vertex%22 formulace metody konečných objemů (cs)
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| skos:notation
| - RIV/68407700:21220/06:02121695!RIV07-MSM-21220___
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| http://linked.open.../vavai/riv/strany
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| http://linked.open...avai/riv/aktivita
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| http://linked.open...avai/riv/aktivity
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| http://linked.open...iv/cisloPeriodika
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| http://linked.open...vai/riv/dodaniDat
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| http://linked.open...aciTvurceVysledku
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| http://linked.open.../riv/druhVysledku
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| http://linked.open...iv/duvernostUdaju
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| http://linked.open...titaPredkladatele
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| http://linked.open...dnocenehoVysledku
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| http://linked.open...ai/riv/idVysledku
| - RIV/68407700:21220/06:02121695
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| http://linked.open...riv/jazykVysledku
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| http://linked.open.../riv/klicovaSlova
| - cell centered method; convergence study; finite volume method; parallel computer; transonic flows; vertex centered method (en)
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| http://linked.open.../riv/klicoveSlovo
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| http://linked.open...odStatuVydavatele
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| http://linked.open...ontrolniKodProRIV
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| http://linked.open...i/riv/nazevZdroje
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| http://linked.open...in/vavai/riv/obor
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| http://linked.open...ichTvurcuVysledku
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| http://linked.open...cetTvurcuVysledku
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| http://linked.open...UplatneniVysledku
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| http://linked.open...v/svazekPeriodika
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| http://linked.open...iv/tvurceVysledku
| - Dobeš, Jiří
- Fořt, Jaroslav
- Deconinck, H.
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| http://linked.open...n/vavai/riv/zamer
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| issn
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| number of pages
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| http://localhost/t...ganizacniJednotka
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