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Description
  • Práce se zabývá vývojem schématu vysokého řádu přesnosti pro řešení Eulerových a Navierových-Stokesových rovnic. Přesnost schématu je zvýšena použitím po částech kvadratické interpolace využívající metody nejmenších čtverců s vahami podobné ENO schématům. Vyvinutá metoda vykazuje velmi dobrou konvergenci ke stacionárnímu stavu. V práci je odvozen výraz pro chybu aproximace pro dvě varianty schématu pro jednorozměrnou úlohu konvekce s difusí. Je zde diskutována nutnost dostatečně přesné aproximace tvaru oblasti, pro kterou je vyvinuta metoda vycházející z ENO interpolace. (cs)
  • The work deals with the development of a high order finite volume scheme for Euler and Navier-Stokes equations. The accuracy of the scheme is improved by a piecewise quadratic interpolation of cell averaged data. The interpolation procedure uses the weighted least square approach similar to the weighted ENO scheme. The resulting scheme posses extremely good convergence to steady state thanks to single stencil reconstruction with smooth weights. The truncation error for two variants of the simplified scheme for one-dimensional convection-diffusion equation is derived here. The importance of good approximation of the boundary is emphasized and an ENO-like procedure for the approximation of the boundary is described.
  • The work deals with the development of a high order finite volume scheme for Euler and Navier-Stokes equations. The accuracy of the scheme is improved by a piecewise quadratic interpolation of cell averaged data. The interpolation procedure uses the weighted least square approach similar to the weighted ENO scheme. The resulting scheme posses extremely good convergence to steady state thanks to single stencil reconstruction with smooth weights. The truncation error for two variants of the simplified scheme for one-dimensional convection-diffusion equation is derived here. The importance of good approximation of the boundary is emphasized and an ENO-like procedure for the approximation of the boundary is described. (en)
Title
  • A Third Order WLSQR Scheme on Unstructured Meshes with Curvilinear Boundaries
  • WLSQR schéma třetího řádu na nestrukturovaných sítích (cs)
  • A Third Order WLSQR Scheme on Unstructured Meshes with Curvilinear Boundaries (en)
skos:prefLabel
  • A Third Order WLSQR Scheme on Unstructured Meshes with Curvilinear Boundaries
  • WLSQR schéma třetího řádu na nestrukturovaných sítích (cs)
  • A Third Order WLSQR Scheme on Unstructured Meshes with Curvilinear Boundaries (en)
skos:notation
  • RIV/68407700:21220/08:02146519!RIV09-MSM-21220___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/05/0005), P(OC 167), Z(MSM6840770010)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 354579
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21220/08:02146519
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • ENO; finite volume method; high order scheme (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [602029F4EBAB]
http://linked.open...v/mistoKonaniAkce
  • Graz
http://linked.open...i/riv/mistoVydani
  • Heidelberg
http://linked.open...i/riv/nazevZdroje
  • Numerical Mathematics and Advanced Applications. ENUMATH 2007
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Fürst, Jiří
http://linked.open...vavai/riv/typAkce
http://linked.open...ain/vavai/riv/wos
  • 000261093100034
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • Springer-Verlag
https://schema.org/isbn
  • 978-3-540-69776-3
http://localhost/t...ganizacniJednotka
  • 21220
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