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Discontinuous Galerkin method and its application to the solution of selected problems of fluid mechanics

Project goals

The project is aimed at the development of discontinuous Galerkin method and its application to selected problems of fluid mechanics. A specific implementation of the algorithms of discontinuous Galerkin method will be developed in a form permitting a relatively easy and handy application to the solution of not entirely standard problems of both basic and applied research in hydrodynamics. Concrete applications will be focused on unsteady flow in open channels making use of the 'shallow water theory, and on laminar flow of non-Newtonian liquids. The main goal is general implementation of the method enabling possible extension to other problems of fluid mechanics. For selected problems, there will be run the experiments which will make it possible to estimate the suitability of the method to the solution of practical problems of fluid mechanics.

Keywords

Public support

  • Provider

    Czech Science Foundation

  • Programme

    Standard projects

  • Call for proposals

    Standardní projekty 6 (SGA02004GA-ST)

  • Main participants

  • Contest type

    VS - Public tender

  • Contract ID

Alternative language

  • Project name in Czech

    Nespojitá Galerkinova metoda a její aplikace na vybrané problémy mechaniky tekutin

  • Annotation in Czech

    Cílem projektu je vývoj a aplikace nespojité Galerkinovy metody na vybrané úlohy mechaniky tekutin. V rámci projektu bude vyvinuta vlastní implementace algoritmů nespojité Galerkinovy metody ve formě umožňující relativně snadnou a operativní aplikaci nařešení často ne zcela standardních úloh základního i aplikovaného výzkumu v hydromechanice. Konkrétní aplikace budou zaměřeny na neustálené proudění v otevřených kanálech s využitím teorie mělké vody a na laminární proudění nenewtonovských kapalin. Cílemje však obecná implementace metody umožňující perspektivně rozšíření i na jiné úlohy mechaniky tekutin. Pro vybrané úlohy budou provedeny experimenty umožňující posoudit vhodnost metody pro řešení reálných problémů mechaniky tekutin.

Scientific branches

  • R&D category

    ZV - Basic research

  • CEP classification - main branch

    BK - Liquid mechanics

  • CEP - secondary branch

    JC - Computer hardware and software

  • CEP - another secondary branch

  • 10305 - Fluids and plasma physics (including surface physics)
    20206 - Computer hardware and architecture

Completed project evaluation

  • Provider evaluation

    U - Uspěl podle zadání (s publikovanými či patentovanými výsledky atd.)

  • Project results evaluation

    The goal of this work is to develop robust and efficient method for continuum mechanics using discontinuous Galerkin method. The discontinuous Galerkin method is a highly compact formulation that provides a method of obtaining high accuracy on unstructur

Solution timeline

  • Realization period - beginning

    Jan 1, 2004

  • Realization period - end

    Jan 1, 2006

  • Project status

    U - Finished project

  • Latest support payment

Data delivery to CEP

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

  • Data delivery code

    CEP07-GA0-GA-U/03:2

  • Data delivery date

    Oct 16, 2007

Finance

  • Total approved costs

    1,376 thou. CZK

  • Public financial support

    1,376 thou. CZK

  • Other public sources

    0 thou. CZK

  • Non public and foreign sources

    0 thou. CZK

Basic information

Recognised costs

1 376 CZK thou.

Public support

1 376 CZK thou.

100%


Provider

Czech Science Foundation

CEP

BK - Liquid mechanics

Solution period

01. 01. 2004 - 01. 01. 2006