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Numerické řešení stlačitelného proudění
Prokopová, Jaroslava ; Feistauer, Miloslav (advisor) ; Dolejší, Vít (referee)
This work deals with the problem of inviscid, compressible flow in a time-dependent domain. We describe mathematical properties of the Euler equations and the system of governing equations is solved with the aid of the discontinuous Galerkin finite element method (DGFEM) in the time-indepentent domain. The main aim of this work is the study of this problem in time-dependent domains. For this reason the Arbitrary Lagrangian-Eulerian (ALE) method is presented. The governing equations are formulated in the ALE formulation and discretized in space and time by the DGFEM. Shortly we mention the shock capturing of the obtained scheme and the solution of the resulting linear system with the aid of Generalized Minimal Residual (GMRES) method. At the end of this work we present and compare results obtained by two different ALE formulations of the governing equations in the rectangular domain with a moving part of lower wall.
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Numerical solution of flow past an airfoil
Prokopová, Jaroslava ; Feistauer, Miloslav (advisor) ; Najzar, Karel (referee)
Nazev prace: Numorioke feseni obtekani leleckeho profilu Autor: .Javoslava Prokopova Katedra (ustav): Katedra numerieke maternal,iky Vedoucf bakalarske prace: Prof- RNDr. Miloslav Feistauer, DrSc. e-mail vedoudho: feiyf'^kaTlin.niff. ouni.cz Abstrakt: Pfedkladaiia prace se vennjo problematic^1 obtekani izolovanelio le- teckeho profilu. .Tso\ zdc popsany rovnice charaktcvizuji nova^kn, Tu^tlacitol- no. novifivc'% stacioiiarni, rovinnr proudorif a nvixUnia koni])lo1,iii cliaraktrriH- lika danclio problonm ]K)inoci ryrhloati i ijroud(jvc tunkc^. Hlavnf uaplni jo ])ak stiulium niol.ody fuukci kuinploxni promonne a melody kouecnych prvku. Pfi aplikaci tfx-hto met.orl so zainonijoino na fescni oljtokaiii Znkov- skcho profilu. Di'ky ostro odtokovo hrano tuhoto profiln jsou zdo studovany odtokovo podmiiiky a jejich vyuziti vo stiulovanych motodacU. Poslodni casti Leto prace jo srovnain' vysledkii dosazeuycli ].)omorf tool)to nu^tod pro zvo- loriy Z\ikovskoho profil. Klicova slova: neva.xke, uoatlaoitolno, lunn'ri^'e, sta.oioiu'i.nii, ruvimio proudoni; mctoda fuukei koinploxni proruonnr; moUnla k(jneciiyoh ])rvkii: Znkovskeho profil; odtokova pochuiuka Title: Numerical .solution of flow past an airfoil Author: Jaroslava Prokopova Department: Department of Numoricn,! Matlieniatica Supervisor: Prof. RNDr. Miloslav...
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Numerical solution of compressible flow
Prokopová, Jaroslava ; Feistauer, Miloslav (advisor)
This work deals with the problem of inviscid, compressible flow in a timedependent domain. We describe mathematical properties of the Euler equations and the system of governing equations is solved with the aid of the discontinuous Galerkin finite element method (DGFEM) in the time-indepentent domain. The main aim of this work is the study of this problem in time-dependent domains. For this reason the Arbitrary Lagrangian-Eulerian (ALE) method is presented. The governing equations are formulated in the ALE formulation and discretized in space and time by the DGFEM. Shortly we mention the shock capturing of the obtained scheme and the solution of the resulting linear system with the aid of Generalized Minimal Residual (GMRES) method. At the end of this work we present and compare results obtained by two different ALE formulations of the governing equations in the rectangular domain with a moving part of lower wall.
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Numerické řešení stlačitelného proudění
Prokopová, Jaroslava ; Dolejší, Vít (referee) ; Feistauer, Miloslav (advisor)
This work deals with the problem of inviscid, compressible flow in a time-dependent domain. We describe mathematical properties of the Euler equations and the system of governing equations is solved with the aid of the discontinuous Galerkin finite element method (DGFEM) in the time-indepentent domain. The main aim of this work is the study of this problem in time-dependent domains. For this reason the Arbitrary Lagrangian-Eulerian (ALE) method is presented. The governing equations are formulated in the ALE formulation and discretized in space and time by the DGFEM. Shortly we mention the shock capturing of the obtained scheme and the solution of the resulting linear system with the aid of Generalized Minimal Residual (GMRES) method. At the end of this work we present and compare results obtained by two different ALE formulations of the governing equations in the rectangular domain with a moving part of lower wall.
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Numerical solution of compressible flow
Prokopová, Jaroslava ; Feistauer, Miloslav (advisor)
This work deals with the problem of inviscid, compressible flow in a timedependent domain. We describe mathematical properties of the Euler equations and the system of governing equations is solved with the aid of the discontinuous Galerkin finite element method (DGFEM) in the time-indepentent domain. The main aim of this work is the study of this problem in time-dependent domains. For this reason the Arbitrary Lagrangian-Eulerian (ALE) method is presented. The governing equations are formulated in the ALE formulation and discretized in space and time by the DGFEM. Shortly we mention the shock capturing of the obtained scheme and the solution of the resulting linear system with the aid of Generalized Minimal Residual (GMRES) method. At the end of this work we present and compare results obtained by two different ALE formulations of the governing equations in the rectangular domain with a moving part of lower wall.
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Numerical solution of flow past an airfoil
Prokopová, Jaroslava ; Najzar, Karel (referee) ; Feistauer, Miloslav (advisor)
Nazev prace: Numorioke feseni obtekani leleckeho profilu Autor: .Javoslava Prokopova Katedra (ustav): Katedra numerieke maternal,iky Vedoucf bakalarske prace: Prof- RNDr. Miloslav Feistauer, DrSc. e-mail vedoudho: feiyf'^kaTlin.niff. ouni.cz Abstrakt: Pfedkladaiia prace se vennjo problematic^1 obtekani izolovanelio le- teckeho profilu. .Tso\ zdc popsany rovnice charaktcvizuji nova^kn, Tu^tlacitol- no. novifivc'% stacioiiarni, rovinnr proudorif a nvixUnia koni])lo1,iii cliaraktrriH- lika danclio problonm ]K)inoci ryrhloati i ijroud(jvc tunkc^. Hlavnf uaplni jo ])ak stiulium niol.ody fuukci kuinploxni promonne a melody kouecnych prvku. Pfi aplikaci tfx-hto met.orl so zainonijoino na fescni oljtokaiii Znkov- skcho profilu. Di'ky ostro odtokovo hrano tuhoto profiln jsou zdo studovany odtokovo podmiiiky a jejich vyuziti vo stiulovanych motodacU. Poslodni casti Leto prace jo srovnain' vysledkii dosazeuycli ].)omorf tool)to nu^tod pro zvo- loriy Z\ikovskoho profil. Klicova slova: neva.xke, uoatlaoitolno, lunn'ri^'e, sta.oioiu'i.nii, ruvimio proudoni; mctoda fuukei koinploxni proruonnr; moUnla k(jneciiyoh ])rvkii: Znkovskeho profil; odtokova pochuiuka Title: Numerical .solution of flow past an airfoil Author: Jaroslava Prokopova Department: Department of Numoricn,! Matlieniatica Supervisor: Prof. RNDr. Miloslav...
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Simulation of Compressible Flow in Time Dependent Domains
Prokopová, Jaroslava
This work is concerned with the numerical solution of compressible flow using finite element method in ALE (Arbitrary Lagrangian-Eulerian) formulation of the Navier-Stokes equations, their discretization in space by the discontinuous Galerkin method and introducing a semi-implicit linearized time stepping for the numerical solution of the complete problem. Some computational results are presented for flow in a channel with a moving wall.
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