About: Mathematical and numerical analysis of problems in fluid mechanics

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Attributes	Values
rdf:type	http://linked.opendata.cz/ontology/domain/vavai/Projekt
rdfs:seeAlso	http://www.isvav.cz/projectDetail.do?rowId=GA201/02/0684
Description	The project is a continuation of a long term research supported by the Grant Agency of the Czech Republic. We suggest to proceed in the following directions: Regularity of weak solutions to the Navier-Stokes equations, existence, stability and long time behaviour of solutions to compressible Navier-Stokes equations, interaction of fluids with rigid bodies, qualitative theory of higher-degree fluids, fluids with density and pressure dependent viscosity. In the area of numerical analysis we intend to tackle the following subjects: Higher-order schemes for compressible flow , adaptive methods for the mesh refinement and limiting near discontinuities, extension of finite volume - finite element methods to 3D problems, error estimates for nonlinear convection - diffusion problems, incompressible flows with moving boundaries, extension of TVD schemes to systems or more dimensions, development and analysis of implicit schemes for flow problems, development of efficient solvers for large discrete (en) Projekt je pokračováním dlouholetého výzkumu podporovaného GA ČR. Navrhujeme pokračovat ve výzkumu v následujících oblastech: Regularita slabých řešení Navierových-Stokesových rovnic, existence, stabilita a chování řešení Navierových-Stokesových rovnic stlačitelného proudění v dlouhých časových intervalech, interakce tekutin s tuhými tělesy, kvalitativní teorie tekutin vyššího řádu, vyšetřování matematických modelů pro tekutiny, jejichž vazkost závisí na hustotě a tlaku. V oblasti numerické analýzy plánujeme zabývat se následující problematikou: Metody vyššího řádu pro stlačitelné proudění, adaptivní zjemňování sítí a omezování řádu v okolí nespojitostí řešení, rozšíření kombinované metody konečných objemů a konečných prvků na 3D problémy, odhady chyb pro nelineární konvektivně-difúzní problémy, nestlačitelné proudění v oblastech s pohyblivou hranicí, rozšíření TVD schémat na systémy rovnic nebo na vícerozměrné problémy, vývoj nových implicitních metod pro problémy proudění a vývoj efektivních
Title	Mathematical and numerical analysis of problems in fluid mechanics (en) Matematická a numerická analýza problémů mechaniky tekutin
skos:notation	GA201/02/0684
http://linked.open...avai/cep/aktivita	Standard projects
http://linked.open...kovaStatniPodpora	http://linked.opendata.cz/resource/domain/vavai/projekt/GA201%2F02%2F0684/celkovaStatniPodpora
http://linked.open...ep/celkoveNaklady	http://linked.opendata.cz/resource/domain/vavai/projekt/GA201%2F02%2F0684/celkoveNaklady
http://linked.open...datumDodatniDoRIV	2008-06-02 (xsd:date)
http://linked.open...i/cep/druhSouteze	VS - Veřejná soutěž ve výzkumu a vývoji
http://linked.open...ep/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open.../cep/fazeProjektu	1564366
http://linked.open...ai/cep/hlavniObor	BA - Obecná matematika
http://linked.open...hodnoceniProjektu	V - Vynikající výsledky (s mezinárodním významem apod.). Zároveň byly splněny cíle a předpokládané výsledky uvedené ve smlouvě / rozhodnutí o poskytnutí podpory.
http://linked.open...vai/cep/kategorie	ZV - Základní výzkum
http://linked.open.../cep/klicovaSlova	Neuvedeno. (en)
http://linked.open...ep/partnetrHlavni	Matematicko-fyzikální fakulta
http://linked.open...inujicichPrijemcu	0 (xsd:int)
http://linked.open...cep/pocetPrijemcu	1 (xsd:int)
http://linked.open...ocetSpoluPrijemcu	2 (xsd:int)
http://linked.open.../pocetVysledkuRIV	77 (xsd:int)
http://linked.open...enychVysledkuVRIV	77 (xsd:int)
http://linked.open...okUkonceniPodpory	2004
http://linked.open...okZahajeniPodpory	2002
http://linked.open...iciPoslednihoRoku	2005
http://linked.open...atUdajeProjZameru	2005
http://linked.open.../vavai/cep/soutez	SGA02002GA-ST
http://linked.open...usZobrazovaneFaze	DUU
http://linked.open...ai/cep/typPojektu	P - Projekt výzkumu a vývoje financovaný ze státního rozpočtu
http://linked.open.../cep/vedlejsiObor	BK - Mechanika tekutin
http://linked.open...jektu+dodavatelem	Byly získány nové, cenné, originální výsledky v jak oblasti kvalitativních vlastností modelů popisujících různé typy proudění, tak i v oblasti numerické analýzy a simulací problémů proudění. V teorii to jsou zejména nové výsledky týkající se regularity ř (cs) New, valuable, original results were obtained both in the area of qualitative properties of models describing various types of flow, and in the area of numerical analysis and simulation of flow problems. In theory, we can mention particularly new results (en)
http://linked.open...tniCyklusProjektu	ZBKU
is http://linked.open...vavai/riv/projekt of	Computing Mean First Passage Times Matrices bu Columns Homogeneous Finite Discrete Markov Chains On the time decay of the solutions of the Navier-Stokes system Introduction to the Mathematical Theory of Compressible Flow Stability of a Steady Solution of a Semilinear Parabolic System in an Exterior Domain Experimental and numerical analysis of transonic flow Experimental and Numerical Analysis of Transonic Flow through Plane Turbine Cascade Numerical Modeling of a Various Cardiovascular Problems of a Flows Numerical Solution of a Turbulent Round Jet in Cross - Flow Numerical Simulation of Some Cardiovascular Problems Numerical Solution of Transonic Flows in 2D and 3D Axial and Radial Turbine Cascades Numerical Simulation of Transonic Flow - Internal Aerodynamic Applications On a Problem with Nonlinear Boundary Conditions On the Prediction of Complex Atmospheric Flow Including Pollution Dispersion over a Coal Depot Numerical Solution of Some 2D Incompressible Flow Using Dynamical Effects Numerical Solution of Transonic Flows in 2D and 3D Axial and Radial Turbine Cascades Numerical Solution of Turbulent Backward Facing Step and Impinging Jet Flows Numerical Solution of Several Models of Internal Transonic Flow Numerical Solution of Nonlinear Problems from Fluid Dynamics Numerical Solution of Steady and Unsteady Flow over Given Profile in a Channel Numerical Simulation of Transonic Flow in Steam Turbine Cascades - the Role of Numerical Viscosity, Grid Type and Approximation of Boundary Conditions Numerical Solution of 2D and 3D Transonic Flows over an Airfoil and a Wing Numerical Solution of Flow through a Cascade and over a Profile with Dynamical and Aeroelastic Effects A modification of a class of IAD methods Finite volume and finite element methods applied to backward facing step flows Exterior Stationary Navier-Stokes Flows in 3D with Non-Zero Velocity at Infinity: Approximation by Flows in Bounded Domains Finite Volume and Finite Element Methods Applied to Backward Facing Step Flows Flow over a Profile in a Channel with Dynamical Effects On the Navier-Stokes Equation with Boundary Conditions Based on Vorticity Numerical Solution of Transonic Flow with Condensation Numerical Solution of Inviscid Transonic Flow over Profile Numerical Solution of Flows in 3D Channel Numerical Solution of Compressible Flow in a Channel Numerical Solution of Transonic Turbulent Flow through a Turbine Cascade Numerical Solution of Unsteady Bypass Flow On the Navier-Stokes Equations with Non-Traditional Boundary Conditions Numerical Simulation of Complex Atmospheric Boundary Layer Flows Problems Numerical Solution of Flow in Backward Facing Step Numerical Modeling of Bypass Flow Numerical Modeling of Turbulent Flow through a Turbine Cascade Numerical Solution of Transonic Flows in Turbine Cascades Numerical Solution of 2D and 3D Transonic Flows - Test Cases Numerical Solution of Flow through a Cascade and over a Profile with Dynamical and Aeroelastic Effects Numerical Solution of Transonic Flow of Condensing Steam Numerical Solution of Some Cardiovascular Problem Numerical Solution of Inviscid Incompressible Flow in a Channel with Dynamical Effects Influence of mesh-dependent Korn's inequality on the convergence of nonconforming finite element schemes Convergence condition for a restarted GMRES method augmented with eigenspaces Discontinuous Galerkin method: Compromise between FV and FE schemes Numerické řešení obtékání oscilujícího profilu v kanálu Numerical Solution of Flow over a Profile Considering Dynamical and Aeroelastic Effects On 3D Stationary Exterior Navier - Stokes Flows Numerical Solution of 2D and 3D Problems of External Aerodynamics Numerical Solution of Unsteady Flow over a Profile in a Channel Numerical Solution of a Model Problem of a Flow through Cardiovascular System Numerical Methods for a Problem with Nonlinear Boundary Conditions Dynamical and Aeroelastic Effects in a Numerical Solution of Flow through a Cascade and over a Profile Analysis of the Discontinuous Galerkin Method for Nonlinear Convection-diffusion Problems Performance of Several Turbulence Models in Impinging Jet Flows Computational mathematics and computational fluid dynamics Steady fall of a rigid body in viscous fluid Mathematical and Computational Methods for Compressible Flow Mathematical and Computational Methods for Compressible Flow. Steady and unsteady flow over a profile in a channel. The Spectrum of the Rate of Deformation Tensor and Regularity of a Solution to the Navier-Stokes Equation

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