About: Qualitative theory and numerical analysis of problems in fluid dynamics

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rdf:type	http://linked.opendata.cz/ontology/domain/vavai/Projekt
rdfs:seeAlso	http://www.isvav.cz/projectDetail.do?rowId=GA201/99/0267
Description	The project is concerned with the investigation of qualitative properties of equations describing viscous incompressible as well as compressible flow for various types of constitutive and closure equations. The main attention is paid to the existence ofsolutions, their stability and asymptotic behavior. Further subject is the development and theoretical analysis of robust reliable numerical methods for the solution of incompressible and compressible flow and convection - diffusion problems with the aiof the finite element and finite volume methods and the hp - version of the finite element method. The developed methods will be applied to the solution of problems in technology and ecology.Main goals of the project: - to derive sufficient conditions for the stability of some types of flow - to contribute to the mathematical theory of self - propelled bodies - to develop higher order schemes and a posteriori error estimates - to analyze numerical methods for the solution of coupled processes and i (en) Projekt se zabývá vyšetřováním kvalitativních vlastností rovnic popisujících vazké nestlačitelné a stlačitelné proudění pro různé typy konstitutivních a uzavíracích rovnic. Hlavní pozornost je věnována existenci řešení, jeho stabilitě a asymptotickému chování. Dále budou vyvíjeny a teoreticky analyzovány robustní a spolehlivé numerické metody pro řešení nestlačitelného i stlačitelného proudění a konvektivně difuzních procesů pomocí metody konečných prvků, konečných objemů a hp - verze metody konečnýchprvků. Vypracované metody budou aplikovány na řešení problémů techniky a ekologie. Hlavní cíle projektu: - odvodit postačující podmínky stability pro některé typy proudění - rozvíjet matematickou teorii samopoháněných těles - rozvíjet schémata vyššíhořádu přesnosti a aposteriorní odhady chyb - analyzovat numerické metody pro řešení kombinovaných procesů a interakci tekutin a struktur
Title	Qualitative theory and numerical analysis of problems in fluid dynamics (en) Kvalitativní teorie a numerická analýza problémů dynamiky tekutin
skos:notation	GA201/99/0267
http://linked.open...avai/cep/aktivita	Standard projects
http://linked.open...kovaStatniPodpora	http://linked.opendata.cz/resource/domain/vavai/projekt/GA201%2F99%2F0267/celkovaStatniPodpora
http://linked.open...ep/celkoveNaklady	http://linked.opendata.cz/resource/domain/vavai/projekt/GA201%2F99%2F0267/celkoveNaklady
http://linked.open...datumDodatniDoRIV	2003-04-01 (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	743303
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.../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	68 (xsd:int)
http://linked.open...enychVysledkuVRIV	68 (xsd:int)
http://linked.open...iciPoslednihoRoku	2002
http://linked.open...atUdajeProjZameru	2002
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	Projekt přinesl řadu původních výsledků zaměřených jednak na kvalitativní analýzu dynamiky tekutin, jednak na numerické vyšetřování proudění tekutin. V teoretické oblasti šlo především o vyšetřování regularity slabých řešení, analýzu stability a vyšetřov (cs)
http://linked.open...tniCyklusProjektu	ZBKU
is http://linked.open...vavai/riv/projekt of	Incompressible non-Newtonian fluids: Time asymptotic behaviour of weak solutions Finite Volume Solution of 2D and 3D Euler and Navier-Stokes Equations Estimates of Oseen Kernels in Weighted Lp Spaces Laplace equation in the half-space with a nonhomogeneous Dirichlet boundary condition. Vanishing viscosity method for incompressible fluids. An Interior Regularity of a Weak Solution to the Navier-Stokes Equations in Dependence on One Component of Velocity Numerical Solution of Problems with Non-Linear Boundary Conditions Numerical Results and Error Estimates for the Finite Element Solution of Problems with Nonlinear Boundary Condition on Nonpolygonal Domains Compressible viscoelastic fluids of Oldroyd type past an obstacle. Comparison of Two Finite Volume Methods for 3D Transonic Flows Throug Axial Cascades Kompozitní schémata užitá k numerickému řešení stacionárního proudění popsaného systému Eulerových rovnic Using TVD and ENO Schemes for Numerical Solution of Multidimensional System of Euler and Navier-Stokes Equations Computation of Transonic Flow Through a Radial and Axial Cascades Artificial Boundary Conditions for the Oseen System in 3D Exterior Domains Modern Schemes for Computation of Transonic Flows in Internal Aerodynamics Numerical Methods for Compressible Flow Numerical solution of 2D and 3D incompressible viscous flow problems. Numerical solution of aeroelasticity problems when considering moving boundary of the fluid. Numerical modelling of pollution dispersion in complex terrain. Numerical Solution of Incompressible Inviscid Flow through a Cascade Considering Dynamical Effects Numerical Solution of Transonic Flow in 2D and 3D Channel Using Composite Scheme On Regularity of an Axially Symmetric Weak Solution of the Navier - Stokes Equations Numerical Solution of the Flow through a 2D and 3D Backward Facing Step Numerical Solution of Internal Flow Problems by Upwind Scheme on Unstructured Grid Numerical Error for an Implementation of Higher Order Finite Element Method for Problems with Nonlinear Boundary Conditions On Singularities of Weak Solutions to the Navier - Stokes Equation Numerical Solution of 2D and 3D Transonic Flows Numerical Solution of the Flow through a 2D and 3D Backward Facing Step Numerical Simulation of 3D Transonic Flow through Cascades Numerical Solution of Inviscid and Viscous Flows Using Modern Schemes and Quadrilateral or Triangular Mesh Numerical Modelling of Pollution Dispersion in Complex Terrain Numerical Solution of Several Internal and External Flow Problems Numerical Solution of the Euler Equations in the Rotating Coordinate Frame Numerical Solution of the Flow through a 2D and 3D Backward Facing Step Tetrahaedral, Dual and Barycentric Finite Volumes in 3D Fluid Dynamics 3D Transonic Flow Computation Using Finite Volume Composite Scheme Application of Second Order TVD and WENO Schemes in Internal Aerodynamics Finite Element Method on a Nonlinear Problem On a decay rate for 1D-viscous compressible barotropic fluid equations. Numerical Modelling of Pollution Dispersion in 3D Atmospheric Boundary Layer Numerical Solution of Transonic Flows through 2D and 3D Turbine Cascades New Conditions for Local Regularity of a Suitable Weak Solution to the Navier - Stokes Equation Adaptive methods for the solution of compressible flow Adaptive techniques for compressible flow Anisotropic and Geometric Criteria for Interior Regularity of Weak Solutions to the 3D Navier-Stokes Equations A Weak Solvability of a Steady Variational Inequality of the Navier-Stokes Type with Mixed Boundary Conditions Axisymmetric Flow of Navier - Stokes Fluid in the Whole Space with Non - Zero Angular Velocity Component Pollution dispersion in complex terrain. Využití a-posteriorních odhadů chyby pro Navier-Stokesovy rovnice k adaptivnímu zjemnění sítě konečných prvků. Channel Flows and Steady Variational Inequalities of the Navier - Stokes Type Boundary Conditions for Incompressible Flows on Outlets of Channels and Variational Inequalities Estimates of Three-Dimensional Oseen Kernels in Weighted L[p] The Shadow Vector in the Lanczos Method. Some Qualitative Properties of the Navier-Stokes Equations in Exterior An Interior Regularity Criterion for an Axially Symmetric Suitable Weak Solution to the Navier-Stokes Equations Numerical Solution of 2D Steady and Unsteady Flows Using Composite Scheme Numerical Solution of the Laminar Flow Through a 2D and 3D Backward Facing Step On Possible Singularities of a Weak Solution to the Navier-Stokes Equations Numerical Solution of Inviscid Transonic Flow through 3D Axial Blade Row Numerical Solution of 3D Flow Fields Utilized for Problems of Flow through Transonic Stages Stabilization of weak solutions to compressible Navier-Stokes equations. Some Recent Results on Variational Inequalities of the Navier-Stokes Type Computations of Transonic Flow through Axial and Radial Cascades Composite Schemes on Triangular Meshes Global Behaviour of 1d-Viscous Compressible Barotropic Fluid with a Free Boundary and Large Data. Global properties of solutions to 1D-viscous compressible barotropic fluid equations with density dependent viscosity. Global behavior of one-dimensional compressible flows with vanishing viscositynear vacuum. Asymptotic properties of the steady fall of a body in viscous fluids
is http://linked.open...vavai/cep/projekt of	http://linked.opendata.cz/resource/domain/vavai/cep/ucast/GA201%2F99%2F0267/1999/ico%3A67985840 http://linked.opendata.cz/resource/domain/vavai/cep/ucast/GA201%2F99%2F0267/1999/orjk%3A11320

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