About: Mathematical modelling of motion of bodies in Newtonian and non-Newtonian fluids and related mathematical problems

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About: Mathematical modelling of motion of bodies in Newtonian and non-Newtonian fluids and related mathematical problems Goto Sponge NotDistinct Permalink

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rdf:type	http://linked.opendata.cz/ontology/domain/vavai/Projekt
rdfs:seeAlso	http://www.isvav.cz/projectDetail.do?rowId=IAA100190505
Description	In the frame of the project we will study the motion of rigid bodies in Newtonian and non-Newtonian fluids.We will investigate namely the motion of the bodies under the influence of gravity moving with constant translationar and angular velocity. We will consider the linearized models and modified Navier-Stokes equations, including the rotation of the body. With neglected linear and angular momentum of the body we will investigate the existence of solutions in appropriate weighted spaces to obtain appropriate behaviour of the solutions at infinity. We will also study the influence of various types of boundary conditions. The equation describing the motion of the body itself will be incorporated into the model and qualitative properties will be investigated and if possible proved. Next to it several models will be analyzed also from numerical point of view and numericaly treated. (en) V rámci projektu se budeme zabývat studiem pohybu těles v newtonovských a nenewtonovských tekutinách. Budeme se zabývat případem, kdy těleso padá pod vlivem gravitace v tekutině s konstantní translační a rotační rychlostí. Budeme uvažovat linearizované modely a modifikované Navier-Stokesovy rovnice, kde budeme uvažovat vliv rotace tělesa. Nejprve zanedbáme rovnice popisující pohyb tělesa a budeme vyšetřovat existenci řešení ve vhodných váhových prostorech,které charakterizují chování v nekonečnu.Dále pak budeme vyšetřovat různé typy okrajových podmínek. V dalším studiu pak zahrneme i rovnice tělesa a budeme vyšetřovat silné a slabé řešení tohoto problému a jeho asymptotiku.Tyto modely jsou používány například pro popis proudění v cévních systémech. Pro kapiláry jsou naopak vhodné modely nenewtonovské, jimiž se též budeme zabývat. K vybraným modelům bude provedena numerická analýza včetně numerické simulace.
Title	Mathematical modelling of motion of bodies in Newtonian and non-Newtonian fluids and related mathematical problems (en) Matematické modelování pohybu těles v newtonovských a nenewtonovských tekutinách a s tím související matematické problémy
skos:notation	IAA100190505
http://linked.open...avai/cep/aktivita	Grants of distinctly investigative character focused on the sphere of research pursued at present particularly in the Academy of Sciences of the Czech Republic
http://linked.open...kovaStatniPodpora	http://linked.opendata.cz/resource/domain/vavai/projekt/IAA100190505/celkovaStatniPodpora
http://linked.open...ep/celkoveNaklady	http://linked.opendata.cz/resource/domain/vavai/projekt/IAA100190505/celkoveNaklady
http://linked.open...datumDodatniDoRIV	2013-06-28 (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	71727770
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	motion of rigid bodies in fluids; existence; stability; attainability; Newtonian and non-Newtonian fluids; non Dirichlet boundary conditions; numerical analysis; finite volume schemes; FEM; adaptive methods; multilevel schemes (en)
http://linked.open...ep/partnetrHlavni	Matematický ústav AV ČR, v. v. i.
http://linked.open...inujicichPrijemcu	1 (xsd:int)
http://linked.open...cep/pocetPrijemcu	3 (xsd:int)
http://linked.open...ocetSpoluPrijemcu	0 (xsd:int)
http://linked.open.../pocetVysledkuRIV	46 (xsd:int)
http://linked.open...enychVysledkuVRIV	46 (xsd:int)
http://linked.open...lneniVMinulemRoce	2007-02-27 (xsd:date)
http://linked.open.../prideleniPodpory	http://linked.opendata.cz/resource/domain/vavai/cep/prideleniPodpory/IAA100190505
http://linked.open...iciPoslednihoRoku	2007
http://linked.open...atUdajeProjZameru	2008
http://linked.open.../vavai/cep/soutez	SAV02005-A
http://linked.open...usZobrazovaneFaze	DUU
http://linked.open...ai/cep/typPojektu	P - Projekt výzkumu a vývoje financovaný ze státního rozpočtu
http://linked.open...ep/ukonceniReseni	2007-12-01 (xsd:date)
http://linked.open.../cep/vedlejsiObor	BK - Mechanika tekutin
http://linked.open...ep/zahajeniReseni	2005-01-01 (xsd:date)
http://linked.open...jektu+dodavatelem	Existence a jednoznačnost řešení problémů popisujících stacionární poudění tekutin kolem rotujícího tělesa, existence řešení problému pohybujících se těles v nenewtonovské tekutině a v multipolární tekutině (neexistence kolisí), numerické simulace. (cs) Existence and uniqueness of solutions to problems of the steady flow around a rotating body, existence of a solution of the problem of moving bodies in a non-Newtonian fluid and in a multipolar fluid (nonexistence of collisions), numerical simulations. (en)
http://linked.open...tniCyklusProjektu	ZBKU
http://linked.open.../cep/klicoveSlovo	FEM Newtonian and non-Newtonian fluids adaptive methods attainability existence finite volume schemes non Dirichlet boundary conditions numerical analysis stability motion of rigid bodies in fluids
is http://linked.open...vavai/riv/projekt of	Numerical Solution of 2D and 3D Incompressible Laminar Flows through a Branching Channel Numerical Solution of Steady Flow in Angular Bypass in 2D and 3D Numerical Solution of Newtonian and Non Newtonian Flows in Channel Numerical Solution of Steady Flow in Angular Bypass in 2D and 3D On the choice of the SUPG parameter at outflow boundary layers (DOI 10.1007/s10444-008-9075-6) On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations: Part II - Analysis for P1 and Q1 finite elements On the choice of the SUPG parameter at outflow boundary layers Strong solutions to the Stokes equations of a flow around a rotating body in weighted Lq spaces On the inf-sup condition for the P3mod/P2disc element Numerical simulation of the free fall of a rigid body in a viscous fluid On the steady fall of a rigid body in Oseen plow-weighted approach L 2 estimates of weak solutions in weighted Sobolev spaces to the Oseen-type equations for rotating body L a approach of weak solutions of the Oseen flow arond a rotating body Elliptic Differential Equations: Linear Theory On the essential spectrum of a Stokes-type operator arising from flow around a rotating body in the Lq framework Anisotropic L.SUP.2-estimates of weak solutions to the stationary Oseen-type equations in R.SUP.3 for a rotating body On non-effective weights in Orlicz spaces On the motion of several rigid bodies in a viscous multipolar fluid Numerical Solution of Newtonian Flow in Bypass and Non - Newtonian Flow in Branching Channels Numerical Solution of Newtonian and Non - Newtonian Fluids in the Branching Channel Numerical Solution of Bypass Flow Anisotropic L2 - Estimates of Weak Solutions to the Stationary Oseen - Type Equations in R3 for a Rotating Body On the Weak Solution to the Oseen-Type Problem Arising from Flow around a Rotating Rigid Body Lq Approach of Weak Solutions of the Oseen Flow around a Rotating Body L2 Estimates of Weak Solutions in Weighted Sobolev Spaces to the Oseen-Type Equations for a Rotating Body On the Weak Solution to the Oseen -Type Problem Arising from Flow around a Rotating Rigid Body in the Whole Space On the Steady Fall of a Rigid Body in Oseen Flow - Weighted Approach Numerical Solution of Newtonian and Non-Newtonian Flows The effective boundary conditions for vector fields on domains with rough boundaries: applications to fluid mechanics A Small Sport Aircraft Lift Flap Mechanism Kinematics Problem Solving Remarks on the Nonhomogeneous Oseen Problem Arising from Modeling of the Fluid around a Rotating Body Weighted L2 and Lq Approaches to Fluid Flow Past a Rotating Body On the performance of SOLD methods for convection-diffusion problems with interior layers On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations: Part I - A review Anisotropically Weighted Estimates of Weak Solutions to the Stationary Rotating Oseen Equations Estimates of Weak Solutions in Anisotropically Weighted Sobolev Spaces to the Stationary Rotating Oseen Equations Modelling and Simulation of Adsorption in Fixed Bed Stokes flow and Oseen flow in R3 with the Corious force On the problem of the Stokes flow and Oseen flow in R3 with Corious force arising from fluid dynamics A weighted L.q - approach to Oseen flow around a rotating body Stokes and Oseen flow with Coriolis force in the exterior domain On the asymptotic limit of the Navier-Stokes system on domains with rough boundaries A weighted Lq-approach to Stokes flow around a rotating body On the asymptotic limit of flows pas a ribbed boundary L.q-approach to weak solutions of the Oseen flow around a rotating body Lq approach of weak solutions to stationary rotating Oseen equations in exterior domains
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