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Mathematical and computational fluid dynamics play an important role in many areas of science and technology. The project will be concerned with the analysis of qualitative properties of the incompressible and compressible Navier-Stokes equations in fixed or time-dependent domains with various types of, in general nonstandard, boundary conditions. Let us mention, e.g., the existence, uniqueness, regularity and singular limits of their solutions. On the basis of theoretical results, in the numerical part of the project, we shall develop efficient and robust techniques for the solution and validation of theoretically analyzed flow problems and models. The developed numerical methods and their ingredients, as, e.g., adaptivity and hp-methods, will be tested on suitable problems and applied to fluid-structure interaction. With the aid of model problems, theoretical aspects of the worked out methods as stability, convergence and error estimates will be investigated.
Main investigator:
Feistauer Miloslav
IM leaders:
Participating institutions:
Institute of Mathematics, AS CR
IM team members:
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Kreml Ondřej Mácha Václav |
Michálek Martin Nečasová Šárka |
