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Currently displaying 1 – 3 of 3

Order by Relevance | Title | Year of publication

Analysis of incompressible flow through a cascade of profiles

Neustupa, Tomáš — 2004

Programs and Algorithms of Numerical Mathematics

The paper deals with analysis of mathematical model of incompressible viscous nonstationary flow through a plane cascade of profiles. We formulate the nonstationary problem and construct a solution by means of semidiscretization in time (Rothe's method).

On uniqueness of a weak solution to the steady Navier-Stokes problem in a profile cascade with a nonlinear boundary condition on the outflow

Neustupa, Tomáš — 2008

Programs and Algorithms of Numerical Mathematics

The maximum regularity property of the steady Stokes problem associated with a flow through a profile cascade in $L^{r}$ -framework

Tomáš Neustupa — 2023

Applications of Mathematics

We deal with the steady Stokes problem, associated with a flow of a viscous incompressible fluid through a spatially periodic profile cascade. Using the reduction to domain $Ω$ , which represents one spatial period, the problem is formulated by means of boundary conditions of three types: the conditions of periodicity on curves $Γ_{-}$ and $Γ_{+}$ (lower and upper parts of $\partial Ω$ ), the Dirichlet boundary conditions on $Γ_{in}$ (the inflow) and $Γ_{0}$ (boundary of the profile) and an artificial “do nothing”-type boundary condition...

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