National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
On the problem of singular limit
Caggio, Matteo ; Ducomet, B. ; Nečasová, Šárka ; Tang, T.
We consider the problem of singular limit of the compressible Euler system confined to a straight layer Ωδ = (0, δ)×R², δ > 0. In the regime of low Mach number limit and reduction of dimension the convergence to the strong solution of the 2D incompressible Euler system is shown.
Aplikace metody přímek na úlohy proudění
Segeth, Karel ; Šolín, P.
According to the general framework of the method of lines, we split the numerical solution of the nonstationary compressible Euler equations in 1D, 2D and 3D into the three following steps: First, the system of PDE´s is semidiscretized in space. Second the smoothness and Lipschitz continuity of the right-hand-side (RHS) of the arising system of ordinary equations (ODE´s) is analyzed and its solvability is discussed. Third, classical ODE packages ( we use ODEPACK and DDASPK ) are applied to the system of ODE´s.

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