The numerical solution of compressible flows in time dependent domains

Kučera, Václav; Česenek, Jan

Displaying similar documents to “The numerical solution of compressible flows in time dependent domains”

Numerical solution of inviscid incompressible flow in a channel with dynamical effects

Honzátko, Radek, Horáček, Jaromír, Kozel, Karel

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Numerical solution of unsteady 2D inviscid incompressible flows described by Euler equations over the vibrating profile NACA 0012 in a channel is studied. The finite volume method (FVM) and a higher order cell-centered scheme with an artificial dissipation at a qudrilateral C-mesh is used. The method of artificial compressibility and the time dependent method are used for steady state solutions. Numerical results are compared with experimental data.

A numerical study of non-cavitating and cavitating liquid flow around a hydrofoil

François Beux, Maria-Vittoria Salvetti, Alexey Ignatyev, Ding Li, Charles Merkle, Edoardo Sinibaldi (2005)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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The results of a workshop concerning the numerical simulation of the liquid flow around a hydrofoil in non-cavitating and cavitating conditions are presented. This workshop was part of the conference “Mathematical and Numerical aspects of Low Mach Number Flows” (2004) and was aimed to investigate the capabilities of different compressible flow solvers for the low Mach number regime and for flows in which incompressible and supersonic regions are simultaneously present. Different physical...

On numerical solution of compressible flow in time-dependent domains

Miloslav Feistauer, Jaromír Horáček, Václav Kučera, Jaroslava Prokopová (2012)

Mathematica Bohemica

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The paper deals with numerical simulation of a compressible flow in time-dependent 2D domains with a special interest in medical applications to airflow in the human vocal tract. The mathematical model of this process is described by the compressible Navier-Stokes equations. For the treatment of the time-dependent domain, the arbitrary Lagrangian-Eulerian (ALE) method is used. The discontinuous Galerkin finite element method (DGFEM) is used for the space semidiscretization of the governing...

A numerical study of non-cavitating and cavitating liquid flow around a hydrofoil

François Beux, Maria-Vittoria Salvetti, Alexey Ignatyev, Ding Li, Charles Merkle, Edoardo Sinibaldi (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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An efficient implementation of the semi-implicit discontinuous Galerkin method for compressible flow simulation

Dolejší, Vít

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We deal with a numerical simulation of the inviscid compressible flow with the aid of the combination of the discontinuous Galerkin method (DGM) and backward difference formulae. We recall the mentioned numerical scheme and discuss implementation aspects of DGM, particularly a choice of basis functions and numerical quadratures for integrations. An illustrative numerical example is presented.

An unsteady numerical solution of viscous compressible flows in a channel

Punčochářová, Petra, Kozel, Karel, Fürst, Jiří, Horáček, Jaromír

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The work deals with numerical solution of unsteady flows in a 2D channel where one part of the channel wall is changing as a given function of time. The flow is described by the system of Navier-Stokes equations for compressible (laminar) flows. The flow has low velocities (low Mach numbers) and is numerically solved by the finite volume method. Moving grid of quadrilateral cells is considered in the form of conservation laws using ALE (Arbitrary Lagrangian-Eulerian) method. ...