Repository: Freie Universit├Ąt Berlin, Math Department

The extension of incompressible flow solvers to the weakly compressible regime

Munz , C.-D. and Roller , S. and Klein, R. and Geratz, K. J. (2003) The extension of incompressible flow solvers to the weakly compressible regime. Computers & fluids , 32 (2). 173-196 (31 ref.). ISSN 0045-7930

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Numerical simulation schemes for incompressible flows such as the SIMPLE scheme are extended to weakly compressible fluid flow. A single time scale, multiple space scale asymptotic analysis is used to gain insight into the limit behavior of the compressible flow equations as the Mach number vanishes. Motivated by these results, multiple pressure variables (MPV) are introduced into the numerical framework. These account separately for thermodynamic effects, acoustic wave propagation and the balance of forces. Discretized analogues of the averaging and large scale differencing procedures known from multiple scales asymptotics allow accurate capturing of various physical phenomena that are operative on very different length scales. The MPV approach combines the explicit numerical computation of global compression from the boundary and the long wavelength acoustics on coarse grids with an implicit pressure or pressure correction equation that formally converges to the corresponding incompressible one when the Mach number tends to zero

Item Type:Article
Uncontrolled Keywords:Numerical convergence ; Digital simulation ; Multigrid ; Kelvin Helmholtz instability ; Non viscous fluid ; Acoustic waves ; Moving wall ; Cavity flow ; Compressible fluid ; Navier-Stokes equations ; Algorithms ; Computational fluid dynamics ;
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group
ID Code:527
Deposited By: Ulrike Eickers
Deposited On:09 Jul 2009 14:16
Last Modified:09 Jul 2009 14:16

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