Compressible swirling flow into a constant volume cylinder
The adiabaticly compressed swirling flow into a cylinder is calculated numerically in the low Mach number limit. In this limit the spatial derivatives of pressure and density vanish, such that only the time variation of density in the continuity equation is taken into account. The velocity is decomposed into an irrotational compressible and a rotational incompressible part. This leads to two Poisson equations for the potential function and the stream function, respectively, which are solved by a relaxation method. In addition to these the vorticity equation and the equation for the tangential velocity are solved by an ADI-technique. The Poisson equation for the potential function has a constant r.h.s. and is solved before the time-dependent calculation. Therefore only three time-dependent p.d.e.s are to be solved rather than four as in the formulation in primitive variables.
KeywordsPoisson Equation Tangential Velocity Adiabatic Compression Vorticity Equation Primitive Variable
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