Abstract

CUADRADO, ILBA; CADAVID, FRANCISCO; AGUDELO, JOHN  and  SANCHEZ, CARLOS. UNIDIMENSIONAL AND HOMOENTROPIC COMPRESIBLE FLOW MODELLING USING THE FINITE VOLUME METHOD. Dyna rev.fac.nac.minas [online]. 2008, vol.75, n.155, pp.199-210. ISSN 0012-7353.

In this paper it is presented two typical problems related with compressible flow modelling, the Riemann problem and DeHaller duct. The model was developed under one-dimensional and homentropic flow conditions, therefore, not taking into account entropy variations by heat transfer and friction. The model was constructed using Euler’s system of equations (generalized form of conservation of mass, momentum and energy) and an ideal gas state equation and then solved by finite volume methods. The spatial discretisation was made using a first order upwind scheme and the CFL number was used as stability criterion. The model results were validated by comparison with known analytical solutions of The Riemann and DeHaller problems. Deviations below 1% were obtained when CFL values were lesser than 0.1. Bigger CFL numbers (closer to 1) produced fast computer results but instabilities out of the physical phenomenon were present.

Keywords : Compressible flow; finite volume; homentropic flow; Riemann problem; DeHaller duct.

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