| SCHEMES TO COMPUTE UNSTEADY FLASHING FLOWS Michel Barret (2003) | |||||||||||||||
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Abstract | |||||||||||||||
| We provide herein some ways to compute flashing flows in variable cross section ducts, focusing on the Homogeneous Relaxation Model. The basic numerical method relies on a splitting technique which is consistent with the overall entropy inequality. The cross section is assumed to be continuous, and the Finite Volume approach is applied to approximate homogeneous equations. Several suitable schemes to account for complex Equation Of State (EOS) are discussed namely : Rusanov scheme, an approximate form of Roe scheme, and VFRoe scheme with help of non conservative variables. In order to evaluate respective accuracy, the homogeneous Euler equations are computed first, and the L error norm of transient solutions of shock tube experiments are plotted. It is shown that Rusanov scheme is indeed less accurate, which balances the fact that it enjoys interesting properties, since it preserves the positivity of the mean density, and the maximum principle for the vapour quality. Eventually, computations of real cases are presented, which account for mass transfer term, and time-space dependent cross sections. 1. | |||||||||||||||
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