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Title: A piecewise parabolic method for barotropic two-fluid flows
Authors: Zheng, J.G. 
Lee, T.S. 
Ma, D.J.
Keywords: Barotropic two-fluid flows
Piecewise parabolic method
Tait equation of state
Issue Date: Mar-2007
Citation: Zheng, J.G., Lee, T.S., Ma, D.J. (2007-03). A piecewise parabolic method for barotropic two-fluid flows. International Journal of Modern Physics C 18 (3) : 375-390. ScholarBank@NUS Repository.
Abstract: In this paper, a third-order Piecewise Parabolic Method for barotropic two-fluid flows with Tait equation of state is presented. In transition layers between two different fluids, a mixture model system based on the assumption of equilibrium pressure is introduced. It conserves the mass of each fluid, the total momentum and energy of the mixture and is supplemented with an advection equation for the volume fraction of one of the two fluids. To close the model and recover the pressure, a nonbarotropic equation of state describing the thermodynamic properties of the mixture is used. However, in pure barotropic fluid regions, the isentropic version of Euler equations is employed. In addition, the third-order Piecewise Parabolic Method is employed to solve the model equations. The governing equations are first evolved in the Lagrangian coordinate system and then the computed results are mapped onto the fixed Eulerian grid in the following remapping step. As compared with other methods, a remarkable feature of our approach is that the scheme is third-order accurate in smooth regions of the solution and is able to give a steeper representation of discontinuities. Numerical results demonstrate satisfactory performances of this approach. © World Scientific Publishing Company.
Source Title: International Journal of Modern Physics C
ISSN: 01291831
DOI: 10.1142/S0129183107010516
Appears in Collections:Staff Publications

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