High order finite-volume WENO scheme for five-equation model of compressible two-fluid flow. (1st December 2018)

• Record Type: Journal Article
• Authors: Rehman, Asad; Qamar, Shamsul
• Is Part Of: Computers & mathematics with applications. Volume 76:issue 11/12(2018)
• Page Start: 2648
• Page End: 2664
• Publication Date: 2018-12-01
• Subjects: Two-fluid flow -- Non-conservative source terms -- Weighted essentially non-oscillatory scheme -- TVD Runge–Kutta method -- Third order accuracy; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2018.09.002
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: High order finite-volume weighted essentially non-oscillatory (WENO) scheme is applied for solving interface-capturing five-equation model of compressible two-fluid flows in one and two-space dimensions. The model is non-conservative and the governing equations consist of three equations, namely a continuity equation, a momentum equation and an energy balance equation for the fluid mixture and the remaining two are mass and energy equations for one of the two fluids. In the last equation, the non-conservative differential source term appears which is responsible for the energy exchange between fluids. The energy exchange is only due to mechanical work. The presence of non-conservative differential source terms in the two-fluid flow model introduce difficulties in developing high order accurate numerical schemes. The proposed numerical scheme is capable to preserve non-oscillatory property near strong discontinuities and gives high order accuracy in smooth regions. Different one and two-dimensional test problems are considered to analyze efficiency and accuracy of the proposed numerical algorithms. For validation, the solutions of proposed numerical scheme are compared with the results of already available high order kinetic flux-vector splitting scheme and discontinuous Galerkin scheme.