A robust and accurate numerical method for transcritical turbulent flows at supercritical pressure with an arbitrary equation of state

作者：Kawai Soshi^*; Terashima Hiroshi; Negishi Hideyo

来源：Journal of Computational Physics, 2015, 300: 116-135.

DOI：10.1016/j.jcp.2015.07.047

• Supercritical fluid
• Transcritical condition
• Real fluid effects
• Spurious-oscillation-free property
• Transcritical contact surface capturing
• High-order accurate schemes

This paper addresses issues in high-fidelity numerical simulations of transcritical turbulent flows at supercritical pressure. The proposed strategy builds on a tabulated look-up table method based on REFPROP database for an accurate estimation of non-linear behaviors of thermodynamic and fluid transport properties at the transcritical conditions. Based on the look-up table method we propose a numerical method that satisfies high-order spatial accuracy, spurious-oscillation-free property, and capability of capturing the abrupt variation in thermodynamic properties across the transcritical contact surface. The method introduces artificial mass diffusivity to the continuity and momentum equations in a physically-consistent manner in order to capture the steep transcritical thermodynamic variations robustly while maintaining spurious-oscillation-free property in the velocity field. The pressure evolution equation is derived from the full compressible Navier-Stokes equations and solved instead of solving the total energy equation to achieve the spurious pressure oscillation free property with an arbitrary equation of state including the present look-up table method. Flow problems with and without physical diffusion are employed for the numerical tests to validate the robustness, accuracy, and consistency of the proposed approach.

• 出版日期2015-11-1