The CABARET method for a weakly compressible fluid flows in one- and two-dimensional implementations

31st International Conference on Equations of State for Matter

Kulikov, Yu M.^1 ; Son, E.E.^1

Joint Institute for High Temperatures, Russian Academy of Sciences, Izhorskaya 13, Moscow

125412, Russia^1

关键词: Compressible fluid flow;    Flow formations;    Method implementations;    Plane Poiseuille flow;    Pressure balancing;    Pressure differential;    Self-similar solution;    Velocity profiles;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/774/1/012094/pdf
DOI  :  10.1088/1742-6596/774/1/012094

来源: IOP

【 摘 要 】

The CABARET method implementation for a weakly compressible fluid flow is in the focus of present paper. Testing both one-dimensional pressure balancing problem and a classical plane Poiseuille flow, we analyze this method in terms of discontinuity resolution, dispersion and dissipation. The method is proved to have an adequate convergence to an analytical solution for a velocity profile. We also show that a flow formation process represents a set of self-similar solutions under varying pressure differential and sound speed.