Computation of three-dimensional three-phase flow of carbon dioxide using a high-order WENO scheme
Abstract
We have developed a high-order numerical method for the 3D simulation of viscous and inviscid multiphase flow described by a homogeneous equilibrium model and a general equation of state. Here we focus on single-phase, two-phase (gas-liquid or gas-solid) and three-phase (gas-liquid-solid) flow of CO2 whose thermodynamic properties are calculated using the Span-Wagner reference equation of state. The governing equations are spatially discretized on a uniform Cartesian grid using the finite-volume method with a fifth-order weighted essentially non-oscillatory (WENO) scheme and the robust first-order centered (FORCE) flux. The solution is integrated in time using a third-order strong-stability-preserving Runge-Kutta method. We demonstrate close to fifth-order convergence for advection-diffusion and for smooth single- and two-phase flows. Quantitative agreement with experimental data is obtained for a direct numerical simulation of an air jet flowing from a rectangular nozzle. Quantitative agreement is also obtained for the shape and dimensions of the barrel shock in two highly underexpanded CO2 jets.
Keywords
Cite
@article{arxiv.1707.09772,
title = {Computation of three-dimensional three-phase flow of carbon dioxide using a high-order WENO scheme},
author = {Magnus Aa. Gjennestad and Andrea Gruber and Karl Yngve Lervåg and Øyvind Johansen and Åsmund Ervik and Morten Hammer and Svend Tollak Munkejord},
journal= {arXiv preprint arXiv:1707.09772},
year = {2017}
}
Comments
22 pages, 16 figures