Simultaneous solution algorithms for Eulerian-Eulerian gas-solid flow models: Stability analysis and convergence behaviour of a point and a plane solver

作     者：De Wilde, J Vierendeels, J Heynderickx, GJ Marin, GB 

作者机构：State Univ Ghent Petrochem Tech Lab B-9000 Ghent Belgium State Univ Ghent Dept Fluid Heat & Combust Mech Fluid Mech Lab B-9000 Ghent Belgium 

出 版 物：《JOURNAL OF COMPUTATIONAL PHYSICS》 (计算物理学杂志)

年 卷 期：2005年第207卷第1期

页      面：309-353页

核心收录：

学科分类：07[理学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 0702[理学-物理学] 

基　　金：FCC-research IWT-Vlaanderen, (IWT/OZM/020059) Instituut voor de aanmoediging van Innovatie door Wetenschap en Technologie in Vlaanderen 

主　　题：gas-solid flow Eulerian-Eulerian approach numerical algorithm simultaneous solution algorithm stability analysis point solver plane solver preconditioning advection upstream splitting method riser 

摘      要：Simultaneous solution algorithms for Eulerian-Eulerian gas-solid flow models are presented and their stability analyzed. The integration algorithms are based on dual-time stepping with fourth-order Runge-Kutta in pseudo-time. The domain is solved point or plane wise. The discretization of the inviscid terms is based on a low-Mach limit of the multi-phase preconditioned advection upstream splitting method (MP-AUSMP). The numerical stability of the simultaneous solution algorithms is analyzed in 2D with the Fourier method. Stability results are compared with the convergence behaviour of 3D riser simulations. The impact of the grid aspect ratio, preconditioning, artificial dissipation, and the treatment of the source terms is investigated. A particular advantage of the simultaneous solution algorithms is that they allow a fully implicit treatment of the source terms which are of crucial importance for the Eulerian-Eulerian gas-solid flow models and their solution. The numerical stability of the optimal simultaneous solution algorithm is analyzed for different solids volume fractions and gas-solid slip velocities. Furthermore, the effect of the grid resolution on the convergence behaviour and the simulation results is investigated. Finally, simulations of the bottom zone of a pilot-scale riser with a side solids inlet are experimentally validated. (c) 2005 Elsevier Inc. All rights reserved.