A Semi-Implicit Fractional Step Method Immersed Boundary Method for the Numerical Simulation of Natural Convection Non-Boussinesq Flows  

作　　者：Dmitry Zviaga Ido Silverman Alexander Gelfgat Yuri Feldman 

机构地区：[1]Department of Mechanical Engineering,Ben-Gurion University of the Negev,P.O.Box 653,Beer-Sheva 84105,Israel [2]Soreq Nuclear Research Center,81000 Yavne,Israel [3]School of Mechanical Engineering,Tel Aviv University,Tel Aviv 6997801,Israel

出　　处：《Communications in Computational Physics》2022年第8期737-778,共42页计算物理通讯（英文）

基　　金：financial support for this work(grant 218-11-038).

摘　　要：The paper presents a novel pressure-corrected formulation of the immersed boundary method(IBM)for the simulation of fully compressible non-Boussinesq natural convection flows.The formulation incorporated into the pressure-based fractional step approach facilitates simulation of the flows in the presence of an immersed body characterized by a complex geometry.Here,we first present extensive grid independence and verification studies addressing incompressible pressure-driven flow in an extended channel and non-Boussinesq natural convection flow in a differentially heated cavity.Next,the steady-state non-Boussinesq natural convection flow developing in the presence of hot cylinders of various diameters placed within a cold square cavity is thoroughly investigated.The obtained results are presented and analyzed in terms of the spatial distribution of path lines and temperature fields and of heat flux values typical of the hot cylinder and the cold cavity surfaces.Flow characteristics of multiple steady-state solutions discovered for several configurations are presented and discussed in detail.

关 键 词：Natural convection non-Boussinesq flows pressure-corrected immersed boundary method multiple steady state solutions 

分 类 号：O17[理学—数学]