TY - JOUR
T1 - A Semi-Implicit Fractional Step Method Immersed Boundary Method for the Numerical Simulation of Natural Convection Non-Boussinesq Flows
AU - Zviaga , Dmitry
AU - Silverman , Ido
AU - Gelfgat , Alexander
AU - Feldman , Yuri
JO - Communications in Computational Physics
VL - 3
SP - 737
EP - 778
PY - 2022
DA - 2022/09
SN - 32
DO - http://doi.org/10.4208/cicp.OA-2022-0024
UR - https://global-sci.org/intro/article_detail/cicp/21044.html
KW - Natural convection non-Boussinesq flows, pressure-corrected immersed boundary method, multiple steady state solutions.
AB - <p style="text-align: justify;">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.</p>