The paper presents a solution algorithm for variable density non-isothermal flows based on
a high-order compact difference approximation combined with the projection method …

In problems involving simultaneous heat and mass transfer there exist coupling between
these phenomena: temperature gradient may cause mass flux (Soret effect) and …

To investigate how the nonuniform fluid density distribution caused by large temperature
variations affects the development of unsteady natural convection, we perform a series of …

Discrete unified gas-kinetic scheme (DUGKS) has been developed as a robust and accurate
approach for thermal compressible flow simulations; however, designing an efficient and …

Natural convection is widely observed in various scales of natural phenomena and industrial
applications. The low Mach number (ie, low-velocity) natural convection, especially under …

This paper aims to study the effects of air variable properties in the transient case of the
classical differentially heated square cavity problem. A SIMPLE algorithm using a low Mach …

In this paper, five different algorithms are presented for the simulation of low Mach flows with
large temperature variations, based on second‐order central‐difference or fourth‐order …

We offer a synthetic exposition on the state of the art for Computational Fluid Dynamics
(CFD) relevant to the Navier–Stokes equations with the Boussinesq approximation …

An open-source code, OpenFOAM, and two commercial finite volume packages are
benchmarked for accuracy and convergence speed in solving steady natural convection …

Discrete unified gas-kinetic scheme (DUGKS) has been developed recently as a general
method for simulating flows at all Knudsen numbers. In this study, we extend DUGKS to …