Abstract. 

A numerical method is considered to predict 2D unsteady convective heat transfer by weakly compressible liquid in cavities of various forms with a number of dynamic and temperature boundary conditions in “stream function-vorticity-temperature” variables. A splitting finite-difference scheme is used, which is linearized on convective terms, written in a special way. Here is developed a noniterative implementation of the vorticity evaluation on a boundary. A flow in a channel with a square cavity on the bottom, and also a buoyancydriven flow in a square cavity with side walls of different temperature are modeled.

Keywords: 

Navier-Stokes equations, Poisson equation, vorticity, stream function, Thom condition, convective heat transfer.

PP. 41-51.

DOI: 10.14357/20790279240106 

EDN: SQPZDV

 

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