Application of a new single staggered grid method to the heat-transfer problems

Xin Liang, Guan-Nan Liu
2019 Thermal Science  
Original scientific paper https://doi.org/10.2298/TSCI180612075L In this paper, a new single staggered grid method is proposed to solve the fluid dynamic problems numerically. The advantages of the new grid method are analyzed in comparison with the classical grid algorithms such as the staggered grids, collocated grids and semi-staggered grids. The discretization of the basic equations for the fluid dynamics on the new single staggered grids is derived and the corresponding SIMPLE algorithm is
more » ... introduced. As an example, the heat transfer problem of fluid-flow at a right angle is solved to prove the validity of the new single staggered grid method. This is an open access article distributed under the CC BY-NC-ND 4.0 terms and conditions k -thermal diffusion coefficient, [m 2 s -1 ] p -fluid pressure, [Pa] T -temperature, [°C] t -time, [s] u -fluid velocity component in x-direction, [ms -1 ] v -fluid velocity component in y-direction, [ms -1 ] Δx -grid interval in x-direction, [m] Δy -grid interval in y-direction, [m] Greek symbols µ -fluid dynamic viscosity, [Pas] ρ -fluid density, [kgm -3 ]
doi:10.2298/tsci180612075l fatcat:rnlowalfbjebzhhsktnswyw7la