A Dimension Splitting Method for 3-D Incompressible Thermal Flow

Abstract

This work deals with the computation of three-dimensional incompressible thermal flow, and a dimension splitting method is proposed for this. First, a time-space iterative method is adopted to obtains Euler implicit/explicit scheme. For the remaining Stokes equations we present a projection method to deal with the incompressibility constraint. In conclusion, only three independent linear elliptic equations need to be calculated at each step. Furthermore, on account of the splitting property of the method, all the computations are carried out on two-dimensional manifolds, which greatly reduces the difficulty and the computational cost in mesh generation, and a coarse-grained parallel algorithm can be constructed.