H. Chen, K. Li and S. Wang A dimension split method for the incompressible Navier–Stokes equations in three dimensions International Journal for Numerical Methods in Fluids 73
In this paper, we describe a dimension split method (DSM) for the three-dimensional steady incompressible Navier–Stokes equations. The basic idea of DSM is that three-dimensional space is split up into a cluster of two-dimensional manifolds and then the three-dimensional solution is approximated by the solutions on these two-dimensional manifolds. Because of split property of DSM, all computation is carried out on these two-dimensional manifolds, which greatly reduces the difficulty in the mesh generation; moreover, these two-dimensional problems can be computed simultaneously.
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