PIMS / AMI Seminar: Aixiang Huang

It is well-known that there exist many problems in numerical computation for three-dimensional nonlinear partial differential equations. For example, in solving 3D Navier-Stokes equations numerically, we need to consider the following difficulties:

1, Nonlinearity;
2, Incompressible constraint condition;
3, Complex boundary geometry;
4, Boundary layer.

In order to overcome the last two difficulties, we propose a dimension splitting method in which a three- dimensional complex flow problem is split into a series of two-dimensional sub-problems. The solution of the original 3D problem is then obtained by solving a nonlinear system with N 2D subproblems. The method presented here is different from the classical domain decomposition method; we only need to solve a 2D sub-problem in each subdomain without solving a 3D sub-problem. Numerical simulation for 3D rotating Navier-Stokes equations in turbomachinery will be reported to demonstrate the effectiveness of the proposed dimensional splitting method.