New algorithm for solving 3D incompressible viscous equations based on projection method
(1. College of Materials Science and Engineering, Taiyuan University of Technology, Taiyuan 030024, China;
2. College of Materials Science and Engineering, North University of China, Taiyuan 030051, China)
2. College of Materials Science and Engineering, North University of China, Taiyuan 030051, China)
Abstract: A new algorithm based on the projection method with the implicit finite difference technique was established to calculate the velocity fields and pressure. The calculation region can be divided into different regions according to Reynolds number. In the far-wall region, the thermal melt flow was calculated as Newtonian flow. In the near-wall region, the thermal melt flow was calculated as non-Newtonian flow. It was proved that the new algorithm based on the projection method with the implicit technique was correct through nonparametric statistics method and experiment. The simulation results show that the new algorithm based on the projection method with the implicit technique calculates more quickly than the solution algorithm-volume of fluid method using the explicit difference method.
Key words: implicit finite difference method; 3D incompressible viscous equations; projection method; nonparametric statistics