非圧縮性流体の中心差分法によるCFDプログラムの開発とその検証

抄録

When we tried to solve the equation of motion of Navier-Stokes for incompressible fluid by using finite difference and forward method, it was difficult to get pressure distribution satisfying the equation of continuity. Many solutions tried to satisfy rigidly the equation of continuity. In our solution, the potential flow was chosen as the starting point of calculation, and the pressure was determined so that the divergence of the velocity did not change with time. By using this pressure distribution and the equation of motion of Navier-Stokes, the velocity distribution at the next time step was obtained, but the divergence of the obtained velocity distribution was not necessarily zero. Therefore, even if the divergence of the velocity had a value, some terms with function to converge the value to 0 in several steps were added to the relational expressions. It made possible to easily obtain solutions of flows with boundary separation by using central difference method and simple cube mesh.