柱坐标系强守恒型动量方程离散方法研究

For the sake of a unified form and easy programming implementation, researchers have transformed the momentum equation form in the cylindrical coordinate system in a variety of ways, which results in the unknown conservation properties or further quantitative verification. This study uses the basis vector relations of the cylindrical coordinate system to obtain the component forms of the strong conservation equations in tensor form and then presents the corresponding discrete processes and discrete outcomes using the AUSM methodology. It has been established that the momentum equations developed in this paper can strictly satisfy the conservation under arbitrary grid, whereas the conservation cannot be satisfied by putting some terms into the source term, and a large number of grids are necessary to ensure the accuracy of the computational results. The findings presented in this paper can be used as a guide when applying strong conservation momentum equations.