Abstract:
The DPLR implicit scheme has wide applications in computational fluid dynamics(CFD), because of its rapid convergence feature and flexibility for parallel computation. After the invention of DPLR by Wright M. J., its performance on multi-block structured grid has not been studied in open papers. This issue is studied as follows. Firstly, an implicit boundary condition at the interface of multi-block grids is proposed in the finite volume method(FVM) framework for Navier-Stokes equations. Secondly, the influence of grid block partition manner on the stability and convergence performance is investigated according to the numerical simulations of the flows around 2D and 3D sphere. Finally, the flow around reentry capsule, a more complex geometry is computed with more complex multi-block grid topology. The aerodynamic performance of the capsule is computed and compared with the corresponding wind tunnel test result. In addition, the simulation capability of the algorithm for complex flow is examined by the computed capsule flowfield. If grid blocks are split along solving line of DPLR, especially in the interior of boundary layer, the stability and convergence rate decrease. However, the split lines have no influence if they are in other directions. Furthermore, applications of implicit boundary conditions at the interface are helpful in improving the stability and convergence rate of the algorithm. It is also showed that DPLR combined with the implicit boundary condition at interface is capable of simulating flows around complex shape with rapid convergence rate.