Research on Point Finding Strategy of Flexible-node Difference Method Based on Gradient
Aiming at the calculation of the flow field information at the hybrid grid interface,this paper introduces a flexible-node difference finite method suitable for disordered grid points,which realizes the differential calculation of the flow field at the interface of overlapping grids,avoiding the traditional interpolation method additional errors.The calculation template of the flexible-node finite difference method needs to select the appropriate point composition from the point cloud around the calculation point.Different point selection strategies will affect the quality of the calculation template,resulting in differences in calculation accuracy.There are usually strong discontinuities in the supersonic flow field,and the gradient changes sharply at the discontinuity.The gradient change will affect the structure of the calculation template,and then affect the calculation accuracy of the flow field.In order to reflect the change of the flow field gradient in the calculation template,this paper proposes a calculation template construction idea that comprehensively considers the flow field gradient and grid geometry factors,and gives several specific point selection strategies,and uses numerical experiments to test different strategies.Through comparative analysis,the optimal scheme is determined.Numerical test results show that compared with the point selection strategy that only considers the grid geometry factors,the comprehensive point selection strategy has higher calculation accuracy,and can be used as a point selection method for the calculation template of the flexible-node finite difference method,resulting in more accurate computational results for the flexible-node finite difference method.
NETL
NSTL
万方数据
维普
