Study and Validation of Point-Finding Strategy for Free-Node Differential Gradient Computation Template
The mixed grid needs to exchange flow field information through interpolation at the grid interface,which will introduce interpolation errors.In the FN-FDM algorithm,it is necessary to first calculate the gradients of each grid point,and this paper requires constructing a gradient calculation template.In response to the problem of constructing gradient calculation templates,this paper comprehensively considers geometric factors such as distance and angle,proposes several different gradient calculation template point finding strategies,and determines the strategy with high calculation accuracy and efficiency through numerical experiments.The numerical experimental results show that by using the point selection strategy proposed in this paper,the computational accuracy of FN-FDM under overlapping grids is the same as that of the same order difference scheme under structural grids,which improves numerical computation efficiency to a certain extent.
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