针对当前数据传递应用中径向基函数存在的问题,提出一种基于几何尺度进行归一化的高超声速飞行器多场耦合数据传递新方法,并采用高超声速翼面和翼身组合体外形算例测试了该方法对径向基函数数据传递精度、效率以及通量守恒性带来的影响。研究结果表明该方法能够很好地提升TPS、MQ和紧支C2三种常用基函数的插值精度和通量守恒性,尤以紧支c。基函数提升效果最明显,使其能够用极少的点即达到TPS和MQ全域基函数的效果,实现了数据传递时效率、精度及通量守恒性的兼顾,在多场耦合数值模拟中具备较好的应用前景。
In order to solve the existing problems in the current RBF applications, a new improvement scheme based on scaling the mesh by geometry size in three dimensions is proposed. The airfoil and wing-body two different cases are adopted to exam the effect of this new method on accuracy, efficiency and conservation. The test results indicate that these three widely used radial basis functions TPS, MQ and Compact Support C2 all can achieve improvements in accuracy and boundary heat flux conservation after adopting this new method. Particularly, the Compact Support C2 function has the most significant improvement. It shows obviously that with this method, Compact Support C2 function achieves a good balance between the accuracy and efficiency and has a great application prospect in fluid-thermal-structure coupling data transfer applications.