To solve the problem of inaccurate boundary identification and to eliminate the spurious pressure oscillation in the previously developed immersed smoothed point interpolation method (IS-PIM), a new sharp-interface IS-PIM combining mass conservation algorithm, called Sharp-ISPIM-Mass, is proposed in this work. Based on the so called sharp-interface method, the technique of quadratic local velocity reconstruction has been developed by combining with the mass conservation algorithm, which enables the present method improve the accuracy of the velocity field and satisfy the mass conservation condition near the boundary field. So the proposed method would not encounter the problem of spurious mass flux. In addition, a new form of FSI force evaluation considering pressure and viscous force to perform a whole function from the fluid domain to fictitious fluid domain is introduced, which makes the present method obtain more accurate results of FSI force than the original one. Through the numerical studies of a number of benchmark examples, the performance of the Sharp-ISPIM-Mass has been examined and illustrated.

中文翻译：

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具有改善的质量守恒性的尖锐界面浸入式平滑点插值方法，用于流固耦合问题

为了解决边界识别不准确的问题并消除先前开发的浸入式平滑点插值方法（IS-PIM）中的杂散压力振荡，一种新的结合了质量守恒算法的夏普界面IS-PIM，称为Sharp-ISPIM-Mass，在这项工作中提出。在所谓的尖锐界面法的基础上，结合质量守恒算法，发展了二次局部速度重构技术，使本方法提高了速度场的精度，满足边界场附近的质量守恒条件。 。因此，所提出的方法不会遇到寄生质量通量的问题。此外，介绍了一种考虑压力和粘性力来执行从流体域到虚拟流体域的整体功能的FSI力评估的新形式，这使本方法比原始方法获得了更准确的FSI力结果。通过对多个基准示例的数值研究，对Sharp-ISPIM-Mass的性能进行了检查和说明。