论文标题
在跟踪流体界面中离散统一气体运动方案的高阶重建的性能评估
Performance evaluation of high-order reconstruction for discrete unified gas-kinetics scheme in tracking fluid interfaces
论文作者
论文摘要
随着研究的明显增加，集中于在介观方法框架中对微流体界面进行建模，我们在处理复杂界面变形的处理中对离散的统一气体运动学方案（DUGK）进行了详尽的研究。高阶各向同性有限差异方案首先在Dugks中用于提高其在跟踪界面方面的能力。还首次评估了源术语的第三阶段三阶DGK的性能，并进行了一系列数值测试以研究其能力。比较分析揭示了晶格Boltzmann方法的性能优于离散速度方法的性能，而从知情的角度来看，在一般情况下处于一般情况下。在邓吉克斯中介质施工中使用的中心方案与上风方案之间的性能区别背后的机制也得到了阐明。数值结果表明，在Dugks中高阶方案的使用确实会影响减少数值耗散，但是该方法的总体准确性受到网格界面上源项的预测精确性的限制。第三阶段三阶Dugks的能力因其内在限制的时间步长与粒子碰撞时间的比率严重抑制。在具有不同重建方法的各种野狗中，最有前途的方案是具有三阶各向同性重建和基于前风的中液升级评估的方案，该方案能够确保效率和准确性之间的独特平衡。
With a noticeable increase in research centered on modeling micro fluid interfaces in the framework of mesoscopic methods, we conduct an exhaustive study of discrete unified gas-kinetics scheme (DUGKS) in handling complicated interface deformations. High-order isotropic finite-difference schemes are first utilized in DUGKS to improve its capability in tracking interfaces. The performance of third-stage third-order DUGKS where source term is incorporated has also been assessed for the first time and a series of numerical tests have been conducted to investigate their capability. The comparative analysis have revealed the reason why the performance of lattice Boltzmann method is superior to that of discrete velocity method and DUGKS in general condition from an informed perspective. The mechanism behind the performance distinction between the central scheme and upwind scheme utilized in meso-flux construction in DUGKS have also been clarified. Numerical results have shown that the employment of high-order schemes in DUGKS does have an effect on the reduction of numerical dissipation, but the overall accuracy of this method is limited by the precision of prediction of source terms on mesh interface. The capability of third-stage third-order DUGKS is severely inhibited by its intrinsic limitation of the ratio of time step to particle collision time. Among the various kinds of DUGKS employed with different reconstruction methods, the most promising scheme is the one with third-order isotropic reconstruction and upwind-based meso-flux evaluation, which is able to ensure an unique balance between efficiency and accuracy.
