论文标题
一种隐性动力学无粘性通量，用于预测各个速度方案的连续性流动
An implicit kinetic inviscid flux for predicting continuum flows in all speed regimes
论文作者
论文摘要
在这项研究中，动力学无关通量（KIF）得到了改进，并耦合了隐式策略。最近提出的KIF是一种无粘性通量，其显微镜机制使其擅长解决冲击波，具有对冲击不稳定性现象的优势。当开发隐式KIF时，会发现一种现象，即在边界层中的动力通量矢量分裂（KFV）部分不仅降低了准确性，而且会严重降低了Courant-Friedrichs-Lewy（CFL）数字。结果，在本文中，提出了有关如何将KFVS方法与完全热型传输（TTT）方法结合在一起的新权重。除了承认使用较大的CFL数量外，这种新的重量还带来了更准确的数值结果，例如在求解冲击波，边界层和复杂的超音速/超声流时，压力，摩擦系数和热通量。为了检查当前方法的有效性，准确性和效率，进行了六个数值测试案例，涵盖了整个速度制度，包括高超音速粘性流过圆柱体的高音粘性流动，超音双锥流动，高超音双杆流动，高超纤维赛流动，层次冲击边界相互作用，层次范围围绕横向流量段和流量流量。该方案的优点和相应的机制将进行详细讨论。
In this study, the kinetic inviscid flux (KIF) is improved and an implicit strategy is coupled. The recently proposed KIF is a kind of inviscid flux, whose microscopic mechanism makes it good at solving shock waves, with advantages against the shock instability phenomenon. When developing the implicit KIF, a phenomenon is noticed that the kinetic flux vector splitting (KFVS) part in boundary layers not only reduces the accuracy, but seriously reduces the Courant-Friedrichs-Lewy (CFL) number as well. As a result, in this paper, a new weight is proposed about how to combine the KFVS method well with the totally thermalized transport (TTT) method. Besides admitting the using of larger CFL numbers, this new weight brings about more accurate numerical results like pressure, friction coefficient and heat flux when solving shock waves, boundary layers and complex supersonic/hypersonic flows. In order to examine the validity, accuracy and efficiency of the present method, six numerical test cases, covering the whole speed regime, are conducted, including the hypersonic viscous flow past a cylinder, the hypersonic double-cone flow, the hypersonic double-ellipsoid flow, the laminar shock boundary layer interaction, the supersonic flow around a ramp segment and the lid-driven cavity flow. The advantages of this scheme and corresponding mechanisms are to be discussed in detail.
