【WS-FTNCFD-2022|潘亮】高精度气体动理学格式与湍流的数值模拟

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风流知音(FLOWS:Physics & beyond)【WS-FTNCFD-2022|潘亮】高精度气体动理学格式与湍流的数值模拟CFDST (2022年8月13日)1045

高精度气体动理学格式与湍流的数值模拟

潘亮

北京师范大学

专家简介：

潘亮，北京师范大学数学科学学院副教授。主要研究方向为可压缩流动的高精度数值方法和气体动理学格式等，研究内容包括高精度气体动理学格式、非结构网格上的高精度格式、可压缩湍流的数值模拟、高精度ALE格式、多介质流动的气体动理学格式等。在《Journal of Computational Physics》、《Computers and Fluids》、《Journal of Scientific Computing》等高水平期刊上发表科研论文25篇，主持国家自然科学基金项目青年项目，中国博士后科学基金面上项目一等资助和北京师范大学青年教师基金等项目。

报告摘要：

The high-order gas-kinetic scheme (HGKS) has achieved success in simulating compressible flows. The gas-kinetic scheme presents a gas evolution process from kinetic scale to hydrodynamic scale, where both inviscid and viscous fluxes can be recovered from the time-dependent and multi-dimensional gas distribution function at a cell interface. Based on the time-dependent flux function, a two-stage fourth-order method was developed for Lax-Wendroff type flow solvers, particularly applied for the hyperbolic conservation laws. Under the multi-stage multi-derivative framework, a reliable two-stage fourth-order GKS has been developed, and even higher-order of accuracy can be achieved. More importantly, this scheme is as robust as the second-order scheme and works perfectly from subsonic to hypersonic flows. Numerical results validate the outstanding reliability and applicability, such as direct numerical simulation for compressible turbulences. Recently, the high-order gas-kinetic scheme on the hybrid unstructured meshes are developed as well. To accelerate the computation, the current scheme is implemented with the graphics processing unit GPU. The speedup of GPU code suggests the potential of high-order gas-kinetic schemes for the large scale computation.