报告人：夏银华教授

报告题目：A hybrid WENO scheme for steady-state simulations of Euler equations

报告摘要：

(1)For strong shock waves in solutions of steady-state Euler equations, high-order shock-capturing schemes usually suffer from the difficulty of convergence of residue close to machine zero. Several new weighted essentially non-oscillatory (WENO) type schemes have recently been designed to overcome this long-standing issue. In this talk, a new hybrid strategy is proposed for the fifth-order WENO scheme to simulate steady-state solutions of Euler equations. Compared with the existing WENO schemes, the hybrid WENO scheme performs better steady-state convergence property with less dissipative and dispersive errors. Meanwhile, the essentially oscillation-free feature is kept.

(2)In the hybrid strategy, the stencil is distinguished into smooth, non-smooth, or transition regions, which is realized by a simple smoothness detector based on the smoothness indicators in the original WENO method. The linear reconstruction and the specific WENO reconstruction are applied to the smooth and non-smooth regions, respectively. In the transition region, the mixture of the linear and WENO reconstructions is adopted by a smooth transitive interpolation, which plays a vital role in the steady-state convergence for the hybrid scheme. Numerical comparisons and spectral analysis are presented to demonstrate the robust performance of the new hybrid scheme for steady-state Euler equations.

报告时间：2022年11月26日下午14:00-17:00

报告形式：腾讯会议；会议号：923-542-445

获取会议密码请发邮件至：xiongmeng@hit.edu.cn

报告人简介：夏银华，中国科学技术大学数学科学学院，副教授，博士生导师。2008年于中国科学技术大学数学系获得博士学位，曾先后到美国布朗大学、香港大学、德国维堡大学等从事博士后研究和访问工作。主要从事高精度数值方法和大规模科学计算的研究，应用于计算流体、天体物理、相场问题、交通流等方面的数值模拟。相关工作发表在包括Mathematics of Computation, Journal of Computational Physics, SIAM系列期刊杂志。主持国家自然科学基金面上项目、教育部等多项科学基金项目的研究。担任美国数学会数学评论评论员、德国数学文摘评论员。