报告地点：行健楼学术活动室526
邀请人：王雨顺教授
摘要：In this presentation, we introduce a fifth-order moment-based Hermite weighted essentially non-oscillatory scheme with unified stencils (termed as HWENO-U) for hyperbolic conservation laws. The main idea of the HWENO-U scheme is to modify the first-order moment by a HWENO limiter only in the time discretization using the same information of spatial reconstructions, in which the limiter not only overcomes spurious oscillations well, but also ensures the stability of the fully-discrete scheme. For the HWENO reconstructions, a new scale-invariant nonlinear weight is designed by incorporating only the integral average values of the solution, which keeps all properties of the original one while is more robust for simulating challenging problems with sharp scale variations. Compared with previous HWENO schemes, the advantages of the HWENO-U scheme are: (1) a simpler implemented process involving only a single HWENO reconstruction applied throughout the entire procedures without any modifications for the governing equations; (2) increased efficiency by utilizing the same candidate stencils, reconstructed polynomials, and linear and nonlinear weights in both the HWENO limiter and spatial reconstructions; (3) reduced problem-specific dependencies and improved rationality, as the nonlinear weights are identical for the function u and its non-zero multiple u. Besides, the proposed scheme retains the advantages of previous HWENO schemes, including compact reconstructed stencils and the utilizationof artificial linear weights. Extensive benchmarks are carried out to validate the accuracy, efficiency, resolution, and robustness of the proposed scheme.Joint work with Chuan Fan and Zhuang Zhao.
报告人简介：邱建贤，厦门大学女王调教
教授。他的主要研究方向包括计算流体力学、求解双曲守恒律等方程的高分辨数值方法等。他在间断Galerkin（DG）方法和加权本质无振荡（WENO）方法方面取得了丰硕的成果，共发表高水平学术论文160篇。主持多项国家级重点类项目，获得2020年度高等学校科学研究优秀成果奖（科学技术）--自然科学奖二等奖，2021年度福建省科学技术奖--自然科学奖二等奖。
