报告人：邱建贤教授

报告题目：Positivity-preserving high order finite volume hybrid Hermite WENO schemes for compressible Navier-Stokes equations

报告摘要：

(1) In this presentation,  we construct a positivity-preserving  high order accurate finite volume hybrid Hermite Weighted Essentially Non-oscillatory (HWENO) scheme for compressible Navier-Stokes equations, by incorporating a nonlinear flux and a positivity-preserving limiter. HWENO schemes have more compact stencils than WENO schemes but with higher computational cost due to the auxiliary variables. The hybrid HWENO schemes use linear reconstructions in smooth region thus are more efficient than conventional HWENO schemes. However, the hybrid HWENO is not robust for many demanding problems.

(2) The positivity-preserving hybrid HWENO scheme in this work is not only more efficient but also much more robust than the conventional HWENO method for both compressible Euler and compressible Navier-Stokes equations, especially for solving gas dynamics equations in low density and low pressure regime. Numerical tests on low density and low pressure problems are performed to demonstrate the   robustness and the efficiency of the positivity-preserving hybrid HWENO scheme.

报告时间：2022年10月29日下午14:00-17:00

报告形式：腾讯会议；会议号：944-537-918

获取会议密码请发邮件至：yangchang@hit.edu.cn

报告人简介：邱建贤，厦门大学数学科学学院闽江学者、特聘教授，国际著名刊物“Journal of Computational Physics”(计算物理) 编委。从事计算流体力学及微分方程数值解法的研究工作，在间断Galerkin（DG）、加权本质无振荡（WENO）数值方法的研究及其应用方面取得了一些重要成果，已发表论文一百多篇。主持国家自然科学基金重点项目和联合基金重点支持项目各一项，参与欧盟第六框架特别研究项目，是项目组中唯一非欧盟的成员，获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。多次应邀在国际会议上作大会报告。