报告题目：High-order hybrid multi-resolution WENO schemes on structured/unstructured grids

报告人：朱君 教授，南京航空航天大学

报告时间：2026年9月15日（星期二），16:00-17:00

报告地点：数学新楼308教室

摘要：

High-order weighted essentially non-oscillatory (WENO) schemes have been widely recognized as effective tools for solving hyperbolic conservation laws involving complex flow features such as shocks, contact discontinuities, and small-scale structures. However, their practical application in large-scale engineering problems is often hindered by substantial computational costs arising from local characteristic decompositions, smoothness indicator and nonlinear weight calculations—especially in smooth flow regions where such sophisticated treatments are unnecessary. To address this fundamental challenge, this work presents a systematic development of high-order hybrid multi-resolution WENO schemes and modified multi-resolution WENO schemes across multiple dimensions and mesh types, including structured grids, triangular grids, and tetrahedral grids. The core innovation lies in the design of novel troubled cell indicators that automatically identify discontinuous regions without introducing any problem-dependent parameters.

个人简介：

朱君，南京航空航天大学教授。研究领域为计算流体力学，主要面向航空航天、军事武器等工程领域复杂流动问题精细化模拟的国家重大需求，以“流体力学计算方法理论与应用”为研究方向，发展了高效、高可靠、强稳健的高精度数值算法，并已集成至我国航空发动机、武器装备、航空飞行器领域自主流体仿真软件，形成了“基础算法理论”到“工程应用落地”的完整研究体系，解决了流体力学高精度数值计算面临的诸多瓶颈问题。围绕上述研究方向，已发表论文140余篇，其中SCI论文120余篇（含J. Comput. Phys.30篇）；登记软件著作权30余项，申请和授权国家发明专利20余项。