讲座主题：Numerical investigation of the 2D unsteady natural convection heat transfer equation with tempered fractional constitutive relationship

专家姓名：韦雷雷

工作单位：北方民族大学

讲座时间：2026年10月21日 16:00-17:00

讲座地点：腾讯会议：507-223-666

主办单位：烟台大学数学与信息科学学院

内容摘要：

The tempered fractional diffusion equation generalizes the classical fractional diffusion model by incorporating truncation effects to preserve finite moments and better describe nonlocal transport phenomena. This paper focuses on developing a high-order fully discrete discontinuous Galerkin (DG) method for two-dimensional (2D) unsteady natural convection heat transfer equations governed by tempered fractional constitutive relationships. We begin by designing an efficient finite difference scheme to approximate the tempered fractional derivatives. Building on this, a fully discrete DG method is formulated for the governing equations. The DG framework is particularly advantageous due to its ability to handle complex geometries, accommodate nonuniform meshes, and provide high-order accuracy with local adaptivity. The proposed scheme is rigorously proven to be stable and convergent. To accurately capture the weak singularity near $t=0$, a graded temporal mesh is employed, and a modified fully discrete DG scheme is proposed. Finally, numerical experiments are conducted to demonstrate the method＇s effectiveness and verify its accuracy.

主讲人介绍：

韦雷雷博士，北方民族大学教授，毕业于西安交通大学数学与统计学院，郑州大学计算数学博士后，澳大利亚昆士兰科技大学访问学者。主要研究间断有限元方法、非局部偏微分方程的高精度数值模拟和应用。主持完成国家自然科学基金、中国博士后面上项目、河南省科技攻关项目等各级项目13项，在CNSNS、JCAM、AMM等国际SCI期刊上发表50余篇学术论文，入选ESI高被引论文2篇。