Eulerian-Lagrangian Runge-Kutta discontinuous Galerkin method for transport simulations
报告人：蔡晓峰
时间：2022年4月29日上午10：00-11：00
地点：腾讯会议，110-964-559，无密码
摘要：Semi-Lagrangian (SL) approach is attractive in transport simulations, e.g. in climate modeling and kinetic models, due to its numerical stability in allowing extra-large time-stepping sizes. For practical problems with complex geometry, schemes on the unstructured meshes are preferred. However, accurate and mass conservative SL methods on unstructured meshes are still under development and encounter several challenges. For instance, when tracking characteristics backward in time, high order curves are required to accurately approximate the shape of upstream cells, which brings in extra computational complexity. To avoid such computational complexity, we propose an Eulerian-Lagrangian Runge-Kutta discontinuous Galerkin method with discussion on the treatment of inflow boundary condition. The nonlinear WENO limiter is applied to control oscillations. Desired properties of the proposed method are numerically verified by a set of benchmarks tests.
专家简介：蔡晓峰博士是北京师范大学珠海校区特聘副研究员，兼任北师港浸大双聘教师，博士毕业于厦门大学，师从邱建贤教授和邱竞梅教授，随后在休斯敦大学和特拉华大学做博士后研究，主要研究领域是计算流体力学，研究工作主要面向等离子体物理模拟、数值天气预报等领域，从事针对对流占优问题的高效稳健可靠的高阶数值方法研究，与研究者发展了一套求解多维输运问题的守恒型半拉格朗日算法及其应用研究。主要研究成果发表在Journal of Computational Physics和SIAM系列等权威期刊。
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