中国科学院数学与系统科学研究院

科研进展与学术交流报告会

（第112期）

报告人：徐立伟 教授（电子科技大学）

题  目：Modelling and simulation of flow dynamics in electromagnetic fields

摘 要：The talk  is devoted to  presenting the dynamic behavior of flows in electromagnetic fields. Based on different interaction mechanisms with electromagnetic fields, we mainly investigate three classes of hydrodynamics, the magnetohydrodynamics (MHD) , ferrohydrodynamics (FHD) and optical hydrodyamics .  For MHD systems, which describes electrically conductive fuilds under the influence of Lorentz forces, we  consider the two phase flow dynamics governed by the Cahn-Hilliard-MHD equation and the Abels--Garcke--Grün--MHD equation.  An unconditionally energy-stable and convergent convex splitting FEM scheme will be proposed and analyzed.  Then, we consider the FHD system, which characterizes the magntized fluids subjected to Kelvin force in the presence of external magnetic fields. We propose a novel sharp interface model for the two phase FHD system, and use the mesh moving methods to solve the proposed model. The classic benchmarks of the FHD system, “Rosensweig instability” phenomena, are simulated by imposing the uniform and nonuniform magnetic fields both in 2D and 3D.  Finally, we study the semi-classical Hamiltonian of the electron system and develop a generalized hydrodynamic Drude (GHD) model that includes the electron spill-out effect and tunnelling for small metallic nanostructures. The model incorporates a non-uniform electron density distribution, which is derived self-consistently from the energy functional of the electron system. We design a high-order discontinuous Galerkin method for which essential numerical analysis on the stability and accuracy is carried out, and present   numerical results of some important optical phenomenon for the validation of the model  and the scheme.

时  间：2025.6.20(星期五), 10:40-11:50

地  点：南楼204会议室

报告会视频

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