题目：Structure-preserving schemes for the incompressible flow with variable density

主讲人：王坤 教授

时间：2026年8月17日（星期一）10：00

地点：理学院308会议室

主办单位：国家天元数学西北中心、理学院

主讲人简介：

王坤，重庆大学数学与统计学院教授，西安交通大学博士，加拿大Alberta大学博士后。主要从事偏微分方程数值解、科学计算等方向的研究，具体包括复杂流体力学方程及其耦合问题、趋化模型和声波方程的数值分析与模拟等，其结果曾在SIAM Journal of Numerical Analysis，Mathematics of Computation, Journal of Computational Physics，Computer Methods in Applied Mechanics and Engineering等杂志上发表，主持国家自然科学基金面上项目和青年基金等。

摘要：

In this talk, we consider some structure-preserving schemes for the incompressible flow with variable density. First, we construct linear and decoupled second-order fully discrete least square finite element methods (LSFEM) for the incompressible electrohydrodynamic (EHD) flow with variable density. We prove that the fully discrete schemes are unconditionally energy stable and the approximation fluid densities are bounded. Second, we construct linear and decoupled first-order fully discrete finite element methods for the incompressible Navier-Stokes equations with variable density. We prove that the original energy identical-relation, mass conservation and error estimates of the proposed scheme. Finally, we show some numerical examples to verify the correctness and efficiency of the proposed schemes.