Compact difference method for solving incompressible flow problems in complex regions
报告题目：Compact difference method for solving incompressible flow problems in complex regions
报告人：王晓东，西北工业大学
报告时间：2026年4月22日（周三），8:30-10:30
报告地点：长安大学理学院楼308
报告摘要：A high‑order explicit compact difference method is developed for unsteady incompressible flows in complex geometries. High‑order compact schemes are extended to non‑uniform grids: the third‑order upwind scheme (UCD3‑NG) is used for convective terms, the averaged upwind scheme (AUCD3‑NG) for pressure gradient and divergence terms, and the explicit fourth‑order scheme (ESCD4‑S‑NG) for second derivatives. The general pressure equation (GPE) eliminates the pressure Poisson equation, enabling a fully explicit time‑marching with a third‑order TVD Runge‑Kutta method. A non‑iterative immersed boundary method (IBM) enforces no‑slip conditions on fixed Cartesian grids. The combined method (IB‑ECDM) achieves third‑order accuracy away from boundaries and second‑order convergence near immersed interfaces. Benchmark tests confirm high fidelity, significantly reduced computational cost, and robust capture of vortex dynamics on non‑uniform grids, providing an efficient and geometrically flexible tool for complex incompressible flows.
报告人简介：王晓东，西北工业大学数学与统计学院教授，主要围绕聚合物材料的成型仿真开展复杂流体相关的建模与计算研究。主持国家自然科学基金面上项目3项，其他纵向课题9项，横向课题10余项，参与国家重点研发计划、国家重点基础研究发展计划(973计划)、国家自然科学基金重大项目和国家自然科学基金重大研究计划重点项目各1项，发表学术论文90余篇，授权国家发明专利及软件著作权10余项。
