Seminars on Numerical Algorithms, Analyses, and Applications: Efficient multiscale preconditioners for large-scale highly heterogeneous flow

：付书彬【宁波东方理工大学（暂名）】
：2024-07-05 10:00
：海韵园数理大楼686会议室

报告人：付书彬【宁波东方理工大学（暂名）】

时  间：2024年7月5日10:00

地  点：海韵园数理大楼686会议室

内容摘要:

We propose efficient and robust preconditioners for large-scale incompressible flow in highly heterogeneous porous media. We start from the discretization of the first-order form for the single phase incompressible flow and apply a velocity elimination strategy to obtain an equation with pressure as the only unknown. Then an efficient two-grid preconditioner is designed to solve this equation. The key component of the preconditioner is adoption of a non-standard coarse space that contains the media’s heterogeneity information. We solve a carefully constructed spectral problem in each coarse element to form the non-standard coarse space. Rich numerical tests with several types of large-scale three-dimensional highly heterogeneous permeability fields are presented. The experimental results show that our generalized multiscale space based preconditioner is robust with respect to the contrast, size and geometry of the permeability fields. We also successfully apply this preconditioner for multiphase flow simulation and transport problems arising from reservoir simulation. We will also introduce how to extend this two-grid preconditioner to multigrid regime.  

个人简介：

付书彬，宁波东方理工大学（暂名）助理教授。他先后毕业于四川大学和美国德州农工大学,曾在香港中文大学和威斯康星大学麦迪逊分校完成博士后训练。他的主要研究兴趣是多尺度有限元方法和模型降阶方法及其跨学科应用。主要成果发表在SIAM J. Sci. Comput., Multiscale Model. Simul., J. Comput. Phys., Comput. Methods Appl. Mech. Engrg., Water Resour. Res.和Geophys. J. Int.等期刊。

 

联系人：陈黄鑫