Seminars on Numerical Algorithms, Analyses, and Applications：A novel energy factorization approach for the diffuse-interface model with Peng-Robinson equation of state

：寇继生（绍兴文理学院）
：2023-09-19 10:00
：海韵园数理大楼686会议室

报告人：寇继生（绍兴文理学院）

时  间：2023年9月19日10:00

地  点：海韵园数理大楼686会议室

内容摘要:

The Peng-Robinson equation of state (PR-EoS) has become one of the most extensively applied equations of state in chemical engineering and petroleum industry due to its excellent accuracy in predicting the thermodynamic properties of a wide variety of materials, especially hydrocarbons. Although great efforts have been made to construct efficient numerical methods for the diffuse interface models with PR-EoS, there is still not a linear numerical scheme that can be proved to preserve the original energy dissipation law. In order to pursue such a numerical scheme, we propose a novel energy factorization (EF) approach, which first factorizes an energy function into a product of several factors and then treats the factors using their properties to obtain the semi-implicit linear schemes. We apply the EF approach to deal with the Helmholtz free energy density determined by PR-EoS, and then propose a linear semi-implicit numerical scheme that inherits the original energy dissipation law.

个人简介：

寇继生，绍兴文理学院教授，浙江省钱江学者特聘教授, 主要研究方向为多孔介质中多相流和多组分流的数值模拟，油藏数值模拟相关的两相流模型及其数值计算方法,已发表学术论文100多篇，ESI高被引论文2篇，部分论文发表在Journal of Computational Physics、Computer Methods in Applied Mechanics and Engineering、SIAM Journal on Numerical Analysis、SIAM Journal on Scientific Computing等国际重要期刊上。

 

联系人：陈黄鑫