A class of physics-preserving schemes for thermodynamically consistent model of incompressible and immiscible two-phase flows in porous media

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报告题目: A class of physics-preserving schemes for thermodynamically consistent model of incompressible and immiscible two-phase flows in porous media


报告人:李晓丽  教授 山东大学   数学学院


报告时间:2025528日下午16:00


报告地点:红瓦楼726


报告内容简介:In this talk, we present several high-order and physics-

preserving numerical schemes for thermodynamically consistent model of incompressible and immiscible two-phase flow in porous media. The constructed schemes only need to solve one linear system and a nonlinear algebraic equation with negligible computational cost at each time step. We also prove that the proposed schemes are energy stable, mass-conservative and bounds-preserving for each phase without any restrictions of time step size. Finally, various interesting numerical examples are presented to verify the accuracy and efficiency of the proposed schemes.


报告人简介:李晓丽,山东大学教授,博士生导师,国家高层次青年人才入选者,山东省杰青,山东大学杰出中青年学者。担任中国数学会计算数学分会常务理事,CSIAM油水资源专委会秘书长。主要研究领域为偏微分方程数值解与计算流体力学。在SIAM J. Numer. Anal., SIAM J. Sci. Comput., Math. Comp., J. Fluid Mech., Math. Mod. Meth. Appl. Sci.J Comput. Phys.等计算数学高水平期刊上发表学术论文多篇。主持国家自然科学基金面上项目、重点项目子课题、青年项目等多个国家及省部级项目。


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