Thermodynamically consistent modeling and simulation of multi-component two-phase flow

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:2021-09-14 15:00


时  间:914日下午15:00

地  点:腾讯会议ID:180856045(无密码)


We consider mathematical modeling and numerical simulation of non-isothermal compressible multi-component diffuse-interface two-phase flows with realistic equations of state. A general model with the general reference velocity is derived rigorously through thermodynamical laws and Onsager’s reciprocal principle, and it is capable of characterizing compressibility and partial miscibility between multiple fluids. We prove a novel relation between the pressure, temperature and chemical potentials, which results in a new formulation of the momentum conservation equation indicating that the gradients of chemical potentials and temperature become the primary driving force of the fluid motion except for the external forces. A key challenge in numerical simulation is to develop entropy stable numerical schemes preserving the laws of thermodynamics. Based on the convex-concave splitting of Helmholtz free energy density with respect to molar densities and temperature, we propose an entropy stable numerical method, which solves the total energy balance equation directly, and thus, naturally satisfies the first law of thermodynamics. Unconditional entropy stability (the second law of thermodynamics) of the proposed method is proved by estimating the variations of Helmholtz free energy and kinetic energy with time steps. Numerical results validate the proposed method.


寇继生,武汉大学博士,沙特KAUST博士后,现为绍兴文理学院教授、硕士生导师,浙江省钱江学者特聘教授, 中国地质大学(武汉)兼职博士生导师。在Journal of Computational PhysicsComputer Methods in Applied Mechanics and EngineeringSIAM Journal on Numerical AnalysisSIAM Journal on Scientific Computing等重要期刊上发表论文100余篇,ESI高被引论文2篇。主持完成多项国家自然科学基金项目、教育部科学技术研究重点项目。2013年获湖北省自然科学二等奖。