报告摘要：We investigate numerical solution of the diffuse interface model with Peng-Robinson equation of state, that has been widely used to describe real states of hydrocarbon fluids in the petroleum industry. Due to the strong nonlinearity of the source terms in this model, how to design appropriate time discretizations to preserve the energy dissipation law of the system at the discrete level is a major challenge. Based on the ``Invariant Energy Quadratization'' approach, we develop a first and a second order time stepping schemes for solving the single-component two-phase fluid problem.  In both schemes the resulted temporal semi-discretizations lead to linear systems with symmetric positive definite spatial operators at each time step, and thus can be efficiently solved. We also rigorously prove the unconditional energy stability of both schemes. Various numerical simulations in two and three dimensional spaces are presented to demonstrate accuracy and stability of the proposed linear schemes and to investigate physical reliability of the target model by comparisons with laboratory data.

报告人：李宏伟副教授

报告时间：2017年11月16日(周四)下午3:00-4:00

报告地点:长清校区B407伟德国际1946源自英国报告厅

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