讲座人简介: 张国栋,博士毕业于西安交通大学,在宾夕法尼亚州立大学博士联合培养,现任烟台大学博士生导师、教授。研究兴趣是多物理耦合问题的建模与计算,在磁流体模型,相场模型和铁磁流体模型的建模与高效算法方面取得了一些较好的成果,主持国家自然科学基金两项(1青1面),主持山东省优秀青年基金,部分成果获山东省自然科学二等奖一项(2/2),论文发表在SISC, M3AS, JCP, CMAME等期刊。
讲座简介:The two-phase ferrohydrodynamics model consisting of Cahn–Hilliard equations, Navier–Stokes equations, magnetization equations, and magnetostatic equations is a highly nonlinear, coupled, and saddle point structural multiphysics PDE system. We develop a fully decoupled, linear, second-order in time, and unconditionally energy stable methods for the model. A reformulated weak formulation serves as a key bridge between the existing techniques and the challenges of the target model. We demonstrate the well-posedness of the proposed scheme and rigorously show that the scheme is unconditionally energy stable. Extensive numerical simulations, including accuracy/stability tests, and several 2D/3D benchmark Rosensweig instability problems for “spiking” phenomena of ferrofluids are performed to verify the effectiveness of the scheme.