主题：A Fast Explicit Operator Splitting Method for an Underground Oil Recovery Model
主讲人：University of Oklahoma, Prof. Ying Wang
主持人：西南财经大学经济数学学院 王琪
时间：2015年6月25日（星期四）下午15:30-16:30
地点：通博楼B412
主办单位：经济数学学院、科研处
主讲人简介：
Ying Wang received her bachelor degree from the National University ofSingapore in 2001, her master degree from Georgia Tech in 2005,and her Ph.D. from the Ohio State University in 2010, and was a Dunham Jackson Assistant Professor at University of Minnesota during 2010-2013. She is now a tenure-track assistant professor at University of Oklahoma.
内容简介：
In this talk, we propose a fast splitting method to solve a multi-scale underground oil recovery model which includes a third order mixed derivatives term resulting from the dynamic effects in the pressure difference between the two phases. The method splits the original equation into two equations, one with flux term and one with diffusion term so that the classical numerical methods can be applied immediately. Two different spatial discretizations, second-order Godunov-type central-upwind scheme and WENO5 scheme, are used to demonstrate that higher order method provides more accurate approximation of solutions. The various numerical examples in both one and two dimensions show that the solutions may have many different saturation profiles depending on the initial conditions, diffusion parameter, and the third-order mixed derivatives parameter. The results are consistent with the study of traveling wave solutions and their bifurcation diagram. This is joint work with C.-Y. Kao, A. Kurganov, Z.-L. Qu.
