【Coll.0518】Prof. Zhiqiang Sheng: A nonlinear finite volume scheme for diffusion equation on distorted meshes

时间：2017-05-10 浏览：548次

**A nonlinear
finite volume scheme for diffusion equation on distorted meshes**

Zhiqiang Sheng

Laboratory of Computational Physics,

Institute of Applied Physics and Computational Mathematics, Beijing.

Email: sheng_zhiqiang@iapcm.ac.cn

**Abstract: **In the construction of existing nonlinear cell-centered finite volume
schemes preserving positivity, it is required to assume that values of
auxiliary unknowns are nonnegative. However, this assumption is not always
satisfied. In this talk, we present a new nonlinear finite volume scheme
preserving positivity for diffusion equations on distorted meshes. The main
feature of the scheme is the assumption that the values of auxiliary unknowns
are nonnegative is avoided. Two nonnegative parameters are introduced to define
a new nonlinear two-point flux, in which one point is the cell-center and the
other is the midpoint of cell-edge. The final flux on the edge is obtained by
the continuity of normal flux. Numerical results show that the accuracy of both
solution and flux for our new scheme is superior to that of some existing
schemes preserving positivity.

报告时间：2017-05-18 11:00 - 12:00

报告地点：数学科学研究院（环境楼）316会议室