| Biography | |
|---|---|
 Prof. Xiao Hong WANG University of Science and Technology of China, China |
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| Title: The finite analytic numerical methods for heat conduction and fluid flows in heterogeneous media | |
| Abstract:
For various problems in engineering, such as steady-state heat conduction in composite materials or steady-state seepage in petroleum industry, it is suitable to describe them with quasi-Laplace equation. For the strong heterogeneous case, it is a challenge and long-standing problem to perform an accurate numerical simulation. We find out that this difficulty is caused by the appearance of the singularity when the conductivity is heterogeneous. A finite analytic numerical scheme is proposed to deal with this problem. Numerical examples show that the proposed numerical scheme makes the convergences much quickly than the traditional methods. Under few grid refinements, such as 2×2 or 3×3 subdivisions for 2D problem and 2×2×2 or 3×3×3 subdivisions for 3D problem, the proposed numerical scheme can provide rather accurate solutions. Especially, the convergent speed of the numerical scheme is independent of the conductivity heterogeneity. In contrast, when using the traditional numerical schemes to simulate the heat conduction or fluid flows in a strong heterogeneous medium, the refinement ratio for the grid cell needs to be increasing dramatically to get an accurate result.
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| Biography:
Xiao-Hong Wang. He has accomplished his doctoral degree in Education from the University of Science and Technology of China, and is currently working as a professor at Department of Thermal Science and Energy Engineering of University of Science and Technology of China. He work in the area of numerical methods for fluid flows in porous media and the multi-scale transport phenomena in porous media. In the recent years, his research group has developed the finite analytic numerical methods for fluid flows in heterogeneous porous media and published a series of papers on this subject. In the aspect of scientific societies, he is now the vice president of the China Chapter of International Society for Porous Media, the member of Experts Group of the Mechanics of Flow in Porous Medias of the Chinese Society of Theoretical and Applied Mechanics.
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