An Improved Implicit Eulerian Tangent Algorithm

WANG Xi-yun; JIA Xin-hui; WANG Zi-hao

doi:10.21656/1000-0887.370160

Volume 38 Issue 3

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WANG Xi-yun, JIA Xin-hui, WANG Zi-hao. An Improved Implicit Eulerian Tangent Algorithm[J]. Applied Mathematics and Mechanics, 2017, 38(3): 347-354. doi: 10.21656/1000-0887.370160

Citation:

WANG Xi-yun, JIA Xin-hui, WANG Zi-hao. An Improved Implicit Eulerian Tangent Algorithm[J]. Applied Mathematics and Mechanics, 2017, 38(3): 347-354. doi: 10.21656/1000-0887.370160

Citation:

WANG Xi-yun, JIA Xin-hui, WANG Zi-hao. An Improved Implicit Eulerian Tangent Algorithm[J]. Applied Mathematics and Mechanics, 2017, 38(3): 347-354. doi: 10.21656/1000-0887.370160

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An Improved Implicit Eulerian Tangent Algorithm

doi: 10.21656/1000-0887.370160

¹School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, P.R.China;²School of Mathematical Sciences, Fudan University, Shanghai 200433, P.R.China

Received Date: 2016-05-23
Rev Recd Date: 2016-05-29
Publish Date: 2017-03-15

Abstract

Abstract

Based on the two-velocity Brinkman-extended Darcy flow model, the characteristics of high speed flow in circular and annular ducts occupied by bidisperse porous media were analyzed. The flow fields of the fracture (f) and porous (p) phases were inherently governed by the 4th-order system of coupled differential equations. The original governing equations were simplified to a 2nd-order system of decoupled differential equations with the normal mode reduction method. Furthermore, the analytical solutions of velocity distributions were readily derived for the f- and p-phases. Results from both the circular and the annular ducts show that an increase in the Darcy number leads to a reduction in not only the flow velocities of the two phases but their difference. However, the flow velocities of the two phases exhibit an opposite trend with the increase of the momentum transfer between the two phases, resulting in a decrease in the velocity difference.
- implicit Eulerian tangent algorithm,
- trust region subproblem,
- differential equation model,
- unconstrained optimization,
- trust region method

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References(10)

References

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