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| Automatic shape optimization of underground pipes based on an explicit geometry updating method |
| Received:August 11, 2021 Revised:November 02, 2021 |
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| DOI：10.7511/jslx20210811002 |
| KeyWord:underground pipe Navier-Stokes flow viscosity energy dissipation shape sensitivity automatic shape optimization |
| Author | Institution |
| 王中王 |
黄淮学院 建筑工程学院, 驻马店 ;太原理工大学 原位改性采矿教育部重点实验室, 太原 |
| 武鹏飞 |
太原理工大学 原位改性采矿教育部重点实验室, 太原 |
| 赵娟 |
信阳师范学院 建筑与土木工程学院, 信阳 |
| 陈磊磊 |
黄淮学院 建筑工程学院, 驻马店 ;信阳师范学院 建筑与土木工程学院, 信阳 |
| 廉浩杰 |
太原理工大学 原位改性采矿教育部重点实验室, 太原 |
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| Abstract: |
| We applied a structural shape optimization algorithm based on a recently proposed explicit geometry updating method to achieve automatic shape design for underground pipes.The fluid in the pipe is assumed to be Newton non-compressible fluid considering the inertial term, which is governed by the Navier-Stokes equation of turbulence.The design domain is the transition section between the vertical well and the horizontal well.The design variables of the shape optimization are the coordinates of the finite element nodes on the boundary.The optimization objective is to minimize the viscous energy dissipation.The optimization algorithm is gradient-based, which means that a shape sensitivity analysis is performed to evaluate the derivatives of the objective function with respect to design variables.The explicit geometry updating method is able to represent the geometry clearly with mesh, and also update the mesh in a large scale.Through numerical examples, we analyse the effect of the injection speed, the density and the viscosity of the fluid on the optimized solution. |
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