• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>IFAC PapersOnLine >Reducing Drag of the Obstacle in the Channel by Boundary Control: Theory and Numerics
【24h】

Reducing Drag of the Obstacle in the Channel by Boundary Control: Theory and Numerics

机译：通过边界控制减少渠道中障碍的阻力：理论与数字

获取原文
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Fluid structure interaction comprising of an elastic body immersed in the moving fluid is considered. The fluid is modeled by an incompressible Navier-Stokes equations withmixed Dirichlet-Neumann boundary conditions.The goal is to reduce a drag of the obstacle by changing the flow profile on the inlet. This leads to a boundary control problem with a minimization of a hydro-elastic pressure on the interface between the solid and the fluid. The latter is expressed in a form of shape functional. The interface is "free" and it is itself an unknown variable. The problem is reformulated as a quasilinear PDE-control with a free boundary. A distinct feature of the model is that the boundary conditions imposed on the fluid domain are mixed [change from Dirichlet to Neumann]. This feature is well known to cause singularities in elliptic solutions. Handling of these requires a careful analysis of local singularities which depend on the geometry of the domain. The final result provides an existence of optimal control [with volume constraints] which minimizes the drag of the obstacle, under the assumption of sufficiently small strains. The obtained results are illustrated by numerical simulations which confirm and interpret the theoretical findings.
机译：考虑了包含浸入移动流体中的弹性体的流体结构相互作用。流体由包含的Neixl-Neumann边界条件的不可压缩的Navier-Stokes方程建模。目标是通过改变入口上的流动轮廓来减少障碍物的拖动。这导致了边界控制问题，最小化固体和流体之间的界面上的水力弹性压力。后者以形状的函数形式表示。界面是“自由”，它本身就是一个未知的变量。该问题被重新重整为具有自由边界的Quasilinear PDE控制。模型的一个不同的特征是施加在流体域上的边界条件混合[从Dirichlet变为Neumann]。该特征是众所周知的，可以在椭圆溶液中引起奇点。处理这些需要仔细分析临床奇点，这取决于域的几何形状。最终结果提供了最佳控制[带有体积约束]的存在，这使得在足够小的菌株的假设下最小化障碍物的阻力。获得的结果通过数值模拟来说明，该数值模拟确认并解释了理论发现。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号