Variational method for determining pressure from velocity in two dimensions

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Variational method for determining pressure from velocity in two dimensions

机译：用于确定两个维度速度压力的变分方法

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This paper proposes a variational formulation with a smoothness constraint for extraction of pressure from two-dimensional velocity field. The method of characteristics is first described as a reduced case to obtain pressure data by a line integral along a given line. Then, a global optimization method is developed, and the Euler-Lagrange equation is obtained to determine a pressure field from velocity data in a domain with suitable boundary conditions. Numerical algorithms are developed to solve the Euler-Lagrange equation with suitable boundary conditions. The accuracy of the developed methods and the effects of the relevant parameters on extraction of pressure are evaluated on a simulated two-dimensional oblique Hiemenz flow. Subsequently, in an experimental case, pressure fields near a freely flying hawkmoth are estimated from high-resolution velocity fields that are obtained by applying the optical flow method to high-speed Schlieren photography images.

机译：本文提出了具有平滑度约束的变分制约，用于从二维速度场提取压力。特性方法首先被描述为减少的情况，以通过沿着给定线的线路积分获得压力数据。然后，开发了全局优化方法，获得欧拉拉格朗日等式以确定具有合适边界条件的域中的速度数据的压力场。开发了数值算法以解决具有合适边界条件的Euler-Lagrange方程。在模拟的二维倾斜Hiemenz流中评估了开发方法的准确性和相关参数对压力提取的影响。随后，在实验情况下，通过将光学流法施加到高速Schlieren拍摄图像来估计自由飞鹰丸附近的压力场。

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《Experiments in Fluids: Experimental Methods and Their Applications to Fluid Flow》 |2020年第5期|共26页
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中图分类流体力学;
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1. Variational method for determining pressure from velocity in two dimensions [J] . Experiments in Fluids: Experimental Methods and Their Applications to Fluid Flow . 2020,第5期

机译：用于确定两个维度速度压力的变分方法
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机译：从壁附近和模型上测量压力分布确定翼型上二维壁面干涉的方法

Variational method for determining pressure from velocity in two dimensions

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