论文标题
审查新流量摩擦方程：准确构建Colebrook明确相关性
Review of new flow friction equations: Constructing Colebrook explicit correlations accurately
论文作者
论文摘要
仅使用有限数量的计算量功能，我们展示了一种如何构建Colebrook方程的准确和计算有效近似的方法。所呈现的近似值基于Wright Omega功能和符号回归的渐近系列扩展。结果有800万个准蒙特卡洛点得到了验证，涵盖了工程师感兴趣的领域。与MATLAB R2016A的内置Wrightomega功能相比，此处引入了Wright Omega功能的相关近似值显着加速了计算。只有两个对数和几个基本的算术操作，所提供的近似值不仅在计算上有效，而且非常准确。适合工程师使用的形式给出的最有前途的近似值的最大相对误差限制为0.0012％，而对于更复杂的变体而言，限制为0.000024％。
Using only a limited number of computationally expensive functions, we show a way how to construct accurate and computationally efficient approximations of the Colebrook equation for flow friction. The presented approximations are based on the asymptotic series expansion of the Wright Omega-function and symbolic regression. The results are verified with 8 million of Quasi-Monte Carlo points covering the domain of interest for engineers. In comparison with the built-in wrightOmega feature of Matlab R2016a, the herein introduced related approximations of the Wright Omega-function significantly accelerate the computation. With only two logarithms and several basic arithmetic operations used, the presented approximations are not only computationally efficient but also extremely accurate. The maximal relative error of the most promising approximation which is given in the form suitable for engineers use is limited to 0.0012%, while for a little bit more complex variant is limited to 0.000024%.
