Numerical study of the flow in the Yellow River with non-monotonous banks

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• 作者：He-fang JING ((景何仿))^a ; ^b ; ^{jinghef@163.com" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Yi-tian LI ((李义天))^b ; Chun-guang LI ((李春光))^a ; ^{cglizd@hotmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：2-D RNG k &ndash ; ɛ model ; numerical simulation ; extra source term ; arc cubic spline interpolation ; non-monotonic bank
• 刊名：Journal of Hydrodynamics, Ser. B
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：28
• 期：1
• 页码：142-152
• 全文大小：995 K

文摘

A 2-D depth averaged RNG k – ɛ model is developed to simulate the flow in a typical reach of the Upper Yellow River with non-monotonic banks. In order to take account of the effect of the secondary flow in a bend, the momentum equations are modified by adding an additional source term. A comparison between the numerical simulation and the field measurements indicates that the improved 2-D depth averaged RNG k – ɛ model can improve the accuracy of the numerical simulation. An arc spline interpolation method is developed to interpolate the non-monotonic river banks. The method can also be reasonably applied for the 2-D interpolation of the river bed level. Through a comparison of the water surface gradients simulated in the seven bends of the studied reach, some analytical formulae are improved to reasonably calculate the longitudinal and transverse gradients in meandering river reaches. Furthermore, the positions of the maximum water depth and the maximum velocity in a typical bend are discussed.