A Novel Numerical Approach for Simulating the Nonlinear MHD Jeffery–Hamel Flow Problem
A Novel Numerical Approach for Simulating the Nonlinear MHD Jeffery–Hamel Flow Problem
复制标题
模拟非线性 MHD Jeffery-Hamel 流问题的新颖数值方法
DOI：
10.1007/s40819-021-01016-3
复制
发表时间：
2021
影响因子：
--
通讯作者：
M. Sezer
中科院分区：
文献类型：
--
作者：
W. Adel;Kubra Erdem Bicer;M. Sezer
本研究涉及著名的Jeffery Hamel血液流动问题的非线性形式的数值模拟。对于所设计的模型的数值解，伯努利配置法实现。该方法是基于将模型转换成一个系统的非线性代数方程，然后使用一种新的迭代技术来解决。为了检验所提出的方案的完善性和准确性，文中给出了两种新的残差修正方法，以保证该方法的有效性。该方法不需要任何大量的计算时间，同时提供良好的结果。提供了一些数值模拟，并与文献中的其他现有方法进行了比较。从这些结果可以看出，伯努利配置方法是有效的，但简单，在提供这样的模型的准确结果。在不久的将来，该方法可以扩展到解决类似的其他问题，在科学和工程中的应用。
The present study is related to the numerical simulation of the well-known Jeffery Hamel blood flow problem of nonlinear form. For the numerical solutions of the designed model, a Bernoulli collocation method is implemented. The method is based on converting the model into a system of a nonlinear algebraic equation which is then solved using a novel iterative technique. To check the perfection and exactness of the proposed schemes, two novel residual error correction methods are illustrated to ensure that the method is effective. The method does not require any extensive computational time while providing good results. Some numerical simulations are provided and a comparison is made with other existing methods from the literature. From these results, it can be seen that the Bernoulli collocation method is effective yet simple in providing accurate results for such a model. The method can be extended in the near future for solving similar other problems with applications in both science and engineering.