A new approach for conjugate heat transfer problems using immersed boundary method for curvilinear grid based solvers
A new approach for conjugate heat transfer problems using immersed boundary method for curvilinear grid based solvers
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DOI：
10.1016/j.jcp.2014.02.045
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发表时间：
2014-06-15
影响因子：
4.1
通讯作者：
Viswanath, Kamal
中科院分区：
文献类型：
--
作者：
Nagendra, Krishnamurthy;Tafti, Danesh K.;Viswanath, Kamal
基于浸入边界法（IBM）的技术的使用，极大地简化了涉及复杂几何形状和/或大边界运动的流动的网格生成过程。然而，基于网格的体拟合技术在精度和效率方面仍然具有优势。在这项工作中，我们开发了一个适用于曲线坐标的IBM方案，旨在利用这两种方法。该框架使用高效的算法进行搜索、定位和插值操作。提出了一种求解共轭传热（CHT）边界条件的新方法，该方法是求解其他边界条件方法的直接扩展，并且不像以前使用IBM实现的CHT那样涉及任何复杂的插值。所开发的方案被证明适用于曲线网格上的复杂几何形状，同时也非常高效，每个时间步消耗的模拟时间不到总模拟时间的1%。在大规模计算上非常好的可扩展性通过强大的扩展研究证明了1024核。进行了详细的代码验证过程，以表明该方法对所有考虑的边界条件下的速度和温度场都是二阶精确的。此外，还进行了涉及静止和振荡圆柱体上均匀流动的验证研究，以证明所开发方法的准确性。最后，利用贴体背景网格对厚壁微通道的流动和共轭传热进行了模拟研究，结果与先前发表的结果非常吻合。(C) 2014爱思唯尔公司版权所有。
Use of immersed boundary method (IBM) based techniques have helped considerably in easing the grid generation process in flows involving complex geometries and/or large boundary movements. Body fitting grid based techniques still, however, are advantageous in terms of accuracy and efficiency. In this work, we have developed an IBM scheme applicable to curvilinear coordinates, aiming at taking advantage of both the methodologies. The framework uses efficient algorithms for search, locate, and interpolate operations. A new method of implementing the conjugate heat transfer (CHT) boundary condition is proposed which is a direct extension of the method used for other boundary conditions and does not involve any complex interpolations like previous CHT implementations using IBM. The developed scheme is shown to be applicable to complex geometries on curvilinear grids, while also being very efficient, consuming less than 1% of the total simulation time per time-step. Very good scalability on massive computations is demonstrated using strong scaling study up to 1024 cores. Detailed code verification process is undertaken to show that the method is second-order accurate for both the velocity and temperature fields for all the boundary conditions considered. Further, validation studies involving uniform flow over stationary and oscillating cylinders are carried out to demonstrate the accuracy of the developed method. Lastly, simulations are performed to study flow and conjugate heat transfer through thick-walled micro-channels using body-fitted background grids and the results are shown to be in excellent agreement with previously published results. (C) 2014 Elsevier Inc. All rights reserved.