指定流量分配系数的多回流出口边界算法
收稿日期: 2021-12-17
修回日期: 2022-01-10
录用日期: 2022-01-26
网络出版日期: 2022-02-18
基金资助
国家自然科学基金(12102060)
Treatment of boundary condition at multiple outlets with recirculating flow and specified flow ratios
Received date: 2021-12-17
Revised date: 2022-01-10
Accepted date: 2022-01-26
Online published: 2022-02-18
Supported by
National Natural Science Foundation of China(12102060)
燃烧室出口处物理量的边界条件处理方法需满足工程设计对出口流量的要求,同时要保证出口回流时的数值稳定性,是工程级燃烧室模拟中重点关注的问题之一。基于流量分配系数发展了一种出口边界处理算法,支持不可压缩流动模拟中指定多个出口流量分配系数、出口存在回流时的稳定模拟。研究表明,在四面体/六面体网格算例中,该方法可实现出口流量分配系数在0~1.0范围内的稳定模拟,与设定值的最大相对偏差<0.001%。在保持出口流量分配系数不变时,改变计算域出口位置使得流动处于未充分发展、回流或旋流状态,计算结果不受明显影响。将该方法应用于TECFLAM旋流燃烧器冷态流场模拟中,计算域缩减至1/3后模拟仍能稳定收敛,预测值和实验数据保持较高的一致性。相比于使用常规出口边界的方法,该方法支持仿真人员根据需要设置出口流量分配系数和计算域大小,可显著减小数值计算开销。
许开龙 , 刘再刚 , 姜胜利 , 王星 , 张磐 . 指定流量分配系数的多回流出口边界算法[J]. 航空学报, 2023 , 44(5) : 126830 -126830 . DOI: 10.7527/S1000-6893.2022.26830
The treatment of boundary condition at multiple outlets is one of the key issues in the numerical simulation of aero-engine combustors, as the mass flow ratios need to be within the engineering design limits, and the numerical stability needs to be ensured with recirculating flow at the outlets. In the present paper, an incompressible flow outlet boundary condition algorithm is developed to treat the boundary condition at multiple outlets with recirculating flow and specified flow ratios. The results of a series of numerical experiments show that stable and convergent solutions can be obtained using the proposed method. Cases of tetrahedral/hexahedral meshes and the mass flow ratio ranging from 0 to 1.0 are simulated, and the obtained maximum deviation is <0.001%. When the mass flow ratios at the multiple outlets are fixed, the resulted velocity profiles are not obviously affected by the location of outlet boundaries when the flows at the boundaries are not fully-developed or even recirculating. The proposed method is applied to the simulation of TECFLAM swirl burner. The predicted velocity components agree well with the experimental data even when the computational domain is truncated to one third of the original size. Compared to the conventional treatment of outlet boundary conditions, the method proposed enables to specify the mass flow ratios at multiple outlets and to adjust computational domain sizes according to the engineering design limits, which contributes to significant reduction of the overall computational cost.
1 | HASAN N, ANWER S F, SANGHI S. On the outflow boundary condition for external incompressible flows: A new approach[J]. Journal of Computational Physics, 2005, 206(2): 661-683. |
2 | DONG S, KARNIADAKIS G E, CHRYSSOSTOMIDIS C. A robust and accurate outflow boundary condition for incompressible flow simulations on severely-truncated unbounded domains[J]. Journal of Computational Physics, 2014, 261: 83-105. |
3 | SANI R L, GRESHO P M. Résumé and remarks on the open boundary condition minisymposium[J]. International Journal for Numerical Methods in Fluids, 1994, 18(10): 983-1008. |
4 | ORLANSKI I. A simple boundary condition for unbounded hyperbolic flows[J]. Journal of Computational Physics, 1976, 21(3): 251-269. |
5 | SANI M, SAIDI M S. A lagged implicit segregated data reconstruction procedure to treat open boundaries[J]. Journal of Computational Physics, 2010, 229(14): 5418-5431. |
6 | 陶文铨. 数值传热学[M]. 2版. 西安: 西安交通大学出版社, 2001: 232. |
TAO W Q. Numerical heat transfer[M]. 2nd ed. Xi’an: Xi’an Jiaotong University Press, 2001: 232 (in Chinese). | |
7 | DONG S C, SHEN J. A pressure correction scheme for generalized form of energy-stable open boundary conditions for incompressible flows[J]. Journal of Computational Physics, 2015, 291: 254-278. |
8 | STEGGEL N, ROCKLIFF N. Simulation of the effects of body shape on lock-in characteristics in pulsating flow by the discrete vortex method[J]. Journal of Wind Engineering and Industrial Aerodynamics, 1997, 69-71: 317-329. |
9 | PAPANASTASIOU T C, MALAMATARIS N, ELLWOOD K. A new outflow boundary condition[J]. International Journal for Numerical Methods in Fluids, 1992, 14(5): 587-608. |
10 | 何吉欢. 简论开口边界条件[J]. 上海大学学报(自然科学版), 1998, 4(2): 213-217. |
HE J H. On open boundary condition—A variational approach[J]. Journal of Shanghai University (Natural Science Edition), 1998, 4(2): 213-217 (in Chinese). | |
11 | LI P W, TAO W Q. Effects of outflow boundary condition on convective heat transfer with strong recirculating flow[J]. W?rme - und Stoffübertragung, 1994, 29(8): 463-470. |
12 | XUE S ?C, ?W BARTON G. Incompressible fluid flow simulations with flow rate as the sole information at synthetic inflow and outflow boundaries[J]. International Journal for Numerical Methods in Fluids, 2015, 78(12): 739-760. |
13 | FORMAGGIA L, VENEZIANI A, VERGARA C. Flow rate boundary problems for an incompressible fluid in deformable domains: Formulations and solution methods[J]. Computer Methods in Applied Mechanics and Engineering, 2010, 199(9-12): 677-688. |
14 | YANG Z G, DONG S C. Multiphase flows of N immiscible incompressible fluids: An outflow/open boundary condition and algorithm[J]. Journal of Computational Physics, 2018, 366: 33-70. |
15 | LIU Q K, MO Z Y, ZHANG A Q, et al. JAUMIN: A programming framework for large-scale numerical simulation on unstructured meshes[J]. CCF Transactions on High Performance Computing, 2019, 1: 35-48. |
16 | HAYES R E, NANDAKUMAR K, NASR-EL-DIN H. Steady laminar flow in a 90 degree planar branch[J]. Computers & Fluids, 1989, 17(4): 537-553. |
17 | SCHNEIDER C, DREIZLER A, JANICKA J. Fluid dynamical analysis of atmospheric reacting and isothermal swirling flows[J]. Flow, Turbulence and Combustion, 2005, 74(1): 103-127. |
18 | FREITAG M, JANICKA J. Investigation of a strongly swirled unconfined premixed flame using LES[J]. Proceedings of the Combustion Institute, 2007, 31(1): 1477-1485. |
/
〈 |
|
〉 |