非线性壁板颤振计算的子循环预测校正方法研究

刘占生; 张云峰

非线性壁板颤振计算的子循环预测校正方法研究

哈尔滨工业大学能源科学与工程学院, 哈尔滨 150001

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出版历程
- 收稿日期: 2006-04-14
- 修回日期: 2006-06-15
- 刊出日期: 2007-05-28

Nonlinear panel flutter computation with subcycling and predict-correct scheme

School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China

摘要

摘要: 为了解决流固耦合问题中弱耦合计算方法存在的滞后误差引起计算发散的问题, 将子循环方法与预测校正方法相结合, 使用有限元方法求解壁板动力响应, 使用Fluent求解受扰动的流场, 使用基于拉伸弹簧与扭转弹簧的动态网格方法更新流场网格, 分析了弹性壁板在超声速气流作用下的非线性动力响应, 结果表明此方法能准确预测壁板颤振的响应特性, 计算稳定性优于弱耦合方法, 可以保持长时间计算结果的稳定性.
- 航空、航天推进系统 /
- 壁板颤振 /
- 流固耦合 /
- 子循环 /
- 预测校正
Abstract: Weak coupling scheme in fluid-structure interaction introduces lag error which results in divergence of computation.To eliminate the error and enhance computing efficiency,subcycling and predict-correct scheme were combined and applied to the supersonic nonlinear panel flutter problem.Dynamic response of the panel was simulated with finite element method,while the geometric nonlinear effect caused by large deflection of the panel was considered.The fluid flow disturbed by panel vibration was computed with Fluent,which has the ability to calculate the governing equations with geometry conservation law.It is demonstrated that the subcycling predict-correct scheme is able to eliminate the lag error of weak coupling and keep the long running time of computation stable.
- aerospace propulsion system /
- panel flutter /
- fluid-structure interaction /
- subcycling /
- predict-correct scheme

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参考文献(23)

[1]	Hirt C W,Amsden A A,Cook J L.An arbitrary lagrangian-eulerian computing method for all flow speeds[J].Journal of Computational Physics,1974,14(3):227-253.
[2]	Ferziger J H,Peric M.Computational methods for fluid dynamics[M].Springer-Verlag,2002.
[3]	Thomas P D,Lombard C K.Geometric conservation law and its application to flow computational on moving grids[J].AIAA Journal,1978,17(10):1030-1037.
[4]	Demirdzic I,Peric M.Space conservation law in finite element volume calculations of fluid flow[J].International Journal for Numerical Methods in Fluids,1988,8(9):1037-1050.
[5]	Demirdzic I,Peric M.Finite volume method for prediction of fluid flow in arbitrarily shaped domains with moving boundaries[J].International Journal for Numerical Methods in Fluids,1990,10(7):771-790.
[6]	Trepanier J Y,Reggio M,Zhang H,et al.A finite-volume method for the Euler euations on arbitrary lagrangian-eulerian grids[J].Computers and Fluids,1991,20(4):399-409.
[7]	Lesoinne M,Farhat C.Geometric conservation law for flow problems with moving boundaries and deformable meshes,and their impact on aeroelastic computations[J].Computer Methods in Applied Mechanics and Engineering,1996,134(1-2):71-90.
[8]	Guillard H,Frahat C.On the significance of the geometric conservation law for flow computations on moving meshes[J].Computer Methods in Applied Mechanics and Engineering,2000,190(11-12):1467-1482.
[9]	Batina J T.Unsteady euler airfoil solutions using unstructured dynamic meshes[J].AIAA Journal,1990,28(8):1381-1388.
[10]	Farhat C,Degand C,Koobus B,et al.Torsional spring for two-dimensional dynamic unstructured fluid meshes[J].Computer Methods in Applied Mechanics and Engineering,1998,163(1-4):231-245.
[11]	Degand C,Farhat C.A three-dimensional torsional spring analogy method for unstructured dynamic meshes[J].Computers and Structures,2003,80(3-4):305-316.
[12]	Goura G S L,Badcock K J,Woodgate M A,et al.Extrapolation effects on coupled computational fluid dynamics/computational structural dynamics simulations[J].AIAA Journal,2003,41(2):312-314.
[13]	Harder R L,Desmarais R N.Interpolation using surface splines[J].Journal of Aircraft,1972,9(2):189-191.
[14]	Duchon J.Splines minimizing rotation-invariant semi-norms in sobolev spaces[A].Constructive Theory of Functions of Several Variables[C].Berlin:Springer-Verlag,1977:85-100.
[15]	Goura G S L,Badcock K J,et al.A data exchange method for fluid-structure interaction problems[J].The Aeronautical Journal,2001,105(1046):215-221.
[16]	徐敏,陈士橹.CFD/CSD耦合计算研究[J].应用力学学报,2004,21(2):33-36.XU Min,CHEN Shilu.Study of data exchange method for coupling computational CFD/CSD[J].Chinese Journal of Applied Mechanics,2004,21(2):33-36.
[17]	肖军,周新海,谷传纲,等.二维叶栅气固耦合颤振分析[J].航空动力学报,2006,21(2):106-111.XIAO Jun,ZHOU Xinhai,GU Chuangang,et al.Flutter analysis of 2-D cascades under gas-solid coupled conditions[J].Journal of Aerospace Power,2006,21(2):106-111.
[18]	Farhat C,Lesoinne C,Letallec P.Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces:Momentum and energy conservation,optimal discrimination and application to aeroelasticity[J].Computer Methods in Applied Mechanics and Engineering,1998,157(1-2):95-114.
[19]	Piperno S.Partitioned procedures for the transient solution of coupled aeroelastic problems-Part II:Energy transfer analysis and three-dimensional applications[J].Computer Methods in Applied Mechanics and Engineering.2001,190(24-25):3147-3170.
[20]	Hughes T J R,Liu W K.Implicit-explicit finite elements in transient analysis:stability theory[J].Journal of Applied Mechanics,1978,45(2):371-374.
[21]	Belytschko T,Smolenski P,Liu W K.Stability of multi-time step partitioned integrators for first-order finite element systems[J].Computer Methods in Applied Mechanics and Engineering,1985,49(3):281-297.
[22]	刘占生,张云峰.拉伸弹簧与扭转弹簧模拟动态网格方法分析与改进[J].哈尔滨工业大学学报,2005,37(8):1098-1102.LIU Zhansheng,ZHANG Yunfeng.Analysis and enhancement on linear spring and torsioinal spring based dynamic mesh method[J].Journal of Harbin Institute of Technology,2005,37(8):1098-1102.
[23]	Gordnier R E,Visbal M R.Development of a three-dimensional viscous aeroelastic solver for nonlinear panel flutter[J].Journal of Fluids and Structures,2002,16(4):497-527.