| 非稳态流动的隐式最小二乘等几何方法 |
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| 引用本文： | 陈德祥,刘帅,徐自力,胡哺松.非稳态流动的隐式最小二乘等几何方法[J].计算力学学报,2015,32(5):639-643. |
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| 作者姓名： | 陈德祥 刘帅 徐自力 胡哺松 |
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| 作者单位： | 西安交通大学 航天航空学院 机械结构强度与振动国家重点实验室, 西安 710049;西安交通大学 航天航空学院 机械结构强度与振动国家重点实验室, 西安 710049;西安交通大学 航天航空学院 机械结构强度与振动国家重点实验室, 西安 710049;中国长江动力集团 武汉汽轮发电机有限公司, 武汉 430074 |
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| 基金项目： | 国家973计划(2011CB706505)资助项目. |
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| 摘 要： | 对非稳态粘性不可压流动问题提出了一种隐式最小二乘等几何计算方法。该方法先用隐式的向后多步差分格式对Navier-Stokes方程进行时间离散,再用Newton法线性化对流项,最后在每个时间步上用最小二乘等几何方法进行求解。根据该算法编制了计算程序,通过构造解析解的方法验证了程序的正确性,用该程序求解了雷诺数为5000时的非稳态二维顶盖驱动流问题,计算结果捕捉到了流动过程中涡的演化过程,表明本文方法可用于非稳态流动的求解。
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| 关 键 词： | 非稳态流动 Navier-Stokes方程 最小二乘等几何方法 隐式差分格式 顶盖驱动流 |
| 收稿时间： | 2014/6/18 0:00:00 |
| 修稿时间： | 2014/9/15 0:00:00 |
Implicit least squares isogeometric method for unsteady flow |
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| CHEN De-xiang,LIU Shuai,XU Zi-li and HU Bu-song.Implicit least squares isogeometric method for unsteady flow[J].Chinese Journal of Computational Mechanics,2015,32(5):639-643. |
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| Authors: | CHEN De-xiang LIU Shuai XU Zi-li and HU Bu-song |
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| Institution: | State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi'an Jiaotong University, Xi'an 710049, China;State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi'an Jiaotong University, Xi'an 710049, China;State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi'an Jiaotong University, Xi'an 710049, China;Wu Han Turbine & Generator Co., Ltd, China Chang Jiang Energy Corporation, Wuhan 430074, China |
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| Abstract: | An implicit least squares isogeometric method is proposed for unsteady viscous incompressible flow.The governing Navier-Stokes equations are firstly discretized implicitly in time by multi-step backward difference formulae,then linearized by the Newton method.Least squares isogeometric method is used to solve the linearized equations at each time step.A program was developed based on the proposed method.The program was verified using the method of manufactured solution,then used to solve unsteady 2D lid driven cavity flow at Re=5000.The evolution of vortices was resolved in the numerical results which implied the applicability of presented method for unsteady flow. |
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| Keywords: | unsteady flow Navier-Stokes equations least squares isogeometric method implicit difference scheme lid driven cavity flow |
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