基于线性化Navier-Stokes方程二维水槽内单涡到双涡的数值模拟

韩红阳; 罗志强

doi:10.21656/1000-0887.370118

基于线性化Navier-Stokes方程二维水槽内单涡到双涡的数值模拟

doi: 10.21656/1000-0887.370118

昆明理工大学数学系, 昆明 650500

基金项目: 国家自然科学基金(11561037)；云南省教育厅科学研究基金重点项目(2015z035)

详细信息

作者简介:
韩红阳(1991—)，女，硕士生(E-mail: 1559751143@qq.com);罗志强(1973—)，男，博士(通讯作者. E-mail: zql1009@126.com).

中图分类号: O357.41
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- 文章访问数: 970
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出版历程
- 收稿日期: 2016-04-14
- 修回日期: 2016-07-16
- 刊出日期: 2016-09-15

Single- to Double-Vortex Numerical Simulation in 2D Water Tanks Based on the Linearized Navier-Stokes Equations

Department of Mathematics, Kunming University of Science and Technology,Kunming 650500, P.R.China

Funds: The National Natural Science Foundation of China(11561037)

摘要

摘要: 建立了Navier-Stokes方程的预估校正有限差分方法，在此基础上求得了二维水槽内部单涡到双涡的数值解，所得结果与前人的数值结果和解析解吻合很好.数值模拟结果表明，自由振动运动中自由面波高因粘性作用会发生衰减，且Reynolds数越大衰减越缓慢.在短时间内倾斜加速度激励下对于不同Reynolds数会出现一定周期的单涡.经过长时间的倾斜激励，水槽内涡场由单涡变化成双涡，而且只在较低的Reynolds数条件下出现双涡.
- 线性化Navier-Stokes方程 /
- 预估-校正有限差分方法 /
- 涡 /
- 交错网格 /
- 数值模拟
Abstract: A predictor-corrector finite difference method based on the linearized Navier-Stokes equations was developed to numerically simulate the single- and double-vortex motions in 2D rectangular water tanks. Numerical results obtained with the present method were compared with the linearized analytical solution and previously published numerical results, and the agreements were pretty good. It is found that the free surface wave oscillates with a decaying amplitude in the case of viscous fluid, and as the Reynolds number increases, the free surface wave elevation decays more slowly. Under the short-period pitching excitation, a clear single vortex cycle occurs at different Reynolds numbers. However, the single vortex will change to double ones in the case of a long-period pitching excitation, only when the Reynolds number is small to some extent.
- linearized Navier-Stokes equations /
- predictor-corrector finite difference method /
- vortex /
- staggered grid /
- numerical simulation

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参考文献(24)

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基于线性化Navier-Stokes方程二维水槽内单涡到双涡的数值模拟

doi: 10.21656/1000-0887.370118

作者简介:
韩红阳(1991—)，女，硕士生(E-mail: 1559751143@qq.com);罗志强(1973—)，男，博士(通讯作者. E-mail: zql1009@126.com).

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Single- to Double-Vortex Numerical Simulation in 2D Water Tanks Based on the Linearized Navier-Stokes Equations

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留言板

基于线性化Navier-Stokes方程二维水槽内单涡到双涡的数值模拟

doi: 10.21656/1000-0887.370118

作者简介: 韩红阳(1991—)，女，硕士生(E-mail: 1559751143@qq.com);罗志强(1973—)，男，博士(通讯作者. E-mail: zql1009@126.com).

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出版历程

Single- to Double-Vortex Numerical Simulation in 2D Water Tanks Based on the Linearized Navier-Stokes Equations

计量

出版历程

目录

作者简介:
韩红阳(1991—)，女，硕士生(E-mail: 1559751143@qq.com);罗志强(1973—)，男，博士(通讯作者. E-mail: zql1009@126.com).