基于高精度Boussinesq方程的数值模拟潜艇尾迹
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摘要
基于高精度速度势布西内斯克(Boussinesq)方程的三维数值波浪水池模拟潜艇在水下航行过程中自由表面波浪形态变化.三维数值波浪水池采用高精度Boussinesq方程模拟波浪传播和衍化过程,造波区域采用流函数理论产生线性与非线性波浪,消波区域采用人工阻尼函数消除波浪反射.通过对称轴水平面将DARPASUBOFF潜艇模型分割为上下两部分,模型上部固定于数值水池水平底部,视为底部隆起.基于流函数生成规则行进波进而模拟潜艇在水下航行时形成的尾迹.数值计算结果给出伯努利水丘和开尔文波水动力尾迹特征.结果表明:该方法是有效的;相对于传统黏性流体计算方法,在同等计算精度的前提下,该方法效率更高.
The free surface waveform when submarine sails underwater was simulated by 3 D numerical wave tank based on high accuracy Boussinesq equation.The wave propagation and derivation were calculated by the Boussinesq equation.The linear and nonlinear waves were generated by stream function theory and artificial damping function was used in eliminating waves.The Defense Advanced Research Projects Agency(DARPA) SUBOFF model was sliced by horizontal plane and axis of symmetry.The upper part was fixed on wave tank bottom and became a hump.The regular wave was produced by the stream function method and numerical results,presenting the Bernoulli dome and Kalvin wave.Research results indicate that compared with traditional CFD methods,this method is valid,and the Boussinesq equation is more efficient under the same computational accuracy.
The free surface waveform when submarine sails underwater was simulated by 3 D numerical wave tank based on high accuracy Boussinesq equation.The wave propagation and derivation were calculated by the Boussinesq equation.The linear and nonlinear waves were generated by stream function theory and artificial damping function was used in eliminating waves.The Defense Advanced Research Projects Agency(DARPA) SUBOFF model was sliced by horizontal plane and axis of symmetry.The upper part was fixed on wave tank bottom and became a hump.The regular wave was produced by the stream function method and numerical results,presenting the Bernoulli dome and Kalvin wave.Research results indicate that compared with traditional CFD methods,this method is valid,and the Boussinesq equation is more efficient under the same computational accuracy.
引文
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[4]张效慈.潜艇内波尾迹物理场在海面映波量值的确定[J].船舶力学,2005,9(4):25-30.
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[6]徐世昌.潜艇运动产生的内波与潜艇尾迹的SAR遥感仿真[D].哈尔滨:哈尔滨工程大学船舶工程学院,2006.
[7]刘洋,朱飞定,谭佩钰,等.潜艇水动力尾迹与热尾迹耦合作用的数值模拟[J].红外技术,2018,40(1):62-67.
[8]BINGHAM H B,MADSEN P A,Fuhrman D R.Velocity potential formulations of highly accurate Boussinesq-type models[J].Coastal Engineering,2009,56:467-478.
[9]何栋彬,房克照,孙家文,等.礁坪上波浪传播的数值模拟[J].海洋通报,2018,37(2):129-138.
[10]张俊生.浅水波浪与物体作用的全时域三维数值模型及其应用[D].大连:大连理工大学水利工程学院,2017.
[11]GROVES N C,HUANG T T,CHANG M S.Geometric characteristics of DARPA suboff models:report of ship hydrodynqmics department[R].Bethesda:David Taylor Research Center,1989.
[12]赵彬彬.基于G-N理论的三维非线性水波数值模拟方法研究[D].哈尔滨:哈尔滨工程大学船舶工程学院,2010.
[2]常煜,洪方文.两层流中潜艇水下尾迹的数值模拟[J].水动力学研究与进展:A辑,2006,21(1):76-83.
[3]杨立,初明忠,张健,等.潜艇尾迹内波的实验研究[J].船舶力学,2008,12(1):18-24.
[4]张效慈.潜艇内波尾迹物理场在海面映波量值的确定[J].船舶力学,2005,9(4):25-30.
[5]郜键.条纹管激光成像雷达海面小尺度波探测探潜技术研究[D].哈尔滨:哈尔滨工业大学航天学院,2014.
[6]徐世昌.潜艇运动产生的内波与潜艇尾迹的SAR遥感仿真[D].哈尔滨:哈尔滨工程大学船舶工程学院,2006.
[7]刘洋,朱飞定,谭佩钰,等.潜艇水动力尾迹与热尾迹耦合作用的数值模拟[J].红外技术,2018,40(1):62-67.
[8]BINGHAM H B,MADSEN P A,Fuhrman D R.Velocity potential formulations of highly accurate Boussinesq-type models[J].Coastal Engineering,2009,56:467-478.
[9]何栋彬,房克照,孙家文,等.礁坪上波浪传播的数值模拟[J].海洋通报,2018,37(2):129-138.
[10]张俊生.浅水波浪与物体作用的全时域三维数值模型及其应用[D].大连:大连理工大学水利工程学院,2017.
[11]GROVES N C,HUANG T T,CHANG M S.Geometric characteristics of DARPA suboff models:report of ship hydrodynqmics department[R].Bethesda:David Taylor Research Center,1989.
[12]赵彬彬.基于G-N理论的三维非线性水波数值模拟方法研究[D].哈尔滨:哈尔滨工程大学船舶工程学院,2010.