【摘要】 本文针对明渠中三维底孔喷射流问题,提出了一个新的求解 N-S 方程的有限差分方法——HH-SIMPLE 方法.用该方法求解三维水流问题,可以保持 SIMPLE 方法的优点,即可将动量方程中的速度与压力解锅;求解离散化动量方程时可用隐式迭代格式,而无需作“刚盖近似”或“静水压力假设”,因而可很好地处理自由表面.本文中用该法求解的算例在国际计算流体力学领域中目前尚为空白,其三维计算结果可精确地描述在上游有来流情况下的浅水底孔喷流的流场、自由水面和压力场问题.计算结果和试验资料吻合较好.更多还原

【Abstract】 In the paper a new finite difference method HH-SIMPLE has been Presented.The method is derived by combining SIMPLE algorithm(presented by D.B.Spalding and S.V.Patankar 1972)with two additional equations concerning(the water surface elevation H and a new concept)about hydraulic pressure.The method can keep the major advantage of SIMPLE of adopting implicit finite difference schemes to discretize momentum equation while “Rigid-Lid approximation”and“Hydro-static pressure assumption”need not be used.As a calculational example,the HH-SIMPLE method is applied to a bottom discharge into an open channel for 3-D situation to obtain the velocity,pressure fields and the free surface configuration.The numerical results obtained are compared with some experimental data and the agreement is generally good.更多还原