用略微简化Navier-Stokes方程求解层流分离流动的研究

AN INVESTIGATION OF THE SOLUTION OF LAMINAR SEPARATED FLOWS BY THE SLIGHTLY REDUCED NAVIER-STOKES EQUATIONS

对平板不可压层流绕流,证明了在分离点SRNS方程的解是正则的;与各种RNS方程相比,SRNS方程的解与CNS的极为接近,是后者的很好近似.数值计算表明,其结果与CNS方程解、实验结果都相符合,而计算却大为简化.

For an incompressible laminar flow past a flat plate it is proved that the solution of the SRNS equations is regular at the point of separation and is very close to the solution of the complete Navier-Stokes equations, and the SRNS equations are a precise approximation to the CNS equations. The numerical examples show that the computational results of the SRNS equations are accurate and the calculation is simplified greatly. It is expected that they are an effective tool to calculate the complex viscous flows.