用拟压缩性方法求解不可压Euler方程

Computing the incompressible Euler equations with pseudocompressible method

用拟压缩性方法和Jameson的有限体积算法求解了二维和三维定常不可压Euler方程。分别采用显、隐式时间离散推进求解;分析了人工粘性的阶数对定常解收敛性的影响。应用该方法计算了单个翼型和翼身组合体的低速绕流。

The method of pseudocompressibility has been found to be an effcient method for obtaining a steady\|state solution to the incompressible Euler and Navier\|Stokes equations. The method is used to solve the 2\|D and 3\|D steady incompressible Euler equations in this aper. At first, the algorithm of approximate factorization of Beam\|Warming type is employed, then the four\|step Rung\|Kutta algorithm is used, numerical experiment proved that this explicit time integration method is also an idealized method to obtain the steadystate solution for pseudocompressible Euler equation. Moreover, the effect of the order of the dissipative term on convergence of steady\|state solution is analysised, which indicate that two\|order derivatives in dissipative terms is necessary to maintain the stability of the scheme,but in three\|dimensional computations, it may not necessary. The computing efficiency of these algorithms are compared. Identical solutions are obtained from both algorithms which compare well with experimental results.