For an approximate solution of the non-stationary nonlinear Navier-Stokes equations for the flow of an incompressible viscous fluid, depending on the set of input data and the geometry of the domain, the area of optimal parameters in the variables $\nu$ and $\nu^{\ast}$ is experimentally determined depending on $\delta$ included in the definition of the $R_{\nu}$-generalized solution of the problem and the degree of the weight function in the basis of the finite element method. To discretize the problem in time, the Runge-Kutta methods of the first and second orders were used. The areas of optimal parameters for various values of the incoming angles are established.
翻译:对于不可压缩粘性流体流动的非定常非线性Navier-Stokes方程的近似解,根据输入数据集合和区域几何特征,通过实验确定了变量$\nu$和$\nu^{\ast}$中与问题$R_{\nu}$广义解定义中包含的$\delta$以及有限元方法基函数中权函数次数相关的最优参数区域。在时间离散化中,采用了一阶和二阶龙格-库塔方法。针对不同入射角值,建立了相应的最优参数区域。