论文标题
移动壁边界层流动的数值转换方法在移动的平板上流动的无气流
Numerical Transformation Methods for a Moving-Wall Boundary Layer Flow of a Rarefied Gas Free Stream over a Moving Flat Plate
论文作者
论文摘要
本文的第一个贡献是一个非文字转换方法的扩展，该方法是由Töpfer在一个世纪前提出的，并定义为Blasius问题的数值解决方案，以扩展到扩展边界条件的Blasius问题。该方法利用两个物理参数相对于一个点转换的缩放组的不变性，使我们能够通过解决相关的初始值问题，然后重新缩放所获得的数值解决方案，从而在数值上解决Blasius问题。因此，我们的方法是一种初始值方法。但是，通过这种方式，我们无法提前修复物理参数，如果我们只需要计算两个参数的给定值的数值解决方案，我们必须定义转换方法的迭代扩展，这是这项工作的第二个贡献。
The first contribution of this paper is the extension of the non-iterative transformation method, proposed by Töpfer more than a century ago and defined for the numerical solution of the Blasius problem, to a Blasius problem with extended boundary conditions. This method, which makes use of the invariance of two physical parameters with respect to a scaling group of point transformation, allows us to solve numerically the Blasius problem with extended boundary conditions by solving a related initial value problem and then rescaling the obtained numerical solution. Therefore, our method is an initial value method. However, in this way, we cannot fix in advance the physical parameters, and if we need just to compute the numerical solution for given values of the two parameters we have to define an iterative extension of the transformation method, which is the second contribution of this work.
