2020/11/13 by Riccardo Fazio, Fazio, Riccardo
Engineering · #34B15 #65L08 #65L10 #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis #Nanofluid Flow and Heat Transfer #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.2011.07724
openalex publication_date 2020/11/13 · openalex created_date 2024/02/01 · openalex updated_date 2026/07/28
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.