bensmith95 / sphere-steady-flow

MATLAB code that solves and compiles the steady flow around a rotating sphere

Sphere-Steady-Flow

MATLAB code that solves and compiles the steady flow around a rotating sphere. The package contains code that solves the rotating sphere boundary layer, a new model of the impinging region and the subsequent eruption of the radial jet.

The impinging region has been rederived via a new scaling argument but is still solved in the same manner as the Stewartson code, via a multigrid method. However, the azimuthal momentum equation is now coupled which does slow convergance slightly, nevertheless, it still is significantly quicker than a full DNS. Additionally, the radial jet is also solved via both Picard and Newton methods; the Picard method is needed to obtain a reasonable guess for the Newton method to find a convergent solution. For full details see Smith et al (2023) [in draft].

To run the code, download all the files making sure the directory structure remains intact. Then simply enter BaseFlow(Re) in the command window, where Re is the square root of the Reynolds number. The data will be saved in a directory called Flows that will be created automatically. To see the results run the file figures.m.