An accurate second-order approximation factorization method for time-dependent incompressible Navier-Stokes equations in spherical polar coordinates
We present in detail a finite-difference method for solving three-dimensional, time-depenent incompressible Navier-Stokes equations in spherial polar coordinates. A new algorithm, which is second-order accurate in time and space, is considered, and decoupling between the velocity and the pressure is achieved by this algorithm. The method is tested by computing the spherical Couette flow between two concentric spheres, with the inner one rotating. \(\copyright\) Academic Press.
scientific article; zbMATH DE number 1290130
scientific article