On the Stokes flow computation algorithm based on woodbury formula
Антон Юрьевич Попов, I. S. Lobanov, I. Yu. Popov, Taras Gerya · Nanosystems Physics Chemistry Mathematics · 2015
The Stokes approximation is used for the description of flow in nanostructures.An algorithm for Stokes flow computation in cases when there is great variation in the viscosity over a small spatial region is described.This method allows us to overcome computational difficulties of the finite-difference method.The background of the approach is using the Woodbury formula -a discrete analog of the Krein resolvent formula.The particular example of a rectangular domain is considered in detail.The inversion of the discrete Stokes operator is made in analytic form for the case of constant viscosity.