Optimization of a numerical method to calculate elliptic flows

A local relaxation method for the numerical simulation of elliptic flows was derived. Elliptic flows are steady state turbulent flows with recirculating zones whose mathematical description leads to second order partial differential equations of the elliptic type. The numerical calculation methods for such flows belong to the class of finite volume methods. They lead to a system of algebraic equations iteratively solved by relaxation. A local relaxation method is derived providing strongly improved stability and convergence properties of the iterative process.