Numerical Solution of Nonlinear Partial Differential Equations of Gas Dynamics and Their Practical Application
by
Dmytro Redchyts`
Institute of Transport Systems and Technologies of National Academy of Sciences of Ukraine

The report covers the typical aspects of numerical solution of nonlinear PDE's of gas dynamics (Navier-Stokes equations) such as selection of initial mathematical model and model of turbulence, selection of the numerical method, verification and testing of developed codes, post-processing and visualization of obtained results. In the capacity of practical application of Navier-Stokes equations, processes of aerodynamics and dynamics of vertical-axis wind turbines were researched. Incompressible Navier-Stokes equations were solved in time-accurate manner using the method of pseudocompressibility and Rogers-Kwak scheme. Three one-equation turbulence models SA, SARC and SALSA were used. Results of numerical simulation for wind turbine rotors with different geometrical characteristics and different number of blades are presented.

Date received: August 8, 2007