Solution of the Taylor-Green Vortex Problem Using Artificial Compressibility Method in Generalized Curvilinear Co-ordinates
نویسنده
چکیده
The aim of this project was to develop a code for solving the 2D, incompressible Navier-Stokes equations in generalized curvilinear coordinates using artificial compressibility method. A code was developed using MATLAB where three-point, second order finite differencing was used to discretize the convective and viscous fluxes in conjunction with scalar, fourth-difference, third-order artificial dissipation for stability. Dual time-stepping with a second-order backward scheme in real time and four stage Runge-Kutta time stepping was used for pseudo time. The code was applied to an unsteady, incompressible flow field known as Taylor-Green vortex. The solution was marched in time till t=0.1s for a Reynolds number of 100. Periodic boundary conditions were used at the boundaries of the domain (x, y = (0, 2pi)). The results were plotted and compared against the analytical solution of Taylor-Green vortex.
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