Welcome to the "Flow passing through a cooling system"

The above figure is a visualization of the vorticity profile at time t=2 of incompressible flow passing through a cooling system. The Reynolds number is taken to be 2000.

Such flow motion can be described as incompressible Navier-Stokes equations. We use a compact fourth order method to simulate such process. Only two poisson solvers are needed at each Runge-Kutta time stage. The no-slip boundary condition for the velocity is converted into high order boundary condition for the vorticity, such as Briley's formula. The main difficulty and trick lies in the Poisson solvers, because of the complexity of the flow region. The numerical experimant shows that Schwarz iteration plus FFT gives an excellent convergence result for the poisson solvers.

  • Time evolution of vorticity from t=0 to t=2


    Incompressible Flow:
    J.-G. Liu and C Wang: ``High order finite difference methods for unsteady incompressible flows in multi-connected domains", Computers and Fluids, vol. 33 (2), 2004, pp. 223-255.

    Please send any comments or suggestions to: cwang1@umassd.edu, 04/27/14