Application of FCT to Incompressible Flows
NAVAL RESEARCH LAB WASHINGTON DC
Pagination or Media Count:
The flux-corrected transport algorithm FCT has been used to solve the Navier-Stokes equation for incompressible flows on colocated grids. In the approach presented here, FCT is used to calculate either the convection terms or to integrate the entire momentum equation. This has the effect of minimizing numerical diffusion globally and adding diffusion selectively where it is required to stabilize the algorithm. Since an odd-even decoupling instability arises in standard algorithms that update a pressure correction in the Poisson equation, we have avoided this instability by using an intermediate velocity to update the full pressure, rather than the pressure correction. We have tested the new algorithm by computing a series of 2-D flows, and the numerical results agree well with either analytical solutions or other published simulation results. We have also applied this algorithm to a 3-D microchannel flow containing staggered herringbone structures to demonstrate the general capability of the method.
- Numerical Mathematics
- Fluid Mechanics