PANS simulations: Low versus high Reynolds number approach

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Symmetry-preserving discretization of the incompressible Navier-Stokes equations

We propose to discretize the convective and diffusive operators in the (incom- pressible) Navier-Stokes equations in such a manner that their symmetries are preserved. The resulting spatial discretization inherits all symmetry-related conservation and stability properties from the continuous formulation. In particularly, a symmetry-preserving...

Experience with DNS of particulate flow using a variant of the immersed boundary method

We perform a grid convergence study for a recently proposed immersed boundary method for DNS of particulate flows with interface resolution [Uhlmann, J. Comput. Phys., 209(2):448-476, 2005]. Two cases of vertical plane Poiseuille flow with suspended heavy particles (with terminal particle Reynolds number >100) are considered, in the laminar and...