Towards an h-adaptive immersed boundary method for the unsteady incompressible Navier-Stokes equations
This paper treats the development and validation of a numerical method for the solution of the unsteady incompressible Navier-Stokes equations in two dimensions. The method of choice is a Godunov-type pressure-free correction method similar to the method developed by Lee and LeVeque. Validation is done by considering a two-dimensional boundary-layer flow along a flat-plate. The resulting method provides a starting point for the development of an h-adaptive immersed boundary method to be applied to the flapping flexible filament problem proposed by Zhu and Peskin.
|unsteady incompressible Navier-Stokes equations, pressure-correction method, boundary-layer flow"|
|Multigrid methods; domain decomposition (msc 65M55), Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (msc 65M60), Navier-Stokes equations (msc 76D05)|
|Life Sciences (theme 5), Energy (theme 4)|
|Modelling, Analysis and Simulation [MAS]|
Naber, J, & Koren, B. (2007). Towards an h-adaptive immersed boundary method for the unsteady incompressible Navier-Stokes equations. Modelling, Analysis and Simulation [MAS]. CWI.