Numerical Solutions of 2-D Steady Incompressible Flow in a Driven Skewed Cavity
<|reference_start|>Numerical Solutions of 2-D Steady Incompressible Flow in a Driven Skewed Cavity: The benchmark test case for non-orthogonal grid mesh, the "driven skewed cavity flow", first introduced by Demirdzic et al. (1992, IJNMF, 15, 329) for skew angles of alpha=30 and alpha=45, is reintroduced with a more variety of skew angles. The benchmark problem has non-orthogonal, skewed grid mesh with skew angle (alpha). The governing 2-D steady incompressible Navier-Stokes equations in general curvilinear coordinates are solved for the solution of driven skewed cavity flow with non-orthogonal grid mesh using a numerical method which is efficient and stable even at extreme skew angles. Highly accurate numerical solutions of the driven skewed cavity flow, solved using a fine grid (512x512) mesh, are presented for Reynolds number of 100 and 1000 for skew angles ranging between 15<alpha<165.<|reference_end|>
@article{erturk2005numerical,
    title={Numerical Solutions of 2-D Steady Incompressible Flow in a Driven Skewed
  Cavity},
    author={E. Erturk and B. Dursun},
    journal={ZAMM - Journal of Applied Mathematics and Mechanics 2007, Vol 87,
  pp 377-392},
    year={2005},
    doi={10.1002/zamm.200610322},
    archivePrefix={arXiv},
    eprint={physics/0505121},
    primaryClass={physics.flu-dyn cs.NA math.NA physics.comp-ph}
}