@inproceedings{227e8c5a20ea4016b49eb4373f133ce3,
title = "Symmetry-preserving discretization for DNS",
abstract = "This paper describes a numerical method for solving the (incompressible) Navier-Stokes equations that is based on the idea that the motivation for discretizing differential operators should be to mimic their fundamental conservation and dissipation properties. Therefore, the symmetry of the underlying differential operators is preserved. The resulting discretization is stable on any grid. Its accuracy is tested for a turbulent channel flow at Re-tau =180 by comparing the results to those of physical experiments and previous numerical studies. The method is generalized to compute flows in domains with arbitrarily-shaped boundaries, where the boundary is represented using the Cartesian grid approach. To that end, a novel cut-cell discretization has been developed. The boundary treatment is successfully tested for flow around a circular cylinder.",
keywords = "finite-volume discretization, conservation, stability, Navier-Stokes equations, turbulence, channel flow, Cartesian grid method, flow past circular cylinder, FINITE-DIFFERENCE SCHEMES, NONUNIFORM MESHES, REYNOLDS-NUMBER, CHANNEL FLOW, TURBULENCE",
author = "R.W.C.P. Verstappen and M.T. Dr{\"o}ge and A.E.P. Veldman",
note = "Relation: http://link.springer.com/ Rights: Springer-Verlag; 5th International ERCOFTAC Workshop on Direct and Large-Eddy Simulation ; Conference date: 27-08-2003 Through 29-08-2003",
year = "2004",
language = "English",
isbn = "9789048165759",
series = "ERCOFTAC SERIES (EUROPEAN RESEARCH COMMUNITY ON FLOW, TURBULENCE AND COMBUSTION)",
publisher = "Springer",
pages = "135--146",
editor = "R Friedrich and BJ Geurts and O Metais",
booktitle = "Direct and Large-Eddy Simulation V, Proceedings",
}