Abstract
The ISNaS-project aims at providing tools for computer aided design and engineering in aerodynamics and hydrodynamics by developing an Information System for the simulation of complex flows based on the Navier-Stokes equations. Major components of the project are the development of a method-shell and of accurate as well as robust solvers for both compressible and incompressible flows. For the incompressible case, guided by typical applications in the field of river and coastal hydrodynamics, a solution procedure is being developed that is capable of handling complicated geometries, including free surface effects, in particular for high-Reynolds number flow regimes. In the present paper the invariant discretization of the incompressible Navier-Stokes equations in general boundary-fitted coordinate systems is discussed. It is found to be important that certain rules are followed concerning the choice of unknowns and the approximation of the geometric quantities. This is illustrated by some preliminary results. Extensions to moving coordinate systems and time-varying computational grids are indicated.
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Mynett, A.E., Wesseling, P., Segal, A. et al. The ISNaS incompressible Navier-Stokes solver: invariant discretization. Appl. Sci. Res. 48, 175–191 (1994). https://doi.org/10.1007/BF02027966
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DOI: https://doi.org/10.1007/BF02027966