Repository: Freie Universit├Ąt Berlin, Math Department

Well Balanced Compressible Cut-Cell Simulation of Atmospheric Flow

Klein, R. and Bates, K.R. and Nikiforakis, N. (2009) Well Balanced Compressible Cut-Cell Simulation of Atmospheric Flow. Philosophical Transaction of the Royal Society, 367 (1907). 4559-4575 . ISSN Online: 1471-2962

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Cut-cell meshes present an attractive alternative to terrain-following coordinates for the representation of topography within atmospheric flow simulations, particularly in regions of steep topographic gradients. In this paper, we present an explicit two-dimensional method for the numerical solution on such meshes of atmospheric flow equations including gravitational sources. This method is fully conservative and allows for time steps determined by the regular grid spacing, avoiding potential stability issues due to arbitrarily small boundary cells. We believe that the scheme is unique in that it is developed within a dimensionally split framework, in which each coordinate direction in the flow is solved independently at each time step. Other notable features of the scheme are: (i) its conceptual and practical simplicity, (ii) its flexibility with regard to the one-dimensional flux approximation scheme employed, and (iii) the well-balancing of the gravitational sources allowing for stable simulation of near-hydrostatic flows. The presented method is applied to a selection of test problems including buoyant bubble rise interacting with geometry and lee-wave generation due to topography.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group
ID Code:530
Deposited By: Ulrike Eickers
Deposited On:10 Jul 2009 13:52
Last Modified:11 Aug 2010 10:48

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