Abstract
A Cartesian cut-cell solver is presented to simulate two- and three-dimensional viscous, compressible flows on arbitrarily refined graded meshes. The finite-volume method uses cut cells at the boundaries rendering the method strictly conservative and is flexible in terms of shape and size of embedded boundaries. A linear least-squares method is used to reconstruct the cell center gradients in irregular regions of the mesh such that the surface flux can be formulated. The accuracy of the method is demonstrated for the three-dimensional laminar flow past a sphere.
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© 2011 Springer-Verlag Berlin Heidelberg
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Hartmann, D., Meinke, M., Schröder, W. (2011). A Cartesian Cut-Cell Solver for Compressible Flows. In: Krause, E., Shokin, Y., Resch, M., Kröner, D., Shokina, N. (eds) Computational Science and High Performance Computing IV. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 115. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17770-5_27
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DOI: https://doi.org/10.1007/978-3-642-17770-5_27
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-17769-9
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