Summary
A method to compute flows around arbitrarily shaped surfaces with cartesian grids is presented. It is implemented in the framework of a second-order finite volume method based on staggered variable arrangement. The method uses Dirichlet velocity boundary conditions for cells located closest to the body surface in order to satisfy the wall no-slip and impermeability conditions. The velocity values are obtained by spatial interpolation/extrapolation of field values via third order Lagrangian polynomials. The method has been validated for steady and unsteady laminar flows and also for a turbulent pipe flow. Validation tests show that the method preserves the second order accuracy of the code MGLET and that reliable solutions can be obtained.
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Tremblay, F., Friedrich, R. (2002). An Algorithm to Treat Flows Bounded by Arbitrarily Shaped Surfaces with Cartesian Meshes. In: Wagner, S., Rist, U., Heinemann, HJ., Hilbig, R. (eds) New Results in Numerical and Experimental Fluid Mechanics III. Notes on Numerical Fluid Mechanics (NNFM), vol 77. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45466-3_35
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DOI: https://doi.org/10.1007/978-3-540-45466-3_35
Publisher Name: Springer, Berlin, Heidelberg
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