Repository: Freie Universit├Ąt Berlin, Math Department

A dimensionally split Cartesian cut cell method for the compressible Navier-Stokes equations

Gokhale, N. and Nikiforakis, N. and Klein, R. (2018) A dimensionally split Cartesian cut cell method for the compressible Navier-Stokes equations. Journal of Computational Physics, 375 . pp. 1205-1219.

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Official URL: https://doi.org/10.1016/j.jcp.2018.09.023

Abstract

We present a dimensionally split method for computing solutions to the compressible Navier-Stokes equations on Cartesian cut cell meshes. The method is globally second order accurate in the L1 norm, fully conservative, and allows the use of time steps determined by the regular grid spacing. We provide a description of the three-dimensional implementation of the method and evaluate its numerical performance by computing solutions to a number of test problems ranging from the nearly incompressible to the highly compressible flow regimes. All the computed results show good agreement with reference results from theory, experiment and previous numerical studies. To the best of our knowledge, this is the first presentation of a dimensionally split cut cell method for the compressible Navier-Stokes equations in the literature.

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:2316
Deposited By: Ulrike Eickers
Deposited On:18 Mar 2019 10:54
Last Modified:18 Mar 2019 10:54

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