Abstract
A fourth-order finite-volume method for the three-dimensional Navier–Stokes equations is presented. It uses a novel divergence-free interpolation ensuring mass balance over the momentum cell. The fourth-order convergence rate is shown by the amplitude growth of the most unstable eigenmode in the plane channel flow. Application of the method to a turbulent channel flow demonstrates that the scheme is highly accurate and efficient.
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Hokpunna, A., Manhart, M. (2010). Compact Fourth-Order Finite-Volume Method for Numerical Solutions of Navier–Stokes Equations on Staggered Grids. In: Armenio, V., Geurts, B., Fröhlich, J. (eds) Direct and Large-Eddy Simulation VII. ERCOFTAC Series, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3652-0_19
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DOI: https://doi.org/10.1007/978-90-481-3652-0_19
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