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Author

Christian Klingenberg

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Preprint Sep 2026

A compact high-order and positivity-preserving active flux method for compressible Navier--Stokes equations on Cartesian meshes

This paper develops a compact fourth-order positivity-preserving active flux (AF) method for the one- and two-dimensional compressible Navier--Stokes equations on Cartesian meshes. The method retains the cell averages and shared point values of the standard third-order AF method as its degrees of freedom. To avoid the...

Jun-Ming Duan, Wasilij Barsukow, Christian Klingenberg · 0 citations

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