Compressible Navier–Stokes flow in Schrödinger-type variables
Apr 29, 2026·
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1 min read
James R. Beattie
Our paper, Compressible Navier–Stokes Flow in Schrödinger-Type Variables, is available on arXiv.
With Max Sokolova, Khush Negandhi, and Bart Ripperda, I derive an exact reformulation of isothermal compressible Navier–Stokes flow using Cole–Hopf-type transformations. The construction separates compressive, vortical, and density-carrying parts of the flow in two and three dimensions.
We test the transformed equations against a direct Kelvin–Helmholtz shear-layer simulation. The comparison is described in Section IV of the paper.
Update, September 2026: The paper is accepted in Physical Review Research, as noted in the current arXiv record.
Read the preprint, download the PDF, or view the science highlight.
