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math.AP2026
Exact conservation as selection principle: discrete exterior calculus for the incompressible Navier-Stokes and Euler equations
Peter Korn
We formulate a new discrete-exterior calculus based discretisation of the incompressible Euler and Navier-Stokes equations that preserves the geometric structure of the continuum,…
math.AP2026
A no-go theorem and its resolution for the discrete compressible barotropic Navier--Stokes equations
Peter Korn
The compressible barotropic Navier--Stokes equations in vector-invariant form preserve the vorticity structure of the system and underlie modern atmospheric and ocean dynamical cor…