4 papers
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,…
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…
Structure-preserving stochastic parameterization of a barotropic coupled ocean-atmosphere model with Ornstein--Uhlenbeck noise
Kamal Kishor Sharma, Peter Korn
We present the first application of the stochastic advection by Lie transport (SALT) framework to an idealized coupled ocean-atmosphere system. SALT derives stochastic fluid equati…
Dynamic Deep Learning Based Super-Resolution For The Shallow Water Equations
Maximilian Witte, Fabricio Rodrigues Lapolli, Philip Freese +4
Using the nonlinear shallow water equations as benchmark, we demonstrate that a simulation with the ICON-O ocean model with a 20km resolution that is frequently corrected by a U-ne…