Paper of Werner Bauer published in Geometric Science of Information volume

The paper “Casimir-dissipation stabilized stochastic rotating shallow water equations on the sphere“, co-authored by Werner Bauer and Rüdiger Brecht (Hamburg), has been published in the proceedings of the 2023 conference on “Geometric Science of Information” (link to publshed paper) and (link to arXiV version). The paper introduces a structure preserving discretization of stochastic rotating shallow water equations, stabilized with an energy conserving Casimir (i.e. potential enstrophy) dissipation. The results for a test case of a barotropically unstable jet show that Casimir dissipation allows for stable simulations that preserve energy and exhibit more dynamics than comparable runs that use a Laplacian. The image below is a screenshot of Figure 3 from the paper.