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math.NA2023
Generalizing Riemann curvature to Regge metrics
Jay Gopalakrishnan, Michael Neunteufel, Joachim Schöberl +1
In this paper, we propose a generalization of the Riemann curvature tensor on manifolds (of dimension two or higher) endowed with a Regge metric. Specifically, while all components…
math.NA2023
A discontinuous Galerkin approach for atmospheric flows with implicit condensation
Sabine Doppler, Philip L. Lederer, Joachim Schöberl +1
We present a discontinuous Galerkin method for moist atmospheric dynamics, with and without warm rain. By considering a combined density for water vapour and cloud water, we avoid…