3 papers
math.NA2026
Entropy analysis and entropy stable DG methods for the 1D shallow water moment equations
Julio Careaga, Patrick Ersing, Julian Koellermeier +1
We demonstrate that the one-dimensional shallow water moment equations satisfy an auxiliary entropy conservation law, where the entropy function corresponds to the total energy. Ad…
math.NA2026
Asymptotic Analysis of Shallow Water Moment Equations
Mieke Daemen, Julio Careaga, Zhenning Cai +1
The Shallow Water Moment Equations (SWME) are an extension of the Shallow Water Equations (SWE) for improved modelling of free-surface flows. In contrast to the SWE, the SWME incor…
math.NA2025
A moment model of shallow granular flows with variable friction laws
Julio Careaga, Qian Huang, Julian Koellermeier
In this work, we develop a modelling framework for granular flows based on the shallow water moment equations on inclined planes. Under the assumption of a polynomial expansion of…