9 papers
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…
Primitive variable regularization to derive novel Hyperbolic Shallow Water Moment Equations
Julian Koellermeier
Shallow Water Moment Equations are reduced-order models for free-surface flows that employ a vertical velocity expansion and derive additional so-called moment equations for the ex…
A new Energy Equation Derivation for the Shallow Water Linearized Moment Equations
Julian Koellermeier
Shallow Water Moment Equations (SWME) are extensions to the well-known Shallow Water Equations (SWE) for the efficient modeling and numerical simulation of free-surface flows. Whil…
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…
Spline Shallow Water Moment Equations
Ullika Scholz, Julian Koellermeier
Reduced models for free-surface flows are required due to the high dimensionality of the underlying incompressible Navier-Stokes equations, which need to fully resolve the flow in…
Well-balanced path-conservative discontinuous Galerkin methods with equilibrium preserving space for shallow water linearized moment equations
Ruilin Fan, Julian Koellermeier, Yinhua Xia +2
This paper presents high-order, well-balanced, path-conservative discontinuous Galerkin (DG) methods for the shallow water linearized moment equations (SWLME), designed to preserve…