4 citations · 5 across the 10 of their papers we have counts for
11 papers
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…
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…
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…
High order global flux schemes for general steady state preservation of shallow water moment equations with non-conservative products
Mirco Ciallella, Julian Koellermeier
Shallow water moment equations are reduced-order models for free-surface flows that allow to represent vertical variations of the velocity profile at the expense of additional evol…
Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Shallow Water Linearized Moment Equations
Yangyang Cao, Qian Huang, Julian Koellermeier +2
We develop second-order path-conservative central-upwind (PCCU) schemes for the hyperbolic shallow water linearized moment equations (HSWLME), which are an extension of standard de…
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…
Capturing vertical information in radially symmetric flow using hyperbolic shallow water moment equations
Rik Verbiest, Julian Koellermeier
Models for shallow water flow often assume that the lateral velocity is constant over the water height. The recently derived shallow water moment equations are an extension of thes…
Equilibrium Stability Analysis of Hyperbolic Shallow Water Moment Equations
Qian Huang, Julian Koellermeier, Wen-An Yong
In this paper we analyze the stability of equilibrium manifolds of hyperbolic shallow water moment equations. Shallow water moment equations describe shallow flows for complex velo…
Spline Moment Models for the one-dimensional Boltzmann-BGK equation
Julian Koellermeier, Ullika Scholz
We introduce Spline Moment Equations (SME) for kinetic equations using a new weighted spline ansatz of the distribution function and investigate the ansatz, the model, and its perf…