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20202026
most citedSpline Moment Models for the one-dimensional Boltzmann-BGK equation

4 citations · 5 across the 10 of their papers we have counts for

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6 papers · 1 filter

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…

math.NA2025

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…

math.NA2025

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…

math.NA2025

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…

math.NA2025

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…

math.NA2025

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…