most citedStructure-preserving approximations of the Serre-Green-Naghdi equations in standard and hyperbolic form

6 citations

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math.NA2026

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations

Denise Aregba-Driollet, Thomas Bellotti, Roberto Natalini +1

We introduce a second-order accurate vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes system, inspired by a discrete-velocity kinetic approximation proposed…

math.NA2026

Analysis and structure-preserving discretization of the Heat-GLM system

Firas Dhaouadi, Laura Río-Martín, Laura R{í}o-Mart{í}n +1

In this paper, we study a prototype hyperbolic system arising from the coupling of Generalized-Lagrangian-Multiplier (GLM) curl-cleaning with linear acoustics. We first show that,…

math.NA2026

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators

Wasilij Barsukow, Christian Klingenberg, Lisa Lechner +3

The Active Flux method is a numerical method for conservation laws using a combination of cell averages and point values as independent degrees of freedom, based on ideas from fini…

math.NA2026★ 6 cited

Structure-preserving approximations of the Serre-Green-Naghdi equations in standard and hyperbolic form

Hendrik Ranocha, Mario Ricchiuto

We develop structure-preserving numerical methods for the Serre-Green-Naghdi equations, a model for weakly dispersive free-surface waves. We consider both the classical form, requi…