A blended soundproof-to-compressible numerical model for small-to mesoscale atmospheric dynamics

T Benacchio, WP O'Neill, R Klein - Monthly Weather Review, 2014 - journals.ametsoc.org
A blended model for atmospheric flow simulations is introduced that enables seamless
transition from fully compressible to pseudo-incompressible dynamics. The model equations …

A semi-implicit multiscale scheme for shallow water flows at low Froude number

S Vater, R Klein - … in Applied Mathematics and Computational Science, 2018 - msp.org
A new large time step semi-implicit multiscale method is presented for the solution of low
Froude number shallow water flows. While on small scales which are under-resolved in time …

Metrics for performance quantification of adaptive mesh refinement

N Beisiegel, CE Castro, J Behrens - Journal of Scientific Computing, 2021 - Springer
Non-uniform, dynamically adaptive meshes are a useful tool for reducing computational
complexities for geophysical simulations that exhibit strongly localised features such as is …

Quasi-nodal third-order Bernstein polynomials in a discontinuous Galerkin model for flooding and drying

N Beisiegel, J Behrens - Environmental Earth Sciences, 2015 - Springer
A quasi-nodal discontinuous Galerkin (DG) model employs monotonicity preserving
Bernstein polynomials as basis functions in combination with an efficient vertex-based slope …

A linear low effort stabilization method for the Euler equations using discontinuous Galerkin methods

M Bänsch, J Behrens, S Vater - International Journal for …, 2024 - Wiley Online Library
We present a novel and simple yet intuitive approach to the stabilization problem for the
numerically solved Euler equations with gravity source term relying on a low‐order nodal …

A blended semi-implicit numerical model for weakly compressible atmospheric dynamics

T Benacchio - 2014 - refubium.fu-berlin.de
Atmosphärische Strömungen entfalten sich über ein breites Spektrum von Zeit-und
Raumskalen. Prozesse von meteorologischer Bedeutung haben geringe Geschwindigkeiten …

Asymptotic preserving finite volume schemes for the singularly-perturbed shallow water equations with source terms

H Zakerzadeh - 2017 - hal.science
The shallow water equations are of quite an importance for modelling oceanic flows as a
simple approximation of the water wave equations, which describe the gravity-driven free …

Quantifying Computational Efficiency of Adaptive Mesh Refinement for Shallow Water Solvers

N Beisiegel, CE Castro, J Behrens - 2019 - eartharxiv.org
Non-uniform, dynamically adaptive meshes are a useful tool for reducing computational
complexities for geophysical simulations that exhibit strongly localised features such as is …

[PDF][PDF] Adaptive numerical scheme for volcanic jets

M Bansch - ingv.it
As the 2010 Eyjafjallajokull eruption has shown, a spontaneous explosive eruption with
airborne volcanic ash can lead to disruptions in traffic and have big impacts on society and …