Accurately quantifying the capacity of sewer inlets (such as manhole lids and gullies) to
transfer water is important for many hydraulic flood modelling tools. The large range of inlet …

Real-world flood simulators often use first-order finite volume (FV1) solvers of the shallow
water equations with efficiency enhancements exploiting parallelisation on Graphical …

Reduced-order models (ROMs) based on the proper orthogonal decomposition have been
proposed to reduce the computational resources required by the full-order models (FOMs) to …

In Gerhard et al.(2015a) a new class of adaptive Discontinuous Galerkin schemes has been
introduced for shallow water equations, including the particular necessary properties, such …

Multiwavelets (MW) enable the compression, analysis and assembly of model data on a
multiresolution grid within Godunov-type solvers based on second-order discontinuous …

This paper reviews how dynamically adaptive wavelet methods can be designed to simulate
atmosphere and ocean dynamics in both flat and spherical geometries. We highlight the …

Wavelet-based grid resolution adaptation driven by the 'multiresolution analysis'(MRA) of the
Haar wavelet (HW) allows to devise an adaptive first-order finite volume (FV1) model …

This paper presents a scaled reformulation of a robust second-order Discontinuous Galerkin
(DG2) solver for the Shallow Water Equations (SWE), with guiding principles on how it can …

An important feature of the two-layer shallow flow model is that the resulting system of
equations cannot be expressed in conservation-law form. Here, the HLLS and ARoe solvers …

A new approach is developed for data assimilation into adaptive mesh models with the
ensemble Kalman filter (EnKF). The EnKF is combined with a wavelet-based multiresolution …