The spectral/hp element method combines the geometric flexibility of the classical h-type
finite element technique with the desirable numerical properties of spectral methods …

Systematic tsunami traveltime delays of up to 15 min relative to the numerically simulated
long waves from the 2010 Chilean and 2011 Tohoku‐Oki earthquakes were widely …

The simulation of turbulent flows requires high spatial resolution in potentially a priori
unknown, solution-dependent locations. To achieve adaptive refinement of the mesh, we …

Non-linear entropy stability and a summation-by-parts framework are used to derive entropy
stable wall boundary conditions for the three-dimensional compressible Navier–Stokes …

We present a novel high-order discontinuous Galerkin discretization for the spherical
shallow water equations, able to handle wetting/drying and non-conforming, curved meshes …

The implementation of adaptive mesh refinement (AMR) in the spectral-element method
code Nek5000 is used for the first time on the well-resolved large-eddy simulation of the …

This thesis deals with the improvement of the efficiency of numerical simulations in
computational fluid dynamics. Some of the limitations of current algorithms on future …

One difficulty in developing numerical methods for tsunami modeling is the fact that solutions
contain time-varying regions where much higher resolution is required than elsewhere in the …

A discontinuous Galerkin nonhydrostatic atmospheric model is used for two‐dimensional
and three‐dimensional simulations. There is a wide range of timescales to be dealt with. To …

The second-order discontinuous Galerkin (DG2) solver of the shallow water equations in
LISFLOOD-FP 8.0 is well-suited for predicting small-scale transients that emerge in rapid …