We discuss software tool support for the algorithmic differentiation (AD), also known as
automatic differentiation, of numerical simulation programs that contain calls to solvers for …

A methodology for constructing the sensitivity of the incompressible Navier–Stokes
equations is presented as the context for differentiating high-level Fortran source code using …

An unsteady discrete adjoint implementation for a discontinuous Galerkin model solving the
shallow water wave equations on the sphere is presented. Its use for tsunami simulations is …

1.1 Background This dissertation was created at the Software and Tools for Computational
Engineering (STCE) institute of RWTH University in Aachen. At the time of this writing the …

We suggest an algorithm that quantifies the discretization error of time-dependent physical
quantities of interest (goals) for numerical models of geophysical fluid dynamics. The goal …

We are developing a coupling software ppOpen-MATH/MP. ppOpen-MATH/MP is
characterized by its wide applicability. This feature comes from the design that grid point …

We estimate the discretization error of time-dependent goals that are calculated from a
numerical model of the spherical shallow-water equations. The goal errors are described as …

We propose a generalized discretization procedure for meshes on general polytopes for our
new set of invariant equations of geophysical fluid dynamics (GFD) and develop a goal …

Four-dimensional variational data assimilation (4D-Var) produces unavoidable inaccuracies
in the models initial state vector. In this paper the authors investigate a novel variational …

Numerical models in atmospheric sciences not only need to approximate the flow equations
on a suitable computational grid, they also need to include subgrid effects of many non …