MOTICE. Adaptive, parallel numerical solution of hyperbolic conservation laws (Q2721302)

This thesis presents a new high-resolution wave propagation algorithm for multidimensional systems of conservation laws based on Fey's transport method. ``Multidimensional'' means that, contrary to most Riemann-solver-based methods, no dimensional splitting is done, and that the physical direction of wave propagation is taken into account rather than the directions of the underlying grid. The author includes two examples of possible applications of this method, namely Euler equations and ideal magnetohydrodynamic equations. Special emphasis is put on distributed parallelization and solution-adaptive mesh refinement. The thesis contains a lot of practical recommendations for code developers, and could be useful to all practitioners in computational fluid dynamics.