Presentations and videos to 10th International Conference on Adaptative Modeling and Simulation (ADMOS)

Implicit shock tracking for unsteady flows by the method of lines

Abstract

We present an extension of the recently developed high-order implicit shock tracking (HOIST) framework for resolving discontinuous solutions of inviscid, steady conservation laws. Using the method of lines, our schemes can handle unsteady flows with moving shocks, using time-accurate [...]
ECCOMAS Congress 2022 - 8th European Congress on Computational Methods in Applied Sciences and Engineering

An extended discontinuous Galerkin method for high-order shock treatment

Abstract

In this paper, we are going to present a high-order shock fitting approach based on a cut-cell method. We formulate a suitable Constraint Optimization Problem and develop an algorithm aiming to reconstruct the shock front represented by the zero iso-contour of a Level Set funct[...]