Automated mesh adaptation is known to be an efficient way to control discretization errors in
Computational Fluid Dynamics (CFD) simulations. It offers the added advantage that the …

In this work, the effects of adaptivity and discretization order are studied on the solutions of a
two-dimensional multielement high-lift airfoil test case. The flow in this test case is simulated …

A new high-order mesh correction method is introduced. Using the simplex algorithm, it
maximizes directly the minimum of all control coefficients depending on a control point. This …

View Video Presentation: https://doi. org/10.2514/6.2023-2367. vid We present mesh node
movement as an effective discretization error control strategy for shape optimization …

This paper presents Metris, a new piece of open source metric-based mesh adaptation
software. The main novelty of this software is its ability to handle high-order meshes, and to …

The presented work focuses on the error sampling and synthesis procedure within an
optimization framework for high-order, metric-based mesh adaptation in high-order, finite …

We study practical strategies for producing optimal warped, finite-element meshes for
simulating flow problems involving mesh motions. Geometrical warping is obtained by …

Higher order, adaptive finite element methods have demonstrated the ability to significantly
reduce the human and computational cost of accurately approximating the solution to partial …