A Generalized Continuous Mesh Framework for Explicit Mesh Curving
Lucien Rochery, Marshall C. Galbraith, David Darmofal, Steven R. Allmaras · 2024
This paper proposes a new generalization of the continuous mesh framework to high-order (curved) meshes. In the classic linear framework, unit elements in a metric field, by definition, have edge lengths of one. However, this definition of unity is not sufficient to define the shape (Jacobian matrix everywhere) of high-order elements. We propose a generalization to high-order elements that prescribes the element Jacobian matrix everywhere, as well as higher order derivatives. Applying this to