In this paper, we describe a way to compute accurate bounds on Jacobian determinants of curvilinear polynomial finite elements. Our condition enables to guarantee that an element is …
We present a method for the generation of higher-order tetrahedral meshes. In contrast to previous methods, the curved tetrahedral elements are guaranteed to be free of …
We propose a method to generate high-order unstructured curved meshes using the classical Winslow equations. We start with an initial straight-sided mesh in a reference …
We present a successful deployment of high-fidelity large-eddy simulation (LES) technologies based on spectral/hp element methods to industrial flow problems, which are …
We present a robust method for generating high‐order nodal tetrahedral curved meshes. The approach consists of modifying an initial linear mesh by first, introducing high‐order …
K Dréau, N Chevaugeon, N Moës - Computer Methods in Applied …, 2010 - Elsevier
An approach to improve the geometrical representation of surfaces with the eXtended Finite Element Method is proposed. Surfaces are implicitly represented using the level set method …
T Coupez, E Hachem - Computer methods in applied mechanics and …, 2013 - Elsevier
The objective of this paper is to show that anisotropic meshes with highly stretched elements can be used to compute high Reynolds number flows. In particular, it will be shown that …
We propose a robust 2D meshing algorithm, TriWild, to generate curved triangles reproducing smooth feature curves, leading to coarse meshes designed to match the …
We present a technique to extend any Jacobian based quality measure for linear elements to high-order isoparametric planar triangles of any interpolation degree. The extended …