Author: Vicente Mataix Ferrándiz
Kratos version: 7.1
Source files: Hessian 2D
In this test case,
The following applications of Kratos are used:
- MeshingApplication with the MMG module
The problem corresponds with the example proposed in reference. The objective is to remesh the following structured mesh of a domain 1x1:
Where the size of the elements is very small and the distribution of the elements is not the optimal to represent the following test function:
The challenge consists in using the Hessian function of the test function as error measure and adapt the mesh in a proper manner.
The results obtained after remeshing can be see in the following figures:
The color map of the test function:
The variation of the element size:
Frédéric Alauzet. Metric-Based Anisotropic Mesh Adaptation. Course material, CEA-EDF-INRIA Schools. Numerical Analysis Summer School. https://www.rocq.inria.fr/gamma/Frederic.Alauzet/cours/cirm.pdf
Pascal Tremblay 2-D, 3-D and 4-D Anisotropic Mesh Adaptation for the Time-Continuous Space-Time Finite Element Method with Applications to the Incompressible Navier-Stokes Equations. PhD thesis Ottawa-Carleton Institute for Mechanical and Aerospace Engineering, Department of Mechanical Engineering, University of Ottawa. 2007. http://aix1.uottawa.ca/~ybourg/thesis/PhDThesis_Pascal_Tremblay_Final.pdf