Author: Vicente Mataix Ferrándiz
Kratos version: 5.2
Source files: Embedded sphere 2D
In this test case,
The following applications of Kratos are used:
- FluidDynamicsApplication with the MMG module
- MeshingApplication with the MMG module
Adaptative anisotropic remeshing of 2D fluid channel with sphere using as level set the distance function. The problem is solved using an embedded formulation. It consists in a channel 5x1, a sphere of 0.3 m diameter and with a velocity of 1 m/s in the inlet an zero pressure in the outlet. The total time of simulation is 10s with a time step of 0.1s.
The remeshing is before start the simulation, where we start with a very refined mesh of 40000 nodes and it is simplified to a mesh of just 2500 nodes, centered around the sphere of interest.
The mesh corresponding before remeshing corresponds with:
The mesh corresponding after remesh:
The results obtained corresponds with the following:
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