This work is motivated by the growing interest in the simulation of yield stress fluids for
civil engineering materials, blood, foams, etc. To this aim, we propose a hybrid discontinuous method the for the Bingham model, inspired by the Hybrid-High
Order method introduced in
(Di Pietro & Ern 2015)
for linear elasticity. The main
advantages are local conservativity and the possibility to use general meshes. In comparison to Finite Element
Methods, a crucial advantage is that polytopal meshes are supported. We exploit their use in performing local mesh adaptation, either locally refining around liquid-solid interfaces or coarsening in the solid
M.S. Mechanical Engineering, Universidad Nacional de Colombia, Colombia (Nov 2014).
Dissertation: Use of the local discontinuous Galerkin method with temporal integration by the ExGA method.
Advisor: Diego Alexander Garzón.
Hybrid discretization methods with adaptive yield surface detection for Bingham pipe flows [hal] K. Cascavita, J. Bleyer, X. Chateau, A. Ern.
Paper in review in Journal of Scientific Computing
A local discontinuous Galerkin method using an Explicit Green approach(ExGA) for the linear heat equation. K. Cascavita, D.A. Garzón.
Paper in preparation
Numerical solution of the incompressible Navier-Stokes equations with finite volume method (in Spanish). [Scielo] K. Cascavita, J.E. Jaramillo, F. Fonseca.
Rev. Ion. 2013, vol. 26, n.2, pp.17-29.
89th International Association of Applied Mathematics and Mechanics Annual meeting (GAMM), Munich (Germany), 03/2018. [PDF]
16th European Finite Element Fair (EFEF), Heidelberg (Germany), 06/2018.
6th European conference on Computational Mechanics (ECCM), Glasgow (UK), 06/2018
13th World Congress in Computational Mechanics (WCCM), New York (USA), 07/2018
Poster contribution, Labex MMCD Atelier Bilan et Perspectives, Champs sur Marne (France), 09/2016. [PDF]
Young Researchers Seminar, Champs sur Marne (France), 03/2017.