I currently hold a Postdoctoral Researcher Associate position in the T-3 group at the Los Alamos National Laboratory under the supervision of Marianne Francois. My project is focused on multi-material Eulerian Finite Volume methods with sharp interface representation in a fully unsplit multi-dimensional framework and aims at both improving existing methods by analysing their mathematical weaknesses and developing new more accurate and efficient algorithms.
- All applications and extensions of the MOOD philosophy.
- Very High-Order Eulerian numerical schemes for multi-material hydrodynamics.
- Higher-order Lagrangian/ALE numerical schemes for multi-material hydrodynamics.
- Very High-Order Eulerian Finite Volume numerical schemes for all types of problems.
You can download my resume here.
I am a Ph.D. in Applied Mathematics from the University of Toulouse, France (UPS) at the Institut de Mathématiques de Toulouse (IMT). During my Ph.D. under the supervision of Stéphane Clain and Raphaël Loubère. I designed and developed the first a posteriori approach to Very-High-Order Finite Volume method for the hydrodynamics Euler equations. It has led to the Multidimensional Optimal Order Detection (MOOD) method that has been published in three international journals (see Publications) and is still under active development and extension.
Description: We modify the classical Noh problem on the square [-1.5;1.5]2 only by setting null velocity in the lower half-plane while still considering the classical inflow boundary conditions everywhere. This slight modification generates very complex and interesting structures when shock waves interact. The animation is the evolution in time of the density solution computed by the 4th-order MOOD method.