Elie Hachem

We present a new immersed method for solving conjugate heat transfer and ﬂuid-solid interactions (FSI). It is based on the use of Non Uniform Rational B-Splines (NURBS) to compute the distance function ans thus representing the immersed solids inside the computational domain. Combined with anisotropic mesh adaptation and stabilized Finite Elements Method (FEM), it allows a novel, efﬁcient and ﬂexible approach to deal with turbulent ﬂows and heat transfer inside large domains.

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Topology Optimization of Incompressible Flows based on anisotropic mesh adaptation using the Adjoint Level-Set Method

Zenodo (CERN European Organization for Nuclear Research) (2022)

W. Abdel Nour Delphine Laboureur Elie Hachem

Topology optimization

Level set method

10.5281/zenodo.6722080

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A new approach to solve complex valued systems arising from the solution of Maxwell equations in the frequency domain through real‐equivalent formulations

Numerical Linear Algebra with Applications (2016)

Luca Marioni José Alves Elie Hachem François Bay

Summary The purpose of this article is to propose algebraic techniques to solve symmetric complex‐valued systems. In particular, we focus on the systems which arise from the modeling of electromagnetic fields in the frequency domain. These systems usually present a very ill‐conditioned number, so specific preconditioning techniques are supposed to be used. Finally, both analytical and numerical reference tests are proposed on the simple case of the magnetic field produced by a solenoid containing conductive or non‐conducting materials.

Solenoid

Algebraic equation

10.1002/nla.2079

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Conservative and adaptive level-set method for the simulation of two-fluid flows

Computers & Fluids (2019)

Chahrazade Bahbah Mehdi Khalloufi Aurélien Larcher Youssef Mesri Thierry Coupez

Initialization

Interpolation

Slosh dynamics

Level set method

10.1016/j.compfluid.2019.06.022

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IMMERSED VOLUME METHOD WITH ANISOTROPIC MESH ADAPTATION AND TIME-STEPPING CONTROL FOR FLUID STRUCTURE INTERACTION AND HEAT TRANSFER APPLICATIONS

HAL (Le Centre pour la Communication Scientifique Directe) (2014)

Ghina Jannoun Elie Hachem Jérémy Veysset Thierry Coupez

Key words: fluid structure interactions, anisotropic mesh adaptation, time adaptation, monolothic approach, incompressible flows, heat transfer, stabilized finite element methods. Figure 1: Streamlines' distribution inside an industrial furnace and around heated ingots. This paper presents advancements toward a monolithic approach with anisotropic mesh adaptation and time-stepping control for the numerical resolution of fluid structure interaction applications with complex geometries. A stabilized finite element method [3, 4] is used to numerically solve time-dependent, three-dimensional, conjugate heat transfer and turbulent fluid flows.The proposed immersed volume method with the anisotropic mesh adaptation ensures an accurate capturing of the discontinuities at the fluid-solid interfaces and provides a homogeneous physical and thermodynamic properties for each

Control volume

Fluid–structure interaction

Classification of discontinuities

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Unified compressibleincompressible Variational MultiScale method for liquid-vapour dynamics.

HAL (Le Centre pour la Communication Scientifique Directe) (2016)

Mehdi Khalloufi Rudy Valette Elisabeth Massoni Youssef Mesri Elie Hachem

Dynamics

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