
Christophe Prud'hommeUniversity of Strasbourg | UNISTRA · Institut de Recherche Mathématique Avancée
Christophe Prud'homme
Professor
About
146
Publications
13,521
Reads
How we measure 'reads'
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
2,674
Citations
Introduction
Additional affiliations
September 2012 - present
September 2006 - August 2012
Position
- Professor (Full)
Publications
Publications (146)
The current document is the update of the Data Management Plan of the HiDALGO2 project (HiDALGO2 DMP), which was issued as the deliverable D1.5 of the project.
In the current document, first the methodology is revised. We added some attributes to the dataset description tables that better describe metadata information, storage, data sharing and se...
This deliverable, D2.5, is the second one of the series of documents (D2.4, D2.5, D2.6) on “Infrastructure Provisioning, Workflow Orchestration and, Component Integration” that reports on the updates, since the first document of the series, D2.4, on different topics reported therein:
· The holistic HiDALGO2 platform of computing and services integr...
HiDALGO2 focuses on the development of high-fidelity simulations to address critical global challenges. This document builds on the foundations of D5.3 [1] by highlighting the research advances achieved within the HiDALGO2 project between M11 and M23 across the five pilot applications: Urban Air Project (UAP), Urban Buildings (UB), Renewable Energy...
Ensemble runs involve executing multiple simulations or models either in parallel or sequentially, often with varying input data, initial conditions, or model parameters. These ensemble scenarios can be categorized in two main ways:
- Parallel Independent Runs (Type 1): Executing several instances of the same model or simulation simultaneously, but...
Heat transfer in the human eyeball, a complex organ, is significantly influenced by various pathophysiological and external parameters. Particularly, heat transfer critically affects fluid behavior within the eye and ocular drug delivery processes. Overcoming the challenges of experimental analysis, this study introduces a comprehensive three‐dimen...
Swimming involves a body's capability to navigate through a fluid by undergoing self-deformations. Typically, fluid dynamics are described by the Navier-Stokes equations, and when integrated with a swimming body, it results in a highly intricate model. This paper introduces a computational framework for simulating the movement of multiple swimmers...
Simulations have become a prevalent method in the scientific community for researching climate, environmental, and social phenomena. These simulations aid in understanding how various elements such as air, pollution, smoke, and heat disperse in complex spatial environments. Computational Fluid Dynamics (CFD) is a widely used application for conduct...
This deliverable provides an overview of the components, that make up the core foundation of the HiDALGO2 ecosystem and support the project’s use cases in achieving their scientific, technical and environmental goals. It builds upon the work of previous deliverables in HiDALGO2, as well as of D2.1, “Requirements Analysis and Scenario Definition”. I...
As part of the HiDALGO2 project, D5.6 marks a critical milestone in our pursuit of harnessing High-Performance Computing (HPC) to address global challenges through our pilot applications. This deliverable documents the initial outcomes of our pilot implementations, setting a foundation for subsequent advancements and integration strategies. Coverin...
The building sector in the European Union significantly impacts energy consumption and greenhouse gas emissions. The EU's Horizon 2050 initiative sets ambitious goals to reduce these impacts through enhanced building renovation rates. The CoE HiDALGO2 supports this initiative by developing high-performance computing solutions, specifically through...
This deliverable documents the initial outcomes of synergies and coupling scenarios identified between the pilots, extending the capabilities of HiDALGO2 use cases.
The discussion started initially with the work in deliverables D4.1 and D5.3. Covering the period up to Month 18, D5.1 encapsulates the progress made in enhancing the capabilities and i...
The main objective of the HiDALGO2 project is to explore, develop, and implement methods and techniques that utilize exascale HPC resources to address current environmental challenges such as air pollution, the use of renewable energy, sustainable building practices, and the prevention and mitigation of wildfire effects
amongst others. The physical...
The training initiatives within HiDALGO2 are designed to address and bridge competence gaps between High-Performance Computing (HPC) experts and scientists working on Global Challenges within the current offerings of our collaborating partners. HiDALGO2’s primary objective is to address the skills gap and better support Global Challenges scientists...
A report that defines the benchmarking methodology that will be followed within the
HiDALGO2 project and presents the initial findings of the benchmarking of the HiDALGO2 pilots on various EuroHPC JU systems.
Achieving HiDALGO2’s objectives requires the use of advanced environmental simulation systems to estimate and predict the evolution of the different pilots defined in the project.
Due to the complexity of these systems, it is necessary to use HPC resources (such as the EuroHPC supercomputers) to enhance simulation performance. Additionally, employi...
In pursuit of addressing global challenges and to provide stakeholders and decision makers tools that allow to mitigate tragic consequences, HiDALGO2 has embarked on a mission to integrate, implement, and optimize selected environmental use cases using advanced simulation systems. These endeavours, owing to their intricacy, require the utilization...
We present our continuous efforts from a modeling and numerical viewpoint to develop a powerful and flexible mathematical and computational framework called Ocular Mathematical Virtual Simulator (OMVS). The OMVS aims to solve problems arising in biomechanics and hemodynamics within the human eye. We discuss our contribution towards improving the re...
This document is the deliverable D1.5 “Data Management Plan” of the HiDALGO2 project. The document describes the methodology and the initial status of the processes for data management in the project. The data management plan, based on the HiDALGO2 Grant Agreement, implements the official recommendation by the European Commission for data managemen...
In this paper, we address the study of elliptic boundary value problems in presence of a boundary condition of integral type (IBC) where the potential is an unknown constant and the flux (the integral of the flux density) over a portion of the boundary is given by a value or a coupling condition. We first motivate our work with realistic examples f...
We study the swimming strategies that maximize the speed of the 3-spheres swimmer using reinforcement learning methods. First of all, we ensure that for a simple model with few actions, the Q-learning method converges. However, tabular methods like the previous one are not suitable for generalization to more complex environments where states or act...
Presentation in the workshop Challenges and progress in computational science and engineering: from industry 4.0 to sustainable development
We propose a numerical method for the finite element simulation of micro-swimmers composed of several rigid bodies moving relatively to each other. Three distinct formulations are proposed to impose the relative velocities between the rigid bodies. We validate our model on the three-sphere swimmer, for which analytical results are available.
We propose an uncertainty propagation study and a sensitivity analysis with the Ocular Mathematical Virtual Simulator, a computational and mathematical model that predicts the hemodynamics and biomechanics within the human eye. In this contribution, we focus on the effect of intraocular pressure, retrolaminar tissue pressure and systemic blood pres...
In this paper we are interested in optimizing the shape of multi-flagellated helical microswimmers. Mimicking the propagation of helical waves along the flagella, they self-propel by rotating their tails. The swimmer's dynamics is computed using the Boundary Element Method, implemented in the open source Matlab library $Gypsilab$. We exploit a Baye...
We propose an uncertainty propagation study and a sensitivity analysis with the Ocular Mathematical Virtual Simulator, a computational and mathematical model that predicts the hemodynamics and biomechanics within the human eye. In this contribution, we focus on the effect of intraocular pressure, retrolaminar tissue pressure and systemic blood pres...
The main objective of our task is to develop mathematical models, numerical techniques to analyse the thermal effects in electric machines, to implement the developed algorithm in multiprocessor or multi-core environments and to apply them to industrial use cases. In this study, we take into account coupled character of the electromagnetic and ther...
Glaucoma is a multifactorial neurodegenerative disease that involves the optic nerve head and the death of the retinal ganglion cells. The main challenge in medicine is to understand the origin of this degeneration. In this paper we present a virtual clinical study employing the Ocular Mathematical Virtual Simulator (OMVS), a mathematical model, wh...
We address the swimming problem at low Reynolds number. This regime, which is typically used for micro-swimmers, is described by Stokes equations. We couple a PDE solver of Stokes equations, derived from the Feel++ finite elements library, to a quaternion-based rigid-body solver. We validate our numerical results both on a 2D exact solution and on a...
We address the swimming problem at low Reynolds number. This regime, which is typically used for micro-swimmers, is described by Stokes equations. We couple a PDE solver of Stokes equations, derived from the Feel++ finite elements library, to a quaternion-based rigid-body solver. We validate our numerical results both on a 2D exact solution and on...
The aim of this study is to present a thermal analysis of a permanent magnet synchronous machine based on the finite element method. The developed model can be used to predict temperature distribution inside the studied motor during the rated operation. Electromagnetic computation (EM) is carried out with the aid of two 2D finite‐element (FE) simul...
This work aims at investigating the interactions between the flow of fluids in the eyes and the brain and their potential implications in structural and functional changes in the eyes of astronauts, a condition also known as spaceflight associated neuro-ocular syndrome (SANS). To this end, we propose a reduced (0-dimensional) mathematical model of...
Notre Revue des nouveaux usages 2019 envisagera les conséquences bénéfiques de l’agriculture connectée pour les agriculteurs. Si elle s’accompagne de la mue espérée du monde agricole, l’agriculture connectée pourra demain favoriser une meilleure inclusion des agriculteurs dans la Cité et au sein des chaînes de valeur en produisant de manière plus s...
This work aims at investigating the interactions between the flow of fluids in the eyes and the brain and their potential implications in the development of visual impairment in astronauts, a condition also known as spaceflight associated neuro-ocular syndrome (SANS). To this end, we propose a reduced (0-dimensional) mathematical model of fluid flo...
In this paper, we present a comprehensive framework for the simulation of Multifluid flows based on the implicit level-set representation of interfaces and on an efficient solving strategy of the Navier-Stokes equations. The mathematical framework relies on a modular coupling approach between the level-set advection and the fluid equations. The spa...
This poster presents future developments aiming to tightly integrate Modelling toolchain (with the current Monitoring and Control System and Magnet database. The goal is to provide a transversal tool to have better insights on Magnet from their design to their operating lifetime. This work would be based on the MSO4SC portal.
The aim of this work is to provide a quantitative description of how geometrical and material properties of ocular tissues and fluids influence intraocular pressure (IOP).
This contribution presents an ongoing work to implement a patient-specific mathematical virtual simulator for the eye. The aim is to create a multiscale and multiphysics model for the description of ocular biomechanics, fluid dynamics, and hemodynamics. This instrument may serve to illustrate and estimate some clinically relevant parameters, as wel...
This work aims at investigating the interactions between the flow of fluids in the brain and eyes, and their potential implications in the development of visual impairment and intracranial pressure (VIIP) syndrome in astronauts. We propose a reduced (0-D) mathematical model of fluid circulation in the eyes and brain, which is embedded into a simpli...
Metastatic seeding is driven by cell-intrinsic and environmental cues, yet the contribution of biomechanics is poorly known. We aim to elucidate the impact of blood flow on the arrest and the extravasation of circulating tumor cells (CTCs) in vivo. Using the zebrafish embryo, we show that arrest of CTCs occurs in vessels with favorable flow profile...
Metastatic seeding is driven by cell-intrinsic and environmental cues, yet the contribution of biomechanics is poorly known. We aim to elucidate the impact of blood flow on the arrest and the extravasation of circulating tumor cells (CTCs) in vivo. Using the zebrafish embryo, we show that arrest of CTCs occurs in vessels with favorable flow profile...
Metastatic seeding is driven by cell-intrinsic and environmental cues, yet the contribution of biomechanics is poorly known. We aim to elucidate the impact of blood flow on the arrest and the extravasation of circulating tumor cells (CTCs) in vivo . Using the zebrafish embryo, we show that arrest of CTCs occurs in vessels with favorable flow profil...
This paper focuses on the reduced basis method in the case of nonlinear and non-affinely parametrized partial differential equations where affine decomposition is not obtained. In this context, Empirical Interpolation Method (EIM) (Barrault et al. C R Acad Sci Paris Ser I 339(9):667-672, 2004) is commonly used to recover the affine decomposition ne...
Experimental Setups 3D Hall probe (limited to 3 T) On Magnet Site Low Field TestBench 150 A P.S.
Pressure driven flows typically occur in hydraulic networks, e.g. oil ducts, water supply, biological flows, microfluidic channels etc. However, Stokes and Navier–Stokes problems are most often studied in a framework where Dirichlet type boundary conditions on the velocity field are imposed, thanks to the simpler settings from the theoretical and n...
Purpose: The aim of the proposed analysis is to provide both a qualitative description and a quantitative assessment of how variations in aqueous humor (AH) flow parameters influence intraocular pressure (IOP) and the outcome of IOP-lowering medications.Methods: We developed a mathematical model that describes the steady-state value of IOP as the r...
In this paper, we propose a mathematical model to describe the functioning of
a bioreactor landfill, that is a waste management facility in which
biodegradable waste is used to generate methane. The simulation of a bioreactor
landfill is a very complex multiphysics problem in which bacteria catalyze a
chemical reaction that starting from organic ca...
We propose to couple the Exner equation with the Stokes equations to model the bedload sediment in geophysical flows . This work is a preliminary study to directly model the hydrodynamic flow by the unsteady Stokes equation instead of the classical shallow water equation. We focus in this proceeding on the coupling applying fluid structure interact...
Angiographic imaging is a crucial domain of medical imaging. In particular, Magnetic Resonance Angiography (MRA) is used for both clinical and research purposes. This article presents the first framework geared toward the design of virtual MRA images from real MRA images. It relies on a pipeline that involves image processing, vascular modeling, co...
The Laboratoire National des Champs Magnetiques Intenses (LNCMI) is a French large scale facility enabling researchers to perform experiments in the highest possible magnetic field. DC magnetic fields up to 36 T are provided at the Grenoble site and pulsed fields up to 80 T at Toulouse. The technology used for DC magnets relies on the so-called pol...
High field Resistive magnets for static field developed at the Laboratoire National des Champs Magnétiques Intenses (LNCMI) are based on the so-called polyhelix technique. Their design relies on non-linear 3D multi-physic models. As the user demands for higher magnetic field or specific field profile are growing we have to revisit our numerical mod...
This is a brochure on AngioTK presented at Inria Industry Meeting on Health in Bordeaux
From medical im ages to numerical simulations ANGIOTK The platform is still a prototype, but reached a level of maturity that requires very little human intervention. The overall objective is to make available, to the medical community, tools for computer aided modeling for conducting experiments in silico, otherwise difficult or impossible to carr...
We build and analyze a substructuring preconditioner for the mortar method in the h-p finite element framework. Particular attention is given to the construction of the coarse component of the preconditioner in this framework, in which continuity at the cross points is not required. Two variants are proposed: the first one is an improved version of...
In this paper, we focus on the reduced basis methodology in the context of
non-linear non-affinely parametrized partial differential equations in which
affine decomposition necessary for the reduced basis methodology are not
obtained [4, 3]. To deal with this issue, it is now standard to apply the EIM
methodology [8, 9] before deploying the Reduced...
Blood flow computations in complex geometries are of major interest in various cardio-vascular applications. However, deriving an appropriate computational model is still an open issue and a central question is how to incorporate and quantify uncertainties due to different modeling
assumptions. The present work is intended as a first step in this d...
Numerical models applied to real-life engineering processes have many input parameters that are not always known with a sufficient degree of certainty. Moreover, models are characterized by their mathematical complexity and time-consuming calculations. In this context, our certified reduced basis (crb) model is developed taking into account the inp...
We present an open-source framework for the reduced basis methods
implemented in the library Feel++ [3,4] and we consider in particular
multi-physics, possibly non-linear, applications [1,2] which require
high performance computing. We present how the mathematical
methodology and technology scale with respect to complexity and the
gain obtained in...
Le champ magnétique agit sur la matière, permettant ainsi de la sonder et de déterminer ses propriétés. C'est pourquoi de nombreuses expériences scientifiques utilisent les champs magnétiques, dans des domaines très variés parmi lesquels la physique du solide, la (bio)chimie ou encore la caractérisation et/ou l'élaboration de nouveaux matériaux. Le...
This paper presents our ongoing work on building a versatile domain de-
composition methods framework in F EEL++ that provides expressivity (e.g. close-
ness to the mathematical language) and efficiency. We display in particular the capa-
bilities of F EEL++ regarding Schwarz (non)overlapping and mortar methods. Some
numerical tests and code snippe...
We present applications of the reduced basis method (RBM) to large-scale non-linear multi-physics problems connected to real industrial applications arising from the High Field Resistive Magnets development at the Laboratoire National des Champs Magnétiques Intenses.
Domain decomposition methods are, alongside multigrid methods, one of the dominant paradigms in contemporary large-scale partial differential equation simulation. In this paper, a lightweight implementation of a theoretically and numerically scalable preconditioner is presented in the context of overlapping methods. The performance of this work is...
Accuracy is critical if we are to trust the simulation's predictions. In settings such as fluid-structure interaction it is all the more important to obtain reliable results to understand, for example, the impact of pathologies on blood flows in the cardiovascular system. In [1] we have proposed a framework for high order (in space and time) fluid...
Domain decomposition methods are, alongside multigrid methods, one of the dominant paradigms in contemporary large-scale partial differential equation simulation. In this paper, a lightweight implementation of a theoretically and numerically scalable preconditioner is presented in the context of overlapping methods. The performance of this work is...