Post-doctoral position,

Université Paris 13, France

Laboratory : LAGA (mathematics) http://www.math.univ-paris13.fr/laga/

Location: Villetaneuse (Paris), France.

Starting date: at mutual agreement, may 2010 if possible.

Title: Prototype of Schwarz waveform relaxation algorithms for reactive transport with application to geological CO2 storage.

Description:

Geological CO2 storage is one of the solutions widely studied to reduce greenhouse gas emissions and hence represents a major environmental issue.

As usual in subsurface technologies, the numerical simulator plays a keyrole in CO2 storage studies and risk assessment, the major challenge being to cope with the locality and sparsity in space and time of the data. The LAGA is part of the project SHPCO2, funded by the French research agency ANR, and involving the French institute of petroleum (IFP), which is in charge of designing and testing advanced algorithms on massively parallel architectures for geological CO2 storage. The main difficulties for these algorithms are the large range of time scales, the high nonlinearity, and the very large size of the systems. Due to the propagation of areas involving stiff kinetic reactions across the basin over time, the cost of the local geochemistry computations varies considerably in space and time, and the coupling of the multiphase compositional Darcy flow with the reactive transport is challenging.

To address these issues, we develop domain decomposition algorithms in space and time, which can efficiently treat the various space and time scales in the problem. These algorithms are in the class of optimized Schwarz Waveform relaxation algorithms, developed at the mathematics department LAGA (Paris 13) in the MEMD (multi échelles multi domains) team. The post-doctoral fellow selected will design and analyze a new Schwarz waveform relaxation algorithm for the reactive transport system, with nonconformal time steps in different subdomains. His research will be in close connection with the Applied Mathematics division at the IFP.

The potential candidate should send a detailed CV and a brief statement indicating why this project is of interest to her/him. The candidate needs to have a PhD in Applied Mathematics/Scientific Computing, and is ideally knowledgeable in both theoretical and practical aspects of domain decomposition methods.

Initial employment period is one year with a possible extension to one more year.

Please submit: cv, research summary statement, names of 2 references.

Person to contact: Laurence Halpern , Professor. halpern@math.univ-paris13.fr,

Surface mail address: LAGA, Institut Galilée, Université Paris 13,

Avenue Jean-Baptiste Clément, 93430 Villetaneuse. France.

Scientific references:

Optimized Schwarz Waveform Relaxation, http://hal.archivesouvertes.fr/hal-00111643/fr/

Simulation of CO2 geological storage, http://tel.archives-ouvertes.fr/tel-00206055/fr/