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63 results on '"Jaffré, Jerome"'

1. The DFLU flux for systems of conservation laws

Author

Adimurthi, Adi, Gowda, G. D. Veerappa, and Jaffré, Jérôme

Subjects
Computer Science - Numerical Analysis
Abstract

The DFLU numerical flux was introduced in order to solve hyperbolic scalar conservation laws with a flux function discontinuous in space. We show how this flux can be used to solve certain class of systems of conservation laws such as systems modeling polymer flooding in oil reservoir engineering. Furthermore, these results are extended to the case where the flux function is discontinuous in the space variable. Such a situation arises for example while dealing with oil reservoirs which are heterogeneous. Numerical experiments are presented to illustrate the efficiency of this new scheme compared to other standard schemes like upstream mobility, Lax-Friedrichs and Force schemes., Comment: This paper is published in the Journal of Computational and Applied Mathematics 247 (2013) 102-123. arXiv admin note: substantial text overlap with arXiv:0908.0320

Published
2013

2. Space-Time Domain Decomposition Methods for Diffusion Problems in Mixed Formulations

Author

Hoang, Thi Thao Phuong, Jaffré, Jérôme, Japhet, Caroline, Kern, Michel, and Roberts, Jean

Subjects
Mathematics - Numerical Analysis
Abstract

This paper is concerned with global-in-time, nonoverlapping domain decomposition methods for the mixed formulation of the diffusion problem. Two approaches are considered: one uses the time-dependent Steklov-Poincar\'e operator and the other uses Optimized Schwarz Waveform Relaxation (OSWR) based on Robin transmission conditions. For each method, a mixed formulation of an interface problem on the space-time interfaces between subdomains is derived, and different time grids are employed to adapt to different time scales in the subdomains. Demonstrations of the well-posedness of the subdomain problems involved in each method and a convergence proof of the OSWR algorithm are given for the mixed formulation. Numerical results for 2D problems with strong heterogeneities are presented to illustrate the performance of the two methods.

Published
2013

3. Gas phase appearance and disappearance as a problem with complementarity constraints

Author

Gharbia, Ibtihel Ben and Jaffré, Jérôme

Subjects
Mathematics - Analysis of PDEs, Mathematics - Numerical Analysis, Physics - Geophysics
Abstract

The modeling of migration of hydrogen produced by the corrosion of the nuclear waste packages in an underground storage including the dissolution of hydrogen involves a set of nonlinear partial differential equations with nonlinear complementarity constraints. This article shows how to apply a modern and efficient solution strategy, the Newton-min method, to this geoscience problem and investigates its applicability and efficiency. In particular, numerical experiments show that the Newton-min method is quadratically convergent for this problem., Comment: Accepted for Publication in Mathematics and Computers in Simulation. Available online 6 August 2013, Mathematics and Computers in Simulation (2013)

Published
2011

4. Applications of the DFLU flux to systems of conservation laws

Author

Adimurthi, Adimurthi, Gowda, G. D. Veerappa, and Jaffré, Jérôme

Subjects
Computer Science - Numerical Analysis, Mathematics - Analysis of PDEs, Mathematics - Numerical Analysis
Abstract

The DFLU numerical flux was introduced in order to solve hyperbolic scalar conservation laws with a flux function discontinuous in space. We show how this flux can be used to solve systems of conservation laws. The obtained numerical flux is very close to a Godunov flux. As an example we consider a system modeling polymer flooding in oil reservoir engineering.

Published
2009
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5. Estimating nonlinearities in twophase flow in porous media

Author

Zhang, Jianfeng, Chavent, Guy, and Jaffré, Jérôme

Subjects
Computer Science - Numerical Analysis, Mathematics - Analysis of PDEs, Physics - Classical Physics
Abstract

In order to analyze numerically inverse problems several techniques based on linear and nonlinear stability analysis are presented. These techniques are illustrated on the problem of estimating mobilities and capillary pressure in one-dimensional two-phase displacements in porous media that are performed in laboratories. This is an example of the problem of estimating nonlinear coefficients in a system of nonlinear partial differential equations.

Published
2009

6. Henry's law and gas phase disappearance

Author

Jaffré, Jérôme and Sboui, Amel

Subjects
Physics - Chemical Physics, Physics - Classical Physics
Abstract

For a two-phase (liquid-gas) two-component (water-hydrogen) system in porous media we discuss the formulation of the possible dissolution of hydrogen in the liquid phase. We show how Henry's law fits in a phase diagram. Then the problem is formulated as a set of nonlinear partial differential equations with complementarity constraints.

Published
2009
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7. On the upstream mobility scheme for two-phase flow in porous media

Author

Mishra, Siddhartha and Jaffré, Jérôme

Subjects
Computer Science - Numerical Analysis, Mathematics - Analysis of PDEs, Mathematics - Numerical Analysis, Physics - Classical Physics
Abstract

When neglecting capillarity, two-phase incompressible flow in porous media is modelled as a scalar nonlinear hyperbolic conservation law. A change in the rock type results in a change of the flux function. Discretizing in one-dimensional with a finite volume method, we investigate two numerical fluxes, an extension of the Godunov flux and the upstream mobility flux, the latter being widely used in hydrogeology and petroleum engineering. Then, in the case of a changing rock type, one can give examples when the upstream mobility flux does not give the right answer., Comment: A preprint to be published in Computational Geosciences

Published
2009
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10. Space–Time Domain Decomposition for Mixed Formulations of Diffusion Equations

Author

Hoang, Thi-Thao-Phuong, Jaffré, Jérôme, Japhet, Caroline, Kern, Michel, Roberts, Jean, Barth, Timothy J., Series editor, Griebel, Michael, Series editor, Keyes, David E., Series editor, Nieminen, Risto M., Series editor, Roose, Dirk, Series editor, Schlick, Tamar, Series editor, Erhel, Jocelyne, editor, Gander, Martin J., editor, Halpern, Laurence, editor, Pichot, Géraldine, editor, Sassi, Taoufik, editor, and Widlund, Olof, editor

Published
2014
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13. Domain Decomposition for Some Transmission Problems in Flow in Porous Media

Author

Alboin, Clarisse, Jaffré, Jérôme, Roberts, Jean E., Wang, Xuewen, Serres, Christophe, Beig, R., editor, Ehlers, J., editor, Frisch, U., editor, Hepp, K., editor, Hillebrandt, W., editor, Imboden, D., editor, Jaffe, R. L., editor, Kippenhahn, R., editor, Lipowsky, R., editor, Löhneysen, H. v., editor, Ojima, I., editor, Weidenmüller, H. A., editor, Wess, J., editor, Zittartz, J., editor, Chen, Zhangxin, editor, Ewing, Richard E., editor, and Shi, Zhong-Ci, editor

Published
2000
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24. GODUNOV-TYPE METHODS FOR CONSERVATION LAWS WITH A FLUX FUNCTION DISCONTINUOUS IN SPACE.

Author

Adimurthi, Jaffré, Jerome, and Gowda, G. D. Veerappa

Subjects
*SPACETIME, *CONSERVATION laws (Mathematics), *HYPERBOLIC differential equations, *EXISTENCE theorems, *NUMERICAL analysis
Abstract

Scalar conservation laws with a flux function discontinuous in space are approximated using a Godunov-type method for which a convergence theorem is proved. The case where the flux functions at the interface intersect is emphasized. A very simple formula is given for the interface flux. A numerical comparison between the Godunov numerical flux and the upstream mobility flux is presented for two-phase flow in porous media. A consequence of the convergence theorem is an existence theorem for the solution of the scalar conservation laws under consideration. Furthermore, for regular solutions, uniqueness has been shown. [ABSTRACT FROM AUTHOR]

Published
2004
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26. On projective plane curve evolution

Author

Faugeras, Olivier, Keriven, Renaud, Thoma, M., editor, Berger, Marie-Odile, editor, Deriche, Rachid, editor, Herlin, Isabelle, editor, Jaffré, Jérome, editor, and Morel, Jean-Michel, editor

Published
1996
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30. 3D active contours

Author

Caselles, V., Kimmel, R., Sapiro, G., Sbert, C., Thoma, M., editor, Berger, Marie-Odile, editor, Deriche, Rachid, editor, Herlin, Isabelle, editor, Jaffré, Jérome, editor, and Morel, Jean-Michel, editor

Published
1996
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32. A Kanizsa programme

Author

Caselles, V., Coll, B., Morel, J. M., Thoma, M., editor, Berger, Marie-Odile, editor, Deriche, Rachid, editor, Herlin, Isabelle, editor, Jaffré, Jérome, editor, and Morel, Jean-Michel, editor

Published
1996
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45. Coiflets for range image segmentation

Author

Djebali, M., Melkemi, K., Melkemi, M., Vandorpe, D., Thoma, M., editor, Berger, Marie-Odile, editor, Deriche, Rachid, editor, Herlin, Isabelle, editor, Jaffré, Jérome, editor, and Morel, Jean-Michel, editor

Published
1996
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50. Affine invariant gradient flows

Author

Olver, Peter J., Sapiro, Guillermo, Tannenbaum, Allen, Thoma, M., editor, Berger, Marie-Odile, editor, Deriche, Rachid, editor, Herlin, Isabelle, editor, Jaffré, Jérome, editor, and Morel, Jean-Michel, editor

Published
1996
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