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2 results on '"Pascal Omnes"'

1. Optimized Schwarz Waveform Relaxation for Porous Media Applications

Author

Caroline Japhet and Pascal Omnes

Subjects
Variable (computer science), Electronic engineering, Radioactive waste, Waveform, Near and far field, Relaxation (approximation), Mechanics, Porous medium, Geology
Abstract

Far field simulations of underground nuclear waste disposal involve a number of challenges for numerical simulations: widely differing lengths and time-scales, highly variable coefficients and stringent accuracy requirements. In the site under consideration by the French Agency for NuclearWaste Management (ANDRA), the repository would be located in a highly impermeable geological layer, whereas the layers just above and below have very different physical properties (see [1]).

Published
2013
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2. On the Godunov Scheme Applied to the Variable Cross-Section Linear Wave Equation

Author

Stéphane Dellacherie and Pascal Omnes

Subjects
symbols.namesake, Cross section (physics), Mach number, Scheme (mathematics), Godunov's theorem, Mathematical analysis, symbols, Godunov's scheme, Constant (mathematics), Wave equation, Mathematics, Variable (mathematics)
Abstract

We investigate the accuracy of the Godunov scheme applied to the variable cross-section acoustic equations. Contrarily to the constant cross-section case, the accuracy issue of this scheme in the low Mach number regime appears even in the one-dimensional case; on the other hand, we show that it is possible to construct another Godunov type scheme which is accurate in the low Mach number regime.

Published
2011
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