FLICA-OVAP: A new platform for core thermal–hydraulic studies

Fillion, Philippe; Chanoine, Augustin; Dellacherie, Stéphane; Kumbaro, Anela

doi:10.1016/j.nucengdes.2011.04.048

Cited by 51 publications

(47 citation statements)

References 24 publications

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“…For higher Mach numbers LMRoe approaches the original Roe scheme. Note that this low Mach correction was introduced independently by Fillion et al in [23] by blending a zero-Mach Godunov-type scheme with its classical high-speed variant.…”

Section: The Fixmentioning

confidence: 99%

“…At the same time, the artificial viscosity is tuned correctly for all characteristic waves and thus the accuracy number flows. To overcome this restriction Fillion et al [23] introduced in 2009 a blending of pressure centering and upwinded pressure. Interestingly, with the special choice of their blending weight f ðMaÞ ¼ minð1; Ma local Þ; the approach is identical to the one presented here.…”

Section: Introductionmentioning

confidence: 99%

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A low-Mach number fix for Roe’s approximate Riemann solver

Rieper

2011

Journal of Computational Physics

161

176

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Section: The Fixmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A low-Mach number fix for Roe’s approximate Riemann solver

Rieper

2011

Journal of Computational Physics

161

176

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“…We underline that C 3 does not depend on M and we recall that P α is the orthogonal projection on E α defined by (8).…”

Section: Definition Of An Accurate Scheme At Low Mach Numbermentioning

confidence: 99%

“…A low Mach correction is proposed in [2] that is justified from a theoretical point of view in the linear case. In [8,17], an all Mach correction is proposed that allows to obtain an accurate scheme at low Mach number and that exactly matches the Godunov scheme when the Mach number is greater than one. In [5], this all Mach correction is justified from a theoretical point of view in the linear case.…”

Section: Introductionmentioning

confidence: 99%

Preliminary results for the study of the godunov scheme applied to the linear wave equation with porosity at low mach number

Dellacherie

Jung

2015

ESAIM: Proc.

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Abstract. We introduce continuous tools to study the low Mach number behavior of the Godunov scheme applied to the linear wave equation with porosity on cartesian meshes. More precisely, we extend the Hodge decomposition to a weighted L 2 space in the continuous case and we study the properties of the modified equation associated to this Godunov scheme. This allows to partly explain the inaccuracy of the Godunov scheme at low Mach number on cartesian meshes and to propose two corrections: a first one named low Mach and a second one named all Mach. These results are preliminary since it remains to prove them in the discrete case. Résumé. Nous introduisons des outils au niveau continu pourétudier le comportement du schéma deGodunovà bas nombre de Mach appliquéà l'équation des ondes avec porosité sur maillage cartésien. Plus précisément, nousétendons la décomposition de Hodgeà un espace L 2 avec poids et nousétudions les propriétés de l'équation modifiée associée au schéma de Godunov. Cela permet de partiellement expliquer la perte de précision du schéma de Godunovà bas nombre de Mach sur maillage cartésien et de proposer deux corrections: une première dite bas Mach et une seconde dite tout Mach. Ces résultats sont préliminaires puisqu'il resteà lesétendre au niveau discret.

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“…That is why some calculations stopped before others executed with different codes. These RAM problems were solved in the successor of FLICA4, called FLICA-OVAP, (Fillion et al, 2011).…”

Section: Transient Calculation For Slug 1 (18 M 3 )mentioning

confidence: 99%