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Apr 21, 2022·edited Apr 21, 2022Liked by Étienne Fortier-Dubois

Bonjour. Je propose un petit cas test. Comme dit dans mon commentaire dans la newsletter de février, je suis encore bloqué par mes difficultés à écrire en anglais, cependant ce n'est pas une excuse pour ne pas faire d'efforts. Voici un paragraphe (original puis réécrit à l'aide des différentes ressources que j'ai pu trouver sur ce blog ou ailleurs) d'un papier que je souhaite soumettre très bientôt :

--Original

- In Fig.1, x and y axes represent the density force perturbation normalized by the baseline density force and the relative permeabilities, respectively. The results were obtained for $S_1=0.3$ and $B=1$ . As shown, we found a plateau for perturbations in the range $10^{-4}<\xi<10^{-1}$ . For smaller values of the perturbation, the result is affected by numerical noise, whereas for larger values the flows are no longer similar, thus the results are not representative of a given flow. The existence of such a plateau is not guaranteed and must therefore be verified for each geometry. As an outcome, a perturbation of $\xi = 10^{-3}$ was selected for the 2D geometry. We recall that a value of ξ=0.2 was used in [13].

---Modified

- The relative permeabilities do not depend on the value of the density force perturbation in the range $10^{-4}<\xi<10^{-1}$ . For smaller values, the result is affected by numerical noise, whereas for larger values, the similarity condition of the two flows is not verified (Fig.1, results obtained for $S_1=0.3$ and $B=1$ ). This interval of constant relative permeabilities may not exist for different conditions and must therefore be verified for each geometry. As mentioned before, the authors used $\xi=0.2$ in [13], but the dependence with the value of the force perturbation was not checked. Here, a perturbation $\xi=10^{-3}$ is used for the 2D geometry.

J'imagine que sans le contexte il est difficile de juger. Mais je crois (j'espère) que la nouvelle version est plus claire.

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