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A Variational Multi-Scale Anisotropic Mesh Adaptation Scheme for Aerothermal Problems

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Book cover Numerical Methods for Flows

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 132))

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Abstract

We propose a new mesh adaptation technique to solve the thermal problem of the impingement jet cooling. It relies on a subscales error estimator computed with bubble functions to locate and evaluate the PDE-dependent approximation error. Then, a new metric tensor \(\mathcal {H}_{aniso}^{\,\,new}\) based on the subscales error estimator is suggested for anisotropic mesh adaptation. We combine the coarse scales anisotropic interpolation error indicator with the subscales error estimator allowing us to take into account the anisotropic variations of the solution but also the sub-grid information. The results show that the resulting meshes of this parallel adaptive framework allow to capture the turbulently generated flow specificities of the impingement jet cooling and in particular, the secondary vortexes.

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Correspondence to Youssef Mesri .

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Mesri, Y., Bazile, A., Hachem, E. (2020). A Variational Multi-Scale Anisotropic Mesh Adaptation Scheme for Aerothermal Problems. In: van Brummelen, H., Corsini, A., Perotto, S., Rozza, G. (eds) Numerical Methods for Flows. Lecture Notes in Computational Science and Engineering, vol 132. Springer, Cham. https://doi.org/10.1007/978-3-030-30705-9_18

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