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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.01274 |
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| _version_ | 1866915044241965056 |
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| author | Dornier, Hugo Maître, Olivier P Le Congedo, Pietro M Din, Itham Salah El Marty, Julien Bourasseau, Sébastien |
| author_facet | Dornier, Hugo Maître, Olivier P Le Congedo, Pietro M Din, Itham Salah El Marty, Julien Bourasseau, Sébastien |
| contents | When numerically solving partial differential equations, for a given problem and operating condition, adaptive mesh refinement (AMR) has proven its efficiency to automatically build a discretization achieving a prescribed accuracy at low cost. However, with continuously varying operating conditions, such as those encountered in uncertainty quantification, adapting a mesh for each evaluated condition becomes complex and computationally expensive. To enable more effective error and cost control, this work introduces a novel approach to mesh adaptation. The method consists in building a unique adapted mesh that aims at minimizing the average error for a continuous set operating conditions. In the proposed implementation, this unique mesh is built iteratively, informed by an estimate of the local average error over a reduced set of sample conditions. The effectiveness and performance of the method are demonstrated on a one-dimensional Burgers equation and a two-dimensional Euler scramjet shocked flow configurations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01274 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mean Mesh Adaptation for Efficient CFD Simulations with Operating Conditions Variability Dornier, Hugo Maître, Olivier P Le Congedo, Pietro M Din, Itham Salah El Marty, Julien Bourasseau, Sébastien Fluid Dynamics Computational Physics When numerically solving partial differential equations, for a given problem and operating condition, adaptive mesh refinement (AMR) has proven its efficiency to automatically build a discretization achieving a prescribed accuracy at low cost. However, with continuously varying operating conditions, such as those encountered in uncertainty quantification, adapting a mesh for each evaluated condition becomes complex and computationally expensive. To enable more effective error and cost control, this work introduces a novel approach to mesh adaptation. The method consists in building a unique adapted mesh that aims at minimizing the average error for a continuous set operating conditions. In the proposed implementation, this unique mesh is built iteratively, informed by an estimate of the local average error over a reduced set of sample conditions. The effectiveness and performance of the method are demonstrated on a one-dimensional Burgers equation and a two-dimensional Euler scramjet shocked flow configurations. |
| title | Mean Mesh Adaptation for Efficient CFD Simulations with Operating Conditions Variability |
| topic | Fluid Dynamics Computational Physics |
| url | https://arxiv.org/abs/2412.01274 |