The objective of this PhD is to develop adaptive techniques compatible with high order boundary approximations. The aim is to be able to efficiently reduce the error associated to the approximation of the boundary conditions, via some reliable technique to obtain curvilinear meshes, and with some efficient numerical integration of the boundary conditions, while still being able to exploit metric based h-adaptive methods. The primary objective is the improvement of simulations of flows around curved shapes, allowing to obtain optimal accuracy, while minimizing the associated computational cost. To do this, this project will pursue the following scientific objectives :
- Develop a robust method to generate high order (at least quadratic) surface meshes as well as high quality volume meshes conformal with the curved surface mesh
- Propose some metric based h-adaptation method compatible with the above curved mesh generation processes
- Assess and extend existing boundary integration methodologies in CODA. We will evaluate hybrid approaches in which correction terms to a Pk solution are included to account for geometrical errors on a Pm mesh. The objective is to seek the combination of degrees k and m providing the lowest error at a given cost
- Verification and validation of the above techniques on state of the art benchmarks, as e.g. those proposed within the International Workshops on High Order CFD Methods (HiOCFD)
More information and contact:
https://recrutement.inria.fr/public/classic/fr/offres/2025-09618
https://ag.wd3.myworkdayjobs.com/en-US/Airbus/job/Toulouse-Area/CIFRE-PhD-Thesis---Automatic-curvilinear-mesh-generation-for-aircraft-design--M-F-_JR10370971?
