Guillaume PUIGT, Valentin GOLLIET, Frédéric ALAUZET

DOI Number: N/A

Conference number: HiSST-2025-029

Mesh adaptation consists of optimizing the mesh to decrease the discretization error under the constraints that the number of degrees of freedom of the computations is kept constant. To do so, an error estimate is first computed, associated with the notion of local metrics. It is then transferred to the metric-based remesher, and once the new mesh is obtained, the initial solution is the interpolated one of the previous mesh. In addition, the final solution is the best one for a given number of degrees of freedom (or computational cost). Then, multiplying by 2 the required degrees of freedom and starting again the computational loop enables the verification of mesh convergence. In this context, the present
paper is dedicated to using and modifying the computational chain of mesh adaptation for hypersonic flows. Our goal is to focus attention on the computation of the wall heat flux, a quantity that depends strongly on mesh quality for unstructured grids. One key aspect is the solution of the adjoint problem to get the metric estimation, which is an input of the remesher. The performance of the proposed computational chain is assessed with test cases of increasing complexity, both in 2D and 3D.

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