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Mesh Movement and Adaptation in Adjoint-based Design

Shape optimisation by definition deforms the design surface and hence the mesh. As long as only small design changes are considered, many mesh deformation approaches provide good results. When considering strong deformations or even small deformations relative to small gap sizes, simple techniques such as Laplacian smoothing no longer suffice. This workshop will explore techniques of tetrahedral mesh deformation, mesh repair and remeshing to allow large displacements.

Having adjoint sensitivities available suggests to combine them with error estimation and use the resulting sensor for goal-driven mesh refinement, either through mesh movement or local mesh refinement. The state of the art in error estimation and adjoint-based mesh refinement will be reviewed and application in finite volume and finite element methods will be discussed.

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