Local-maximum-and-minimum-preserving solution remapping technique to accelerate flow convergence for discontinuous Galerkin methods in shape optimization design. (English) Zbl 1469.65151
This article discusses a remapping technique for high-order Discontinuous Galerkin methods to reduce the computational cost of the flow simulations. The proposed technique is applied to a transonic airfoil drag minimization problem and an airfoil inverse design problem where high-order DG solvers are employed for flow simulations of the intermediate shapes.
Reviewer: Marius Ghergu (Dublin)
MSC:
| 65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |
| 65M12 | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs |
| 49Q10 | Optimization of shapes other than minimal surfaces |
Keywords:
solution remapping technique; discontinuous Galerkin method; flow convergence; aerodynamic shape optimizationReferences:
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