Naturally curved quadrilateral mesh generation using an adaptive spectral element solver

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Title: Naturally curved quadrilateral mesh generation using an adaptive spectral element solver
Authors: Marcon, J
Kopriva, DA
Sherwin, SJ
Peiro, J
Item Type: Conference Paper
Abstract: We describe an adaptive version of a method for generating valid naturally curved quadrilateral meshes. The method uses a guiding field, derived from the concept of a cross field, to create block decompositions of multiply connected two dimensional domains. The a priori curved quadrilateral blocks can be further split into a finer high-order mesh as needed. The guiding field is computed by a Laplace equation solver using a continuous Galerkin or discontinuous Galerkin spectral element formulation. This operation is aided by using p-adaptation to achieve faster convergence of the solution with respect to the computational cost. From the guiding field, irregular nodes and separatrices can be accurately located. A first version of the code is implemented in the open source spectral element framework Nektar++ and its dedicated high order mesh generation platform NekMesh.
Issue Date: 12-Aug-2019
Date of Acceptance: 9-Aug-2019
Journal / Book Title: Proceedings of the 28th International Meshing Roundtable
Replaces: 10044/1/72665
Copyright Statement: This paper is embargoed until publication. Once published will be available fully open access.
Sponsor/Funder: Commission of the European Communities
Funder's Grant Number: 675585
Conference Name: 28th International Meshing Roundtable and User Forum
Keywords: math.NA
Publication Status: Accepted
Start Date: 2019-10-14
Finish Date: 2019-10-17
Conference Place: Buffalo, NY, USA
Embargo Date: publication subject to indefinite embargo
Appears in Collections:Aeronautics

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