Imperial College London


Faculty of EngineeringDepartment of Aeronautics

Professor of Computational Fluid Mechanics



+44 (0)20 7594 5052s.sherwin Website




313BCity and Guilds BuildingSouth Kensington Campus






BibTex format

author = {Marcon, J and Kopriva, DA and Sherwin, SJ and Peiro, J},
doi = {10.5281/zenodo.3653409},
pages = {254--266},
publisher = {arXiv},
title = {Naturally curved quadrilateral mesh generation using an adaptive spectral element solver},
url = {},
year = {2020}

RIS format (EndNote, RefMan)

AB - 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.
AU - Marcon,J
AU - Kopriva,DA
AU - Sherwin,SJ
AU - Peiro,J
DO - 10.5281/zenodo.3653409
EP - 266
PB - arXiv
PY - 2020///
SP - 254
TI - Naturally curved quadrilateral mesh generation using an adaptive spectral element solver
UR -
UR -
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ER -