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orcid: 0000-0002-3456-2277
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affiliation: 6
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affiliations:
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- name: The Florida State University, Tallahassee, FL, USA
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- name: The Florida State University, Tallahassee, FL, United States of America
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index: 1
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- name: San Diego State University, San Diego, CA, USA
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- name: San Diego State University, San Diego, CA, United States of America
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- name: Department of Mathematics; Applied Mathematics, Linköping University, Sweden
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- name: High-Performance Scientific Computing & Centre for Advanced Analytics and Predictive Sciences, University of Augsburg, Germany
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- name: Fluid Numerics, Hickory, NC, USA
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- name: Fluid Numerics, Hickory, NC, United States of America
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- name: Institute of Mathematics, Johannes Gutenberg University Mainz, Germany
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In 2002 Sherwin and Peiro [@Sherwin:2002vx] wrote: "The development of robust unstructured high-order methods is currently limited by the inability to consistently generate valid computational meshes for complex geometries without user intervention." This has remained true particularly for quadrilateral and hexahedral meshes.
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For these reasons, HOHQMesh was developed to generate all-quadrilateral and extruded hexahedral meshes suitable for use with spectral element methods. HOHQMesh is a direct quadrilateral mesher, which generates quadrilateral elements by the subdivision method of Schneiders [@schneiders2000algorithms] rather than indirectly from a triangular mesh or by curving a low order mesh. It also adjusts the size and curvature of the elements based on the length scales in the model, rather than attempting to modify an existing low-order mesh.
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Examples of meshes generated by HOHQMesh have been published in [@winters2014high], [@kopriva2016geometry], [@acosta2020simulation], [@manzanero2020entropy], [@ersing2024entropy], [@ranocha2024robustness], [@PhysRevFluids.9.053901], plus [@wintermeyer2018] and [@eriksson2024laplacian].
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Examples of meshes generated by HOHQMesh have been published in @winters2014high, @kopriva2016geometry, @acosta2020simulation, @manzanero2020entropy, @ersing2024entropy, @ranocha2024robustness, @PhysRevFluids.9.053901, plus @wintermeyer2018 and @eriksson2024laplacian.
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# Features
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HOHQMesh is designed to require minimal input from the user through the use of a control file. The model defines the geometry in terms of an outer and inner boundary curves.
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HOHQMesh is designed to require minimal input from the user through the use of a control file. The model defines the geometry in terms of an outer and one or more inner boundary curves.
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