Proceedings of the 18th International Meshing Roundtable 2009
DOI: 10.1007/978-3-642-04319-2_32
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Automatic All Quadrilateral Mesh Adaption through Refinement and Coarsening

Abstract: Abstract. This work presents a new approach to conformal all-quadrilateral mesh adaptation. Most current quadrilateral adaptivity techniques rely on mesh refinement or a complete remesh of the domain. In contrast, we introduce a new method that incorporates both conformal refinement and coarsening strategies on an existing mesh of any density or configuration. Given a sizing function, this method modifies the mesh by combining template-based quadrilateral refinement methods with recent developments in localize… Show more

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Cited by 20 publications
(11 citation statements)
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References 17 publications
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“…Refined grids are generated through the use of CUBIT, a software package developed at Sandia National Laboratories (Anderson et al 2009). This software allows the user to create a globally uniform cubed-sphere grid of a specified resolution and then refine over userselected areas.…”
Section: Variable Resolution In Cam-sementioning
confidence: 99%
“…Refined grids are generated through the use of CUBIT, a software package developed at Sandia National Laboratories (Anderson et al 2009). This software allows the user to create a globally uniform cubed-sphere grid of a specified resolution and then refine over userselected areas.…”
Section: Variable Resolution In Cam-sementioning
confidence: 99%
“…Elements in the refinement region are divided into four and those bordering the region into three (Anderson et al 2009). The user selects a base resolution and subsequently refines over an arbitrary number of regions of arbitrary spatial extent.…”
Section: A Cam-sementioning
confidence: 99%
“…For these applications, the dynamical cores ideally should satisfy several properties, such as conservation, compatible or mimetic properties, and accurate representation of global-to-mesoscale flows (Taylor and Fournier 2010;Ringler et al 2010;Skamarock 2011;Staniforth and Thuburn 2012). These numerical techniques, along with progress in grid generation (Tomita et al 2002;Anderson et al 2009;Ju et al 2011;Walko and Avissar 2011), make it possible to increase grid resolution locally while maintaining a quasi-uniform resolution outside the refined domain. The associated grids are often described as unstructured because each cell is identified by a unique index and its connectivity to the neighboring cells, due to nonrectangular cell shapes and/or local coordinate system used in the numerical scheme.…”
Section: B Emerging Challenges In Physics-dynamics Coupling With Mulmentioning
confidence: 99%