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Dendritic Meshing: LA-UR 11-04075

Jean, Brian A., Rodney W. Douglass, Guy R. McNamara, and Frank A. Ortega

20th International Meshing Roundtable, Springer-Verlag, pp.619-636, October 23-26 2011


20th International Meshing Roundtable
Paris, France
October 23-26, 2011

Los Alamos National Laboratory

A mesh is said to be dendritic if it contains elements with mid-side (edge) nodes when the predominant element topology has only corner nodes. A dendritic mesh is illustrated in Figure 1 where the predominant element is a four-node quadrilateral, but has also several five-node quadrilateral elements each with one mid-edge node plus four corner nodes. Such meshes arise when an approximately uniform element size is required across a mesh domain in cases, for example, where domain geometry changes would otherwise cause a significant variation in element size or in an Adaptive Mesh Refinement (AMR) context. In meshes created for multi-physics applications with explicit time-stepping, the maximum time-step size is intimately tied to element size through the Courant-Friedrichs-Lewy condition[6].

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