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All the meshes are generated by the same code of the adaptive Cartesian grid.
However, invalid meshes are generated when the motion is complex and/or involves multiple bodies.
Third, optimized anisotropic meshes are generated from the computed metric tensor by an anisotropic centroidal Voronoi tessellation algorithm.
The meshes are generated using anisotropic mesh adaptation based on local mesh modifications and we extent these modifications to preserve the information required for interpolating the design variables between meshes.
In particular very regular meshes are generated to resolve real meteorological features (derived from a weather forecasting model covering the UK area) in grids with over 2×107 degrees of freedom.
For each of the different 120 cases with different combinations of D and t, seven different meshes are generated corresponding to seven different crack lengths, i.e., a varying from 1 to 7 mm by altering the position of the refined mesh along x-direction as shown in Fig. 2 and changing the mirror boundary conditions at the crack-plane.
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Finite element meshes were generated based on the average, standard deviation and range of BFlh dimensions.
In order to achieve accuracy in the simulation results, finer meshes were generated for the area close to diesel engines where high gradients existed.
Meshes were generated and refined automatically in Matlab and the PDE toolbox (Mathworks) using the Delaunay triangulation algorithm [13].
If not explicitly denoted, the FEM meshes were generated by GMSH [35] using linear tetrahedral elements.
Meshes were generated from the XCT images of the phantom and mouse.
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