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High-order curvilinear meshing using a thermo-elastic analogy

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Figure

Fig. 1. Mesh deformation driven by boundary displacement.
Fig. 4. Determining the maximum deformations generated by the mapping: a two- two-dimensional illustration.
Fig. 6. Test case used to illustrate the effect of thermal stresses: (a) The computational domain is a square plate with a circular hole and the points in the circle are rotated about its centre by an angle θ ; (b) Initial mesh consisting of 1 031 high-ord
Fig. 7. Isotropic thermal stresses: (a) The maximum rotation angle θ m as a function of the scaling coefficient β for polynomial orders P = 4 , 6 , 8; (b) Enlargement near the circular hole of the mesh and iso-contours of thermal stresses at θ m = 130 ◦ fo
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