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In this paper, we propose a new optimization-based method for high-order mesh generation. Our proposed method is based on affine combinations of nodal positions. For each interior node in the high-order straight-sided mesh, a set of weights that relates the node to its neighbors is calculated. After the high-order boundary nodes are curved to conform with the true boundary, the interior nodes are moved based on the generated weights and the new boundary positions. We present results from applying our method to several aerospace engineering geometries in 2D and 3D which demonstrate the capabilities of our method.

High-Order Mesh Generation Based on Optimal Affine Combinations of Nodal Positions