High-Order Mesh Generation Using Pointwise

Traditionally, adding cells to a mesh, known as H-refinement, was the primary means by which solution accuracy could be improved. The additional resolution enables the capturing of flow phenomena often diffused by coarser variations of the same mesh. Another technique used to improve spatial and temporal accuracy is by performing degree elevation, both for the assumed solution within a given element and for the element itself. In doing so, linear meshes can become curved with the addition of nodes along edges, faces, and in the interior. Fewer elements are then required to accurately represent curved geometry and capture complex flow features of interest.