A mesh smoothing method is implemented in a viscous layer mesh extrusion process for mixed surface domains containing triangles and quadrilaterals. As each layer is created the smoothing method ensures high quality elements with proper normal spacing. The smoothing is an extension of an optimization-based node perturbation technique that uses a cost function to enforce desired element shapes and layer height. Details of the smoothing method are described. Several three-dimensional examples are included that demonstrate the effectiveness of the method to produce high quality viscous layer meshes.
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