Mathematical Modeling and Analysis
An important part of the Arbitrary Lagrangian-Eulerian method is the rezoning or mesh improvement step after completion of the Lagrangian step where the mesh is deformed according to the flow. A procedure is presented here to optimize the quality of elements in 3D solid meshes by node repositioning. The procedure aims to improve the quality of boundary mesh faces and interior mesh regions while keeping the nodes close to their original locations and preserving the essential characteristics of the boundary surfaces.