A local rezoning and remapping method for unstructured mesh Original Research Article

This paper presents explicit description of the rezoning and remapping method for unstructured mesh. The rezoning and remapping constitute two of the three phases of Arbitrary Lagrangian–Eulerian (ALE) methods, while the other one is Lagrangian phase. Our method is local (vs. global) in order that the majority of mesh remains unchanged, and that the error caused by remapping can be confined within the changed areas. This is achieved by specifying the local worse areas of mesh based on the mesh-closure and mesh-union concepts. After the computing of worse areas, they are rezoned and united with the remaining areas to compose the new mesh. Then within the new mesh only the worse areas are remapped using four methods with different orders of accuracy, including linear interpolation, particle remapping, first order integral remapping and high order ENO (essentially non-oscillatory) remapping. (However, our program only uses the first order integral remapping method for the moment.) Our methodʼs application in the inertial confinement fusion (ICF) simulation is introduced at the end.