Adaptive reconnection-based arbitrary Lagrangian Eulerian method

摘要: eW present a new adaptive Arbitrary Lagrangian Eulerian (ALE) method. This method is based on the reconnection-based ALE (ReALE) methodology of Refs. 35,34,6. The main elements in standard ReALE are: an explicit phase arbitrary polygonal (in 2D) mesh which solution and positions grid nodes are updated; rezoning defined by changing connectivity (using Voronoi tessellation) but not number cells; remapping transferred onto grid. In method, rezoned smoothed using one or several steps toward centroidal tessellation, it adapted to any way.In current paper we A-ReALE, that following design principles. First, monitor function (or error indicator) Hessian some flow parameter(s) utilized. Second, equi-distribution principle for used as criterion adapting mesh. Third, tessellation adapt Fourth, scale avoid very small large cells then smooth permit use theoretical results related weighted tessellation.In A-ReALE both their locations allowed change at rezone stage each time step. generators step chosen guarantee required spatial resolution regions where reaches its maximum value.We all details implementation demonstrate performance comparison with series numerical examples.