A compatible cell-centered ALE method based on general riemann solver

We first deeply analyzed the reason why the exact Riemann sovler, MFCAV (Multi fluid channel on averaged volume) Riemann solver and Dukowicz Riemann solver cannot be applied directly to the compatible Lagrangian method and then, by introducing a new general nodal solver, we successfully applied the 3 Riemann solvers to the Lagrangian method. Combing the new Lagrangian method with efficiency remesh and remapping technology, we developed a new cell-centered compatible ALE (Arbitrary Lagrangian and Eulerian) method based on arbitrary Riemann solvers. Several numerical examples show that the new ALE method not only has the advantages of the new compatible Lagrangian method, but also has the ability to deal with the large deformation problems.