A New Remapping Method to Suppress Velocity Nonphysical Propagation

The severe numerical dissipative phenomenon exists in the multi-material arbitrary Lagrange-Euler (ALE) method with original remapping algorithm when strong discontinuities and large deformations are simulated. In order to improve reliability of calculation results and robustness of the algorithms, it is necessary to use repeated re-mapping technique. Through some numerical tests and analysis with the traditional remapping technique, it was found that the numerical dissipation meets with nonphysical velocity. Then, an improved remapping method was presented, which not only restores the spatial distribution of the physical field but satisfies mass conservation, momentum conservation and energy conservation. Thus the new method shows more accuracy and reliability for the numerical simulation of hydrodynamic problems such as strong discontinuities, high density-ratio, high pressure-ratio, and strong shocks.