| Title | ARobust Riemann Solver for Multiple Hydro-Elastoplastic Solid Mediums |
| Authors | Li, Ruo Wang, Yanli Yao, Chengbao |
| Affiliation | Peking Univ, HEDPS, Beijing, Peoples R China Peking Univ, CAPT, LMAM, Beijing, Peoples R China Peking Univ, Sch Math Sci, Beijing, Peoples R China Peking Univ, Coll Engn, Beijing, Peoples R China Northwest Inst Nucl Technol, Xian 710024, Shaanxi, Peoples R China |
| Keywords | IMPROVED CE/SE SCHEME MIE-GRUNEISEN EQUATION CARTESIAN GRID METHOD GHOST FLUID METHOD LEVEL SET NUMERICAL-SIMULATION MULTIMATERIAL IMPACT MULTICOMPONENT FLOW GODUNOV METHOD SHOCK-WAVES |
| Issue Date | Feb-2020 |
| Publisher | ADVANCES IN APPLIED MATHEMATICS AND MECHANICS |
| Abstract | We propose a robust approximate solver for the hydro-elastoplastic solid material, a general constitutive law extensively applied in explosion and high speed impact dynamics, and provide a natural transformation between the fluid and solid in the case of phase transitions. The hydrostatic components of the solid is described by a family of general Mie-Gruneisen equation of state (EOS), while the deviatoric component includes the elastic phase, linearly hardened plastic phase and fluid phase. The approximate solver provides the interface stress and normal velocity by an iterative method. The well-posedness and convergence of our solver are proved with mild assumptions on the equations of state. The proposed solver is applied in computing the numerical flux at the phase interface for our compressible multi-medium flow simulation on Eulerian girds. Several numerical examples, including Riemann problems, shock-bubble interactions, implosions and high speed impact applications, are presented to validate the approximate solver. |
| URI | http://hdl.handle.net/20.500.11897/584873 |
| ISSN | 2070-0733 |
| DOI | 10.4208/aamm.OA-2019-0039 |
| Indexed | SCI(E) Scopus |
| Appears in Collections: | 工学院 数学及其应用教育部重点实验室 数学科学学院 |
