摘要
With the intermediate flow states predicted by local two phase Riemann problem,the modified ghost fluid method(MGFM)and its variant(r GFM)have been widely employed to resolve the interface condition in the simulation of compressible multi-medium flows.In this work,the drawback of the construction procedure of local two phase Riemann problem in r GFM was investigated in detail,and a refined version of the construction procedure was specially developed to make the simulation of underwater explosion bubbles more accurate and robust.Beside the refined r GFM,the fast and accurate particle level set method was also adopted to achieve a more effective and computationally efficient capture of the evolving multi-medium interfaces during the simulation.To demonstrate the improvement brought by current refinement,several typical numerical examples of underwater explosion bubbles were performed with original r GFM and refined r GFM,respectively.The results indicate that,when compared with original r GFM,numerical oscillations were effectively removed with the proposed refinement.Accordingly,with present refined treatment of interface condition,a more accurate and robust simulation of underwater explosion bubbles was accomplished in this work.
With the intermediate flow states predicted by local two phase Riemann problem, the modified ghost fluid method （MGFM） and its variant （rGFM） have been widely employed to resolve the interface condition in the simulation of compressible mul- ti-medium flows. In this work, the drawback of the construction procedure of local two phase Riemann problem in rGFM was investigated in detail, and a refined version of the construction procedure was specially developed to make the simulation of underwater explosion bubbles more accurate and robust. Beside the refined rGFM, the fast and accurate particle level set method was also adopted to achieve a more effective and computationally efficient capture of the evolving multi-medium in- terfaces during the simulation. To demonstrate the improvement brought by current refinement, several typical numerical ex- amples of underwater explosion bubbles were performed with original rGFM and refined rGFM, respectively. The results in- dicate that, when compared with original rGFM, numerical oscillations were effectively removed with the proposed refinement. Accordingly, with present refined treatment of interface condition, a more accurate and robust simulation of underwater explo- sion bubbles was accomplished in this work.
基金
supported by the National Natural Science Foundation of China(Grant Nos.041322062 and 51075004)
the Foundation of Zhejiang Educational Committee(Grant No.529003+G21144)
