自适应多分辨率方法在反应多相流数值模拟中的应用

Application of Adaptive Multi-resolution Method in Numerical Simulation of Reactive Multiphase Flows

  • 摘要: 将自适应多分辨率方法应用到刚性气体状态方程CJ模型的数值模拟,采用多相流问题的守恒锐利界面格式,通过level-set方法和虚拟流体方法来追踪和处理界面,能够很好地处理时间尺度较大的界面交互问题.利用金字塔型数据结构和多分辨率自适应方法,提高算法的存储效率和计算效率.给出一维和二维的数值算例,证明该算法在反应多相流数值模拟中的稳定性和高效性.

     

    Abstract: We applie adaptive multi-resolution method to numerical simulation of stiffened-gas equation of state based on CJ model. A conservation sharp interface method of multiphase flow, in which the interface problem is tracked and solved by level-set method and ghost fluid method, is adopted. This method handles long physical time scale interactions across interface well and reduces conservative associated errors. In addition, pyramid data structure and adaptive multi-resolution analysis are used to improve storage efficiency and calculation efficiency of the algorithm. Finally, numerical examples are given to demonstrate stability and effectiveness of the adaptive multi-resolution method in numerical simulation of reactive multiphase flows.

     

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