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基于分数阶相场模型的多相流数值模拟（英文）

Numerical simulations of multi-phase flows using fractional phase-field models

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【作者】 许传炬；

【机构】 厦门大学数学科学学院；

【摘要】 In this talk,we will present a new model for two-phase flows using fractional derivatives and construct efficient methods for numerical simulations of two-phase flows with abnormal diffusion.The main ingredients of the talk include:1)a stable direction splitting schema for the fractional Allen-Cahn equation in high dimension;2)a stable schema for the fractional Allen-Cahn equation and the incompressible Navier-Stokes equations;3)numerical simulations of two-phase flows governed by the fractional phase-field model.

【Abstract】 In this talk,we will present a new model for two-phase flows using fractional derivatives and construct efficient methods for numerical simulations of two-phase flows with abnormal diffusion.The main ingredients of the talk include:1)a stable direction splitting schema for the fractional Allen-Cahn equation in high dimension;2)a stable schema for the fractional Allen-Cahn equation and the incompressible Navier-Stokes equations;3)numerical simulations of two-phase flows governed by the fractional phase-field model.

  • 【会议录名称】 第七届中国空气动力学学会物理气体动力学专业委员会换届选举大会暨学术交流会论文集
  • 【会议名称】第七届中国空气动力学学会物理气体动力学专业委员会换届选举大会暨学术交流会
  • 【会议时间】2016-12-23
  • 【会议地点】中国北京
  • 【分类号】O359
  • 【主办单位】北京应用物理与计算数学研究所
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