Multi-scale Simulation of the Interaction of a Shock Wave and a Cloud of Particles

  • S. Taverniers
  • G. B. JacobsEmail author
  • V. Fountoulakis
  • O. Sen
  • H. S. Udaykumar
Conference paper


A multi-scale method is proposed in which resolved mesoscale simulations of the interaction of a normal moving shock with a rectangular cloud of particles yield a parametric representation of the drag due to these particles. This establishes a link between the meso- and macroscale through metamodels, which provide closure terms for a macroscale model. The latter is used to simulate a process-scale problem via an Eulerian-Lagrangian approach, assuming a point-particle representation of the particle phase. Results obtained using a traditional cloud-in-cell method with first-order particle-to-grid weighing are compared to those of the novel “SPARSE” algorithm which represents the entire particle cloud with a single macro-particle and approximates the actual cloud shape with a bivariate Gaussian distribution for the purpose of weighing the particle momentum and energy contribution to the carrier flow onto the Eulerian fluid grid. The resulting multi-scale approach has the potential to improve the accuracy and efficiency of shocked particle-laden flow simulations and enable simulation of realistic scales.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2019

Authors and Affiliations

  • S. Taverniers
    • 1
  • G. B. Jacobs
    • 1
    Email author
  • V. Fountoulakis
    • 1
  • O. Sen
    • 2
  • H. S. Udaykumar
    • 2
  1. 1.Department of Aerospace EngineeringSan Diego State UniversitySan DiegoUSA
  2. 2.Department of Industrial and Mechanical EngineeringUniversity of IowaIowa CityUSA

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