LI Tao, SUI Jing-xia, WU Chui-jie. Simulation of 6-DOF Rigid Bodies Moving in Supersonic Flow[J]. Applied Mathematics and Mechanics, 2016, 37(1): 27-47. doi: 10.3879/j.issn.1000-0887.2016.01.003
Citation: LI Tao, SUI Jing-xia, WU Chui-jie. Simulation of 6-DOF Rigid Bodies Moving in Supersonic Flow[J]. Applied Mathematics and Mechanics, 2016, 37(1): 27-47. doi: 10.3879/j.issn.1000-0887.2016.01.003

Simulation of 6-DOF Rigid Bodies Moving in Supersonic Flow

doi: 10.3879/j.issn.1000-0887.2016.01.003
Funds:  The National Natural Science Foundation of China(11372068); The National Basic Research Program of China(973 Program)(2014CB744104)
  • Received Date: 2015-10-29
  • Rev Recd Date: 2015-11-20
  • Publish Date: 2016-01-16
  • Simulation of bodies moving in fluid has very broad application areas. A method for solving unsteady compressible supersonic flow with freely moving rigid bodies of 6 degrees of freedom was presented. The fluid solver dealt with the large-eddy simulation turbulence model, which was a stretched vortex subgrid model in the current work. The WENO scheme was used in the discontinuous flow regions (the shock waves and the contact surfaces) and the tuned center difference scheme was applied in the smooth flow regions. An optimal 3rd-order strong-stability preserving Runge-Kutta scheme was used for the time integration. The model for the rigid bodies was of 6 degrees of freedom and its orientation was tracked with a quaternion. Several numerical examples were presented to verify the correctness and accuracy of the solvers and the results were satisfactory.
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