Adaptive mesh refinement (AMR) and cut-cell algorithms were developed for a 3-level
Cartesian mesh based Direct Simulation Monte Carlo (DSMC) implementation. The
simple and efficient AMR algorithm adapts the cell size to the local mean free path of
the flow field. Variable time step technique was implemented together with the AMR
algorithm to set a time step consistent with the local mean collision time. The control
of simulation particles through the use of variable time step was also illustrated. The
cut-cell method decouples the flow field Cartesian mesh and the triangulated surface
mesh representing any object inside the flow field. Two key aspects of the cut-cell
method: cut-cell sorting and volume calculation were discussed in detail. The 3-level
embedded Cartesian mesh combined with AMR and variable time step allows increased
flexibility for precise control of local mesh size and time step, both vital for accurate
and efficient DSMC simulation. Hypersonic flow simulations were conducted to highlight
the performance of AMR, variable time step and cut-cell algorithms. Three dimensional
simulation of Planetary probe reproduced the experimental heat flux measurement.
University of Minnesota M.S. thesis. May 2010. Major: Aerospace Engineering and Mechanics. Advisor: Dr. Thomas Schwartzentruber. 1 computer file (PDF); vii, 47 pages. Ill. (some col.)
Adaptive mesh refinement and cut-cell algorithms for DSMC simulation of hypersonic flows..
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