Acceleration Schemes of the Discrete Velocity Method: Gaseous Flows in Rectangular Microchannels

@article{Valougeorgis2003AccelerationSO,
  title={Acceleration Schemes of the Discrete Velocity Method: Gaseous Flows in Rectangular Microchannels},
  author={Dimitris Valougeorgis and Stergios Naris},
  journal={SIAM J. Scientific Computing},
  year={2003},
  volume={25},
  pages={534-552}
}
The convergence rate of the discrete velocity method (DVM), which has been applied extensively in the area of rarefied gas dynamics, is studied via a Fourier stability analysis. The spectral radius of the continuum form of the iteration map is found to be equal to one, which justifies the slow convergence rate of the method. Next the efficiency of the DVM is improved by introducing various acceleration schemes. The new synthetic-type schemes speed up significantly the iterative convergence rate… CONTINUE READING
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