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Physics > Fluid Dynamics

arXiv:1807.07644 (physics)
[Submitted on 19 Jul 2018]

Title:High-Order Implicit Hybridizable Discontinuous Galerkin Method for the Boltzmann Equation

Authors:Wei Su, Peng Wang, Yonghao Zhang, Lei Wu
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Abstract:The high-order hybridizable discontinuous Galerkin (HDG) method combining with an implicit iterative scheme is used to find the steady-state solution of the Boltzmann equation with full collision integral on two-dimensional triangular meshes. The velocity distribution function and its trace are approximated in the piecewise polynomial space of degree up to 4. The fast spectral method (FSM) is incorporated into the DG discretization to evaluate the collision operator. Specific polynomial approximation is proposed for the collision term to reduce the computational cost. The proposed scheme is proved to be accurate and efficient.
Subjects: Fluid Dynamics (physics.flu-dyn)
Cite as: arXiv:1807.07644 [physics.flu-dyn]
  (or arXiv:1807.07644v1 [physics.flu-dyn] for this version)
  https://doi.org/10.48550/arXiv.1807.07644
Related DOI: https://doi.org/10.1080/10618562.2019.1666110

Submission history

From: Wei Su [view email]
[v1] Thu, 19 Jul 2018 21:08:52 UTC (228 KB)
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