Deterministic numerical solutions of the Boltzmann equation using the fast spectral method [PDF]
, 2013 The Boltzmann equation describes the dynamics of rarefied gas flows, but the multidimensional nature of its collision operator poses a real challenge for its numerical solution. In this paper, the fast spectral method [36], originally developed by Mouhot
White, Craig +4 more
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Variational approach to gas flows in microchannels on the basis of the Boltzmann equation for hard-sphere molecules [PDF]
, 2009 This paper was presented at the 2nd Micro and Nano Flows Conference (MNF2009), which was held at Brunel University, West London, UK. The conference was organised by Brunel University and supported by the Institution of Mechanical Engineers, IPEM, the ...
2nd Micro and Nano Flows Conference (MNF2009) +2 more
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Solving the Boltzmann equation deterministically by the fast spectral method : application to gas microflows [PDF]
, 2014 Based on the fast spectral approximation to the Boltzmann collision operator, we present an accurate and efficient deterministic numerical method for solving the Boltzmann equation.
Reese, Jason M., Zhang, Yonghao, Wu, Lei
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Solving the Boltzmann equation on GPUs [PDF]
Computer Physics Communications, 2011 18 pages, 3 pseudo-codes, 6 figures, 1 ...
Aldo Frezzotti +2 more
openaire +4 more sources
Progress in developing Poisson-Boltzmann equation solvers [PDF]
Computational and Mathematical Biophysics, 2013 Li Chuan +3 more
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Analytical solution of axi-symmetrical lattice Boltzmann model for cylindrical Couette flows [PDF]
, 2012 Analytical solution for the axi-symmetrical lattice Boltzmann model is obtained for the low-Mach number cylindrical Couette flows. In the hydrodynamic limit, the present solution is in excellent agreement with the result of the Navier-Stokes equation ...
An, Hongyan +3 more
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Lattice Boltzmann in micro- and nano- flow simulations [PDF]
, 2009 This paper was presented at the 2nd Micro and Nano Flows Conference (MNF2009), which was held at Brunel University, West London, UK. The conference was organised by Brunel University and supported by the Institution of Mechanical Engineers, IPEM, the ...
2nd Micro and Nano Flows Conference (MNF2009) +1 more
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The Lattice Boltzmann equation for modelling arterial flows : review and application [PDF]
, 2003 The lattice Boltzmann model (LBM) is a relatively new development in computational fluid dynamics. Here we review the technique with particular emphasis on its application to biological systems.
Mulholland, Anthony +12 more
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Investigating the Numerical solution of the BoltzmannTransport Equation in silicon in Momentum Space Using Computational Systems of Different Dimensions [PDF]
مجلة التربية والعلم, 2020 The Boltzmann transport equation is the basic equation for solving the transport of charge carrier (electrons, holes) problems in semiconductor devices. The distribution function has been obtained from the solution of this equation.
Mumtaz Hussien, Mahmood Mahmood
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Hybrid Lattice Boltzmann Model for Nonlinear Diffusion and Image Denoising
Mathematics, 2023 In the present paper, a novel approach for image denoising based on the numerical solution to the nonlinear diffusion equation is proposed. The Perona–Malik-type equation is solved by employing a hybrid lattice Boltzmann model with five discrete ...
Oleg Ilyin
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