A Galerkin method for the simulation of the transient 2-D/2-D and 3-D/3-D linear Boltzmann equation

DOI10.1007/s10915-005-9069-1zbMath1167.76029OpenAlexW2160134803MaRDI QIDQ877849

Timothy S. Cale, Matthias K. Gobbert, Samuel G. Webster

Publication date: 3 May 2007

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-005-9069-1

zbMATH Keywords

finite element methodcluster computingchemical vapor depositioncollocation basis

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Spectral methods applied to problems in fluid mechanics (76M22) Finite element methods applied to problems in fluid mechanics (76M10) Parallel numerical computation (65Y05) Reaction effects in flows (76V05)

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Uses Software

• WENO

Cites Work

• The Boltzmann equation and its applications
• Upwind finite difference solution of Boltzmann equation applied to electron transport in semiconductor devices
• A WENO-solver for the transients of Boltzmann-Poisson system for semiconductor devices: Performance and comparisons with Monte Carlo methods.
• Discontinuous Galerkin methods. Theory, computation and applications. 1st international symposium on DGM, Newport, RI, USA, May 24--26, 1999
• A kinetic transport and reaction model and simulator for rarefied gas flow in the transition regime
• Convergence of Moment Methods for Linear Kinetic Equations
• An Adaptive Discontinuous Galerkin Technique with an Orthogonal Basis Applied to Compressible Flow Problems
• Space-Time Discretization of Series Expansion Methods for the Boltzmann Transport Equation
• Moment Methods for the Semiconductor Boltzmann Equation on Bounded Position Domains
• Numerical solution of Boltzmann's equation
• On the kinetic theory of rarefied gases
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