An application of Discontinuous Galerkin space and velocity discretisations to the solution of a model kinetic equation

DOI10.1080/10618562.2012.668889OpenAlexW2028704311MaRDI QIDQ5070374

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Publication date: 11 April 2022

Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10618562.2012.668889

zbMATH Keywords

heat transfershock wavediscontinuous Galerkin methodsmodel kinetic equationshigh-order numerical methods

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Related Items (max. 100)

Solving the discrete S-model kinetic equations with arbitrary order polynomial approximations ⋮ Deterministic solution of the spatially homogeneous Boltzmann equation using discontinuous Galerkin discretizations in the velocity space ⋮ Computational Study of Hypersonic Rarefied Gas Flow over Re-Entry Vehicles Using the Second-Order Boltzmann-Curtiss Constitutive Model

Uses Software

• Boltzmann

Cites Work

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• Numerical properties of high order discrete velocity solutions to the BGK kinetic equation
• A discontinuous Galerkin solver for Boltzmann-Poisson systems in nano-devices
• A Galerkin method for the simulation of the transient 2-D/2-D and 3-D/3-D linear Boltzmann equation
• Unified solver for rarefied and continuum flows with adaptive mesh and algorithm refinement
• Conservative numerical methods for model kinetic equations
• Discrete-velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries
• Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
• High order numerical methods for the space non-homogeneous Boltzmann equation.
• A parallel gas-kinetic Bhatnagar–Gross–Krook method for the solution of viscous flows on two-dimensional hybrid grids
• Numerical study of radiometric forces via the direct solution of the Boltzmann kinetic equation
• A γ-DGBGK scheme for compressible multi-fluids
• Origins of radiometric forces on a circular vane with a temperature gradient
• Extension of the DSMC method to high pressure flows
• A direct simulation Monte Carlo method for rarefied gas flows in the limit of small Mach number
• Structure of a Plane Shock Layer
• An Interior Penalty Finite Element Method with Discontinuous Elements
• Structure of normal shock waves: Direct numerical analysis of the Boltzmann equation for hard-sphere molecules
• Numerical Solution of the Boltzmann Equation I: Spectrally Accurate Approximation of the Collision Operator
• Discontinuous Galerkin BGK Method for Viscous Flow Equations: One-Dimensional Systems
• A NOTE ON THE PROPAGATION OF BOUNDARY INDUCED DISCONTINUITIES IN KINETIC THEORY
• Analysis of accommodation coefficients of noble gases on aluminum surface with an experimental/computational method
• On the Convergence of the Discrete Ordinate Method in Kinetic Theory
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
• Statistical simulation of low-speed rarefied gas flows

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