An upwind lattice Boltzmann scheme
Megala A, S.V. Raghurama Rao
TL;DR
This paper introduces an upwind lattice Boltzmann scheme designed for hyperbolic scalar conservation laws, emphasizing low diffusion and entropy satisfaction, with a model for source terms to balance convection and sources.
Contribution
It presents a novel lattice Boltzmann scheme that closely approximates the Engquist-Osher scheme, improving stability and accuracy for hyperbolic conservation laws.
Findings
Scheme is close to pure upwind and low diffusive
Incorporates entropy satisfying properties
Effectively models source terms for scalar laws
Abstract
A lattice Boltzmann scheme that is close to pure upwind, low diffusive and entropy satisfying Engquist-Osher scheme has been formulated for hyperbolic scalar conservation laws. A model for source terms, with scalar conservation laws, is introduced to remove the numerical imbalance between convection and source terms.
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Taxonomy
TopicsLattice Boltzmann Simulation Studies · Fluid Dynamics and Turbulent Flows · Fluid Dynamics and Vibration Analysis