Numerical stability of entropic versus positivity-enforcing lattice Boltzmann schemes

DOI10.1016/j.matcom.2006.05.007zbMath1116.76068OpenAlexW2022825036MaRDI QIDQ2506933

Sauro Succi, Hudong Chen, Iliya V. Karlin, Stefano Ubertini, Francesca Tosi

Publication date: 10 October 2006

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2006.05.007

zbMATH Keywords

lattice Boltzmann schemeentropic schemespositivity-enforcing

Mathematics Subject Classification ID

Particle methods and lattice-gas methods (76M28)

Related Items (13)

Interpolation methods and the accuracy of lattice-Boltzmann mesh refinement ⋮ On the search of more stable second-order lattice-Boltzmann schemes in confined flows ⋮ Adaptive filtering for the lattice Boltzmann method ⋮ LATTICE BOLTZMANN APPROACH TO HIGH-SPEED COMPRESSIBLE FLOWS ⋮ A critical study of the compressible lattice Boltzmann methods for Riemann problem ⋮ Lattice-Boltzmann hydrodynamics of single-square-grid generated turbulence -- a partial entropic stabilisation approach ⋮ A viscosity counteracting approach in the lattice Boltzmann BGK model for low viscosity flow: preliminary verification ⋮ Detailed simulation of complex hydraulic problems with macroscopic and mesoscopic mathematical methods ⋮ A comparison of semi-Lagrangian vortex method and lattice Boltzmann method for incompressible flows ⋮ COMPARING ENTROPIC AND MULTIPLE RELAXATION TIMES LATTICE BOLTZMANN METHODS FOR BLOOD FLOW SIMULATIONS ⋮ Enhancement of the stability of lattice Boltzmann methods by dissipation control ⋮ Non-negativity and stability analyses of lattice Boltzmann method for advection-diffusion equation ⋮ Lattice Boltzmann method with selective viscosity filter

Cites Work

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• Optimization strategies for the entropic lattice Boltzmann method
• H-theorem and origins of instability in thermal lattice Boltzmann models
• Entropy function approach to the lattice Boltzmann method
• Simulation of cavity flow by the lattice Boltzmann method
• Entropic lattice Boltzmann methods
• Lattice BGK Models for Navier-Stokes Equation
• Numerical study of flow past an impulsively started cylinder by the lattice-Boltzmann method
• Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers

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