Linear hydrodynamics and stability of the discrete velocity Boltzmann equations
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Publication:5114279
DOI10.1017/jfm.2020.374zbMath1460.76684OpenAlexW3036190228MaRDI QIDQ5114279
Gauthier Wissocq, Pierre-Alexandre Masset
Publication date: 22 June 2020
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/jfm.2020.374
Navier-Stokes equations for incompressible viscous fluids (76D05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Particle methods and lattice-gas methods (76M28)
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Cites Work
- Unnamed Item
- Unnamed Item
- Linearized stability analysis of two-dimension Burnett equations
- A multispeed discrete Boltzmann model for transcritical 2D shallow water flows
- Stability analysis of lattice Boltzmann methods
- The cumulant lattice Boltzmann equation in three dimensions: theory and validation
- An extended spectral analysis of the lattice Boltzmann method: modal interactions and stability issues
- Hybrid recursive regularized thermal lattice Boltzmann model for high subsonic compressible flows
- Stabilization of thermal lattice Boltzmann models
- Lattice Boltzmann method with regularized pre-collision distribution functions
- Lattice BGK Models for Navier-Stokes Equation
- Multiple–relaxation–time lattice Boltzmann models in three dimensions
- Hilbert’s sixth problem and the failure of the Boltzmann to Euler limit
- Boltzmann equation and hydrodynamics beyond Navier–Stokes
- Hilbert’s sixth problem: the endless road to rigour
- Hilbert’s 6th Problem: exact and approximate hydrodynamic manifolds for kinetic equations
- A Stability Notion for Lattice Boltzmann Equations
- Kinetic theory representation of hydrodynamics: a way beyond the Navier–Stokes equation
- Statistical Thermodynamics
- Note on N‐dimensional hermite polynomials
- On the kinetic theory of rarefied gases
- A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems