Matrix lattice Boltzmann reloaded
Copyright policy )Matrix lattice Boltzmann reloaded
The lattice Boltzmann equation was introduced about 20 years ago as a new paradigm for computational fluid dynamics. In this paper, we revisit the main formulation of the lattice Boltzmann collision integral (matrix model) and introduce a new two-parametric family of collision operators, which permits us to combine enhanced stability and accuracy of matrix models with the outstanding simplicity of the most popular single-relaxation time schemes. The option of the revised lattice Boltzmann equation is demonstrated through numerical simulations of a three-dimensional lid-driven cavity.
- University of Southampton United Kingdom
- ETH Zurich Switzerland
- National Research Council Romania
- National Research Council Italy
- University of Freiburg Germany
General Mathematics, Navier-Stokes equations for incompressible viscous fluids, General Engineering, General Physics and Astronomy, computational fluid dynamics, 530, Lattice Boltzmann, 510, Navier-Stokes equation, lattice Boltzmann method, Particle methods and lattice-gas methods, Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs
General Mathematics, Navier-Stokes equations for incompressible viscous fluids, General Engineering, General Physics and Astronomy, computational fluid dynamics, 530, Lattice Boltzmann, 510, Navier-Stokes equation, lattice Boltzmann method, Particle methods and lattice-gas methods, Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs
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