Particles-on-Demand for Kinetic Theory
arXiv:1806.05089 · doi:10.1103/PhysRevLett.121.130602
Abstract
A novel formulation of fluid dynamics as a kinetic theory with tailored, on-demand constructed particles removes any restrictions on Mach number and temperature as compared to its predecessors, the lattice Boltzmann methods and their modifications. In the new kinetic theory, discrete particles are determined by a rigorous limit process which avoids ad hoc assumptions about their velocities. Classical benchmarks for incompressible and compressible flows demonstrate that the proposed discrete-particles kinetic theory opens up an unprecedented wide domain of applications for computational fluid dynamics.
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Cited by in corpus (16)
- Semi-Lagrangian lattice Boltzmann method for compressible flows
- Extended Lattice Boltzmann Model for Gas Dynamics
- Consistent lattice Boltzmann model for multicomponent mixtures
- Compressible lattice Boltzmann methods with adaptive velocity stencils: An interpolation-free formulation
- High-order semi-Lagrangian kinetic scheme for compressible turbulence
- Extended Lattice Boltzmann Model
- Cubature rules for weakly and fully compressible off-lattice Boltzmann methods
- Particles on Demand for flows with strong discontinuities
- Multi-scale semi-Lagrangian lattice Boltzmann method
- Detonation modeling with the Particles on Demand method
- A multiple-relaxation-time collision model by Hermite expansion
- A Novel Velocity Discretization for Lattice Boltzmann Method: Application to Compressible Flow
- Semi-Lagrangian implicit Bhatnagar-Gross-Krook collision model for the finite-volume discrete Boltzmann method
- Multiscale analysis of the particles on demand kinetic model
- A fully conservative discrete velocity Boltzmann solver with parallel adaptive mesh refinement for compressible flows
- Lattice Boltzmann method for fluid-structure interaction in compressible flow