Initial and Boundary Conditions for the Lattice Boltzmann Method
arXiv:comp-gas/9306002 · doi:10.1103/PhysRevE.48.4823
Abstract
A new approach of implementing initial and boundary conditions for the lattice Boltzmann method is presented. The new approach is based on an extended collision operator that uses the gradients of the fluid velocity. The numerical performance of the lattice Boltzmann method is tested on several problems with exact solutions and is also compared to an explicit finite difference projection method. The discretization error of the lattice Boltzmann method decreases quadratically with finer resolution both in space and in time. The roundoff error of the lattice Boltzmann method creates problems unless double precision arithmetic is used.
42 pages in Postscript, with additional 27 Postscript figures Physical Review E, Submitted December 92, Revised June 93
Cited by in corpus (22)
- On pressure and velocity flow boundary conditions and bounceback for the lattice Boltzmann BGK model
- A non-slip boundary condition for lattice Boltzmann simulations
- Lattice-Boltzmann and finite-difference simulations for the permeability for three-dimensional porous media
- Implementation of on-site velocity boundary conditions for D3Q19 lattice Boltzmann
- Sailfish: a flexible multi-GPU implementation of the lattice Boltzmann method
- Shear stress in lattice Boltzmann simulations
- Increasing stability and accuracy of the lattice Boltzmann scheme: recursivity and regularization
- On the accuracy and performance of the lattice Boltzmann method with 64-bit, 32-bit and novel 16-bit number formats
- Analytical solutions of the lattice Boltzmann BGK model
- Impact of collision models on the physical properties and the stability of lattice Boltzmann methods
- Cross-platform programming model for many-core lattice Boltzmann simulations
- Linear stability of athermal regularized lattice Boltzmann methods
- Compressible lattice Boltzmann methods with adaptive velocity stencils: An interpolation-free formulation
- A Lifting Relation from Macroscopic Variables to Mesoscopic Variables in Lattice Boltzmann Method: Derivation, Numerical Assessments and Coupling Computations Validation
- Numerical Stability of Explicit Off-lattice Boltzmann Schemes: A comparative study
- Enhanced single-node boundary condition for the Lattice Boltzmann Method
- Do current lattice Boltzmann methods for diffusion and diffusion-type equations respect maximum principles and the non-negative constraint?
- Advanced Automatic Code Generation for Multiple Relaxation-Time Lattice Boltzmann Methods
- A hybrid multi-time-step framework for pore-scale and continuum-scale modeling of solute transport in porous media
- Power-law scaling of asymmetries in viscous flow with PT-symmetric inflow and outflow
- Accuracy of Discrete-Velocity BGK Models for the Simulation of the Incompressible Navier-Stokes Equations
- A Stability notion for the viscous Shallow Water Discrete-Velocity Boltzmann Equations