1997
DOI: 10.1142/s0129183197000576
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Digital Physics Approach to Computational Fluid Dynamics: Some Basic Theoretical Features

Abstract: We present an outline description of some fundamental theoretical properties in the Digital Physics lattice-gas algorithm.

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Cited by 194 publications
(117 citation statements)
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“…The lattice Boltzmann model (LBM) can be derived from the velocity space discretization of the general Boltzmann equation, and it recovers the full unsteady Navier-Stokes equations. [11][12][13][14] The lattice Boltzmann equation can be solved in a DNS mode, where all of the turbulent scales are spatially and temporally resolved. However, for most engineering problems at high Reynolds numbers, the simulations are usually conducted in conjunction with a hybrid turbulence modeling approach where the small scales are modeled using a modified two-equations k − turbulence model and larger energy containing scales are directly resolved.…”
Section: Simulation Methodsmentioning
confidence: 99%
“…The lattice Boltzmann model (LBM) can be derived from the velocity space discretization of the general Boltzmann equation, and it recovers the full unsteady Navier-Stokes equations. [11][12][13][14] The lattice Boltzmann equation can be solved in a DNS mode, where all of the turbulent scales are spatially and temporally resolved. However, for most engineering problems at high Reynolds numbers, the simulations are usually conducted in conjunction with a hybrid turbulence modeling approach where the small scales are modeled using a modified two-equations k − turbulence model and larger energy containing scales are directly resolved.…”
Section: Simulation Methodsmentioning
confidence: 99%
“…Results are presented in physical units after conversion from "lattice" units and the proportionality constant, α, in (2) was chosen to match experimental results for each molecule (from Appendix A of [2]). There is excellent agreement between the two developed approaches and semi-empirical theory for all molecules over the allowed temperature range (nominally a factor of two in absolute units for this three-speed discrete system [9,11]). This validated the implementation of the VHS model within this new discrete computational framework.…”
Section: Simulation Resultsmentioning
confidence: 99%
“…Further background details on the application and results of the Chapman-Enskog analysis leading to the recovery of the Navier-Stokes equations for this system may be found in [11], which may be straightforwardly extended for the generalized LBM system (1) used here.…”
Section: Lattice Boltzmann Methodsmentioning
confidence: 99%
“…Digital Physics is a hybrid of "lattice-gas" [4][5][6][7] and "lattice-Boltzmann" [3,8] methods. It solves the Boltzmann transport equation discretely on a regular cubic grid by moving and colliding statistical distributions of particles using the correct microscopic physics.…”
Section: Methodsmentioning
confidence: 99%