Using NEKTON to solve systems of discrete Boltzmann equations
A discrete-velocity-gas (DVG) model of the Boltzmann equation that employs four velocity states has been implemented numerically by using the computational fluid dynamics code NEKTON to solve the DVG species-transport (discrete Boltzmann) equations. The model is applicable to rarefied two-dimensional isothermal flow and is used to simulate flow through a channel. As expected, the velocity profile is found to be uniform for large Knudsen numbers (free molecular flow) and parabolic for small Knudsen numbers (near continuum flow). Since there are no conceptual differences between the four-state model and models employing more velocity states to better represent the Boltzmann equation, implementation of models with more velocity states appear to be straightforward.
- Research Organization:
- Sandia National Labs., Albuquerque, NM (United States)
- Sponsoring Organization:
- DOE; USDOE, Washington, DC (United States)
- DOE Contract Number:
- AC04-76DP00789
- OSTI ID:
- 7114264
- Report Number(s):
- SAND-92-0777C; CONF-9210135--1; ON: DE92018272
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
BOLTZMANN EQUATION
BOUNDARY CONDITIONS
COMPUTER CODES
COMPUTERIZED SIMULATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FLOW MODELS
FLUID FLOW
FLUID MECHANICS
FLUIDS
GAS FLOW
GASES
KNUDSEN FLOW
MATHEMATICAL MODELS
MEAN FREE PATH
MECHANICS
N CODES
NAVIER-STOKES EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION
VELOCITY