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Title: Effects of tangential-type boundary condition discontinuities on the accuracy of the lattice Boltzmann method for heat and mass transfer

Journal Article · · Physical Review E

Sponsoring Organization:
USDOE
Grant/Contract Number:
AR0000184
OSTI ID:
1288994
Journal Information:
Physical Review E, Journal Name: Physical Review E Vol. 94 Journal Issue: 2; ISSN 2470-0045
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

References (29)

An efficient finite element method for treating singularities in Laplace's equation journal October 1991
Convection-Diffusion Lattice Boltzmann Scheme for Irregular Lattices journal May 2000
Local second-order boundary methods for lattice Boltzmann models journal September 1996
A multi-relaxation lattice kinetic method for passive scalar diffusion journal July 2005
Theory of the lattice Boltzmann method: Acoustic and thermal properties in two and three dimensions journal September 2003
Mesoscopic predictions of the effective thermal conductivity for microscale random porous media journal March 2007
Thermal lattice Boltzmann equation for low Mach number flows: Decoupling model journal March 2007
A lattice Boltzmann algorithm for fluid–solid conjugate heat transfer journal March 2007
Lattice Boltzmann method for conjugate heat and mass transfer with interfacial jump conditions journal September 2015
Lattice Boltzmann model for the convection-diffusion equation journal June 2013
Boundary conditions for thermal lattice Boltzmann equation method journal March 2013
A Novel Thermal Model for the Lattice Boltzmann Method in Incompressible Limit journal October 1998
Generic boundary conditions for lattice Boltzmann models and their application to advection and anisotropic dispersion equations journal November 2005
Lattice Boltzmann thermohydrodynamics journal April 1993
Optimal Stability of Advection-Diffusion Lattice Boltzmann Models with Two Relaxation Times for Positive/Negative Equilibrium journal April 2010
Double MRT thermal lattice Boltzmann method for simulating convective flows journal July 2010
Heat Transfer Evaluation on Curved Boundaries in Thermal Lattice Boltzmann Equation Method journal October 2013
Lattice Boltzmann method with two relaxation times for advection–diffusion equation: Third order analysis and stability analysis journal August 2008
Thermal lattice Bhatnagar-Gross-Krook model without nonlinear deviations in macrodynamic equations journal October 1994
Lattice Bhatnagar-Gross-Krook models for miscible fluids journal June 1993
Boundary condition at a two-phase interface in the lattice Boltzmann method for the convection-diffusion equation journal July 2014
Lattice Boltzmann simulations of thermal convective flows in two dimensions journal January 2013
Model order reduction for meshfree solution of Poisson singularity problems
  • Chen, Jiun‐Shyan; Marodon, Camille; Hu, Hsin‐Yun
  • International Journal for Numerical Methods in Engineering, Vol. 102, Issue 5 https://doi.org/10.1002/nme.4743
journal August 2014
Conjugate heat and mass transfer in the lattice Boltzmann equation method journal April 2014
Multiple-relaxation-time lattice Boltzmann model for the axisymmetric convection diffusion equation journal December 2013
Multiple-relaxation-time lattice Boltzmann model for the convection and anisotropic diffusion equation journal October 2010
Multiple anisotropic collisions for advection–diffusion Lattice Boltzmann schemes journal January 2013
Lattice Boltzmann model for nonlinear convection-diffusion equations journal January 2009
Viscosity independent numerical errors for Lattice Boltzmann models: From recurrence equations to “magic” collision numbers journal September 2009

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