Abstract
AbstractA one‐point second‐order Dirichlet boundary condition for convection‐diffusion equation based on the lattice Boltzmann method has been proposed. The unknown temperature distribution is interpolated from the distributions at the wall node and fluid node nearest to the wall in the direction of the lattice velocity. At the wall node, the unknown temperature distribution is expressed as a summation of equilibrium and nonequilibrium distributions. The equilibrium distribution is obtained using the wall temperature, while the nonequilibrium distribution is approximated from the nearest fluid node in the direction of the lattice velocity. Both asymptotic analysis and numerical simulations of heat conduction indicate that the Dirichlet boundary condition is second‐order accurate. Further comparisons demonstrate that the newly proposed boundary method is sufficiently accurate to simulate natural convection, convective and unsteady heat transfer involving straight and curved boundaries.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: International Journal for Numerical Methods in Fluids
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.