New Cascaded Thermal Lattice Boltzmann Method for simulations of advection-diffusion and convective heat transfer

摘要: Abstract A Cascaded Thermal Lattice Boltzmann Method (CTLBM) is presented for efficient simulations of fluid flow and heat transfer problems. Contrary to the Bhatnagar-Gross-Krook Single Relaxation Time (BGK-SRT or just BGK) Multiple Times (MRT) methods LBM used thermal problems, proposed CTLBM improves Galilean invariancy method. The cascaded collision scheme was proved increase stability in case flow. Here we prove enhanced accuracy problems by comparing our results traditional BGK MRT lattice methods. numerical employs D 2 Q 9 model 5 temperature study advection diffusion sine wave forced convection phenomena cooling a cylinder with heated core. To validate scheme, compare exact solutions advection-diffusion 1D system Peclet numbers between 102 106. We also present comparisons two widely several resolutions. For 2D case, validation show even moderate resolutions, across row hot tubes double shear layer are faster strong agreements those available literature. clearly evident results. Therefore, that possesses higher good computation speed when compared other LBMs.