The fully matrix inversion free Artificial Compressibility (AC) Characteristic Based Split (CBS) algorithm has been used by the authors to produce a stable and accurate solution for high Rayleigh numbers natural convection in rectangular cavities. Two benchmark problems are solved by using the AC-CBS scheme: the classical Differentially Heated (DH) cavity, and a cavity subject to temperature boundary conditions on its sides, which is proposed here as a new benchmark for the first time. For the DH cavity problem, the dependence of the solution on the computational grid is highlighted and it is shown how the horizontal velocity is more sensitive than the other calculated quantities. For the newly proposed benchmark, the numerical results are compared to the experimental data that recently appeared in the open literature.
HIGH RAYLEIGH NUMBER LAMINAR-FREE CONVECTION IN CAVITIES: NEW BENCHMARK SOLUTIONS
ARPINO, Fausto;
2010-01-01
Abstract
The fully matrix inversion free Artificial Compressibility (AC) Characteristic Based Split (CBS) algorithm has been used by the authors to produce a stable and accurate solution for high Rayleigh numbers natural convection in rectangular cavities. Two benchmark problems are solved by using the AC-CBS scheme: the classical Differentially Heated (DH) cavity, and a cavity subject to temperature boundary conditions on its sides, which is proposed here as a new benchmark for the first time. For the DH cavity problem, the dependence of the solution on the computational grid is highlighted and it is shown how the horizontal velocity is more sensitive than the other calculated quantities. For the newly proposed benchmark, the numerical results are compared to the experimental data that recently appeared in the open literature.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
