An extended Chebyshev pseudo‐spectral benchmark for the 8:1 differentially heated cavity

Our contribution to the benchmark is multifold. In addition to providing accurate unsteady simulations at the required Ra value of 3.4 x 10 5 , we determine accurately the three first critical bifurcation points, investigate the supercritical regime, and study the differences between time-averaged solutions and the corresponding base solution at Ra = 4 × 10 5 . We thereby establish the existence of, at least, 4 different branches of solutions and of 3 multiple unsteady periodic solutions for a Rayleigh value of 4 × 10 5 . First appearance of quasi-periodic flow is found at Ra about 5.0 x 10 5 and first appearance of chaotic solutions is found for 5.5 x 10 5 approximately. We investigate the differences between time-averaged solutions and the corresponding base flow solution at Ra = 4 x 10 5

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