Torres, Juan F.Henry, DanielKomiya, AtsukiMaruyama, Shigenao2026-07-032026-07-031539-3755ORCID:/0000-0002-3054-8638/work/219172781https://hdl.handle.net/1885/733812453The transition from the complex Rayleigh-Bénard convection to the simple heated-from-the-sides configuration in a cubical cavity filled with a Newtonian fluid is numerically studied. The cavity is tilted by an angle θ around its lower horizontal edge and is heated and cooled from two opposite tilted sides. We first analyze the effect of a marginal inclination angle on quasi-Rayleigh-Bénard convection (θ≈0), which is a realistic physical approximation to the ideal Rayleigh-Bénard convection. We then yield the critical angles where multiple solutions that were initially found for θ≈0 disappear, eventually resulting in the single steady roll solution found in the heated-from-the-sides configuration (θ=90). We confirm the existence of critical angles during the transition θ:0→90, and we demonstrate that such angles are a consequence of either singularities or collisions of bifurcation points in the Rayleigh-number-θ parameter space. We finally derive the most important critical angles corresponding to any Newtonian fluid of Prandtl number greater than that of air.enPublisher Copyright: © 2015 American Physical Society.2015-08-2810.1103/PhysRevE.92.02303184940824578