We study the dynamics of thermal and momentum boundary regions in three-dimensional direct numerical simulations of Rayleigh–Bénard convection for the Rayleigh-number range 10^5 ≤ Ra ≤ 10^11 and Pr = 0.7. Using a Cartesian slab with horizontal periodic boundary conditions and an aspect ratio of 4, we…
Two quantum algorithms are presented for the numerical solution of a linear one-dimensional advection-diffusion equation with periodic boundary conditions. Their accuracy and performance with increasing qubit number are compared point-by-point with each other. Specifically, we solve the linear partial…
Horizontally extended turbulent convection, termed mesoscale convection in natural systems, remains a challenge to investigate in both experiments and simulations. This is particularly so for very low molecular Prandtl numbers, such as occur in stellar convection and in the Earth's outer core. The present…
Using direct numerical simulations of isotropic turbulence in periodic cubes of several grid sizes, the largest being 81923 yielding a microscale Reynolds number of 1300, we study the properties of pressure Laplacian to understand differences in the inertial range scaling of enstrophy density and energy…