Our ability to numerically study the scaling properties of rotating convection is limited by the high cost of direct numerical simulations (DNS). This motivates the exploration of alternatives to DNS which enable faster computation by using reduced models of the full dynamics. Here we explore the use of logarithmic Fourier lattices (LFL) to capture extreme dynamic ranges of spatial scales in Rotating Rayleigh-Benard convection (RRBC) at high Rayleigh and low Ekman numbers. The LFL scheme uses a Fourier series with logarithmically rather than linearly distributed wavenumbers. This scheme exactly captures the dynamics of constant-coefficient linear operators, but approximates nonlinear operators with a finite number of lattice-supported triads. By combining an LFL horizontal discretization with a sparse Chebyshev method in the vertical, we can simulate RRBC at a substantially reduced cost compared to DNS. We will discuss ongoing work to implement efficient mixed LFL-Chebyshev solvers in 2D and 3D, along with results from RRBC simulations in various parameter regimes. We compare these simulations to DNS results and assess their suitability for extrapolation beyond the current capabilities of DNS.
Back to Rotating Turbulence: Interplay and Separability of Bulk and Boundary Dynamics
Copyright. All Rights Reserved.
