Turbulent flows are characterized by the non-linear cascades of energy and other inviscid
invariants across a huge range of scales, from where they are injected to where they are …

The climate is a forced and dissipative nonlinear system featuring nontrivial dynamics on a
vast range of spatial and temporal scales. The understanding of the climate's structural and …

We present estimates of spectral resolution power for under-resolved turbulent Euler flows
obtained with high-order discontinuous Galerkin (DG) methods. The '1% rule'based on …

This work focuses on the accuracy and stability of high-order nodal discontinuous Galerkin
(DG) methods for under-resolved turbulence computations. In particular we consider the …

We revisit the issue of whether thermal fluctuations are relevant for incompressible fluid
turbulence and estimate the scale at which they become important. As anticipated by …

The zeroth law of turbulence states that, for fixed energy input into large-scale motions, the
statistical steady state of a turbulent system is independent of microphysical dissipation …

This study presents an alternative way to perform large eddy simulation based on a targeted
numerical dissipation introduced by the discretization of the viscous term. It is shown that this …

It is shown that the use of a high power α of the Laplacian in the dissipative term of
hydrodynamical equations leads asymptotically to truncated inviscid conservative dynamics …

Detached-eddy simulation (DES) is a prominent example of a new family of methods that
seek to bridge the gap existing in terms of computational cost and predictive accuracy …

We investigate experimentally three-dimensional (3D) hydrodynamic turbulence at scales
larger than the forcing scale. We manage to perform a scale separation between the forcing …