Casimir preserving spectrum of two-dimensional turbulence
Övrig text i vetenskaplig tidskrift, 2022

We present predictions of the energy spectrum of forced two-dimensional turbulence obtained by employing a structure-preserving integrator. In particular, we construct a finite-mode approximation of the Navier-Stokes equations on the unit sphere, which, in the limit of vanishing viscosity, preserves the Lie-Poisson structure. As a result, integrated powers of vorticity are conserved in the inviscid limit. We obtain robust evidence for the existence of the double energy cascade, including the formation of the -3 scaling of the inertial range of the direct cascade. We show that this can be achieved at modest resolutions compared to those required by traditional numerical methods.

Författare

Paolo Cifani

Gran Sasso Science Institute (GSSI)

Universiteit Twente

Milo Viviani

Scuola Normale Superiore di Pisa

Erwin Luesink

Universiteit Twente

Klas Modin

Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik

Bernard J. Geurts

Technische Universiteit Eindhoven

Universiteit Twente

Physical Review Fluids

2469990X (eISSN)

Vol. 7 8 L082601

Ämneskategorier

Teknisk mekanik

Beräkningsmatematik

Annan fysik

DOI

10.1103/PhysRevFluids.7.L082601

Mer information

Senast uppdaterat

2022-10-10