Quantum turbulence simulations using the Gross-Pitaevskii equation: high-performance computing and new numerical benchmarks

03/07/2020
by   Michikazu Kobayashi, et al.
0

This paper is concerned with the numerical investigation of Quantum Turbulence (QT) described by the Gross-Pitaevskii (GP) equation. Numerical simulations are performed using a parallel (MPI-OpenMP) code based on a pseudo-spectral spatial discretization and second order splitting for the time integration. We start by revisiting (in the framework of high-performance/high-accuracy computations) well-known GP-QT settings, based on the analogy with classical vortical flows: Taylor-Green (TG) vortices and Arnold-Beltrami-Childress (ABC) flow. Two new settings are suggested to build the initial condition for the QT simulation. They are based on the direct manipulation of the wave function by generating a smoothed random phase (SRP) field, or seeding random vortex rings (RVR) pairs. The new initial conditions have the advantage to be simpler to implement than the TG and ABC approaches, while generating statistically equivalent QT fields. Each of these four GP-QT settings is described in detail by defining corresponding benchmarks that could be used to validate/calibrate new GP codes. We offer a comprehensive description of the numerical and physical parameters of each benchmark. We analyze the results in detail and present values, spectra and structure functions of main quantities of interest (energy, helicity, etc.) that are useful to describe the turbulent flow. Some general features of QT are identified, despite the variety of initial states.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 30

page 33

09/01/2021

Analysis of pseudo-spectral methods used for numerical simulation of turbulence

Global spectral analysis (GSA) is used as a tool to test the accuracy of...
05/19/2020

Numerical Simulations of Electrohydrodynamics flow model based on Burgers' Equation with Transport of Bubbles

In this paper we present numerical models for electrodynamical flows wit...
06/09/2020

A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions

The present work proposes a second-order time splitting scheme for a lin...
04/26/2019

Shall numerical astrophysics step into the era of Exascale computing?

High performance computing numerical simulations are today one of the mo...
03/19/2020

Strong Scaling of Numerical Solver for Supersonic Jet Flow Configuration

Acoustics loads are rocket design constraints which push researches and ...
03/18/2020

On the scalability of CFD tool for supersonic jet flow configurations

New regulations are imposing noise emissions limitations for the aviatio...
05/14/2020

Efficacy of the FDA nozzle benchmark and the lattice Boltzmann method for the analysis of biomedical flows in transitional regime

Flows through medical devices as well as in anatomical vessels despite b...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.