Tensor networks enable the calculation of turbulence probability distributions
Science Advances, Vol 11, Issue 5, 2025
Abstract:
Tensor networks enable the calculation of turbulence probability distributions
(2024)
A quantum-inspired approach to exploit turbulence structures
Nature Computational Science Springer Nature 2:2022 (2022) 30-37
Abstract:
Understanding turbulence is key to our comprehension of many natural and technological flow processes. At the heart of this phenomenon lies its intricate multiscale nature, describing the coupling between different-sized eddies in space and time. Here we analyze the structure of turbulent flows by quantifying correlations between different length scales using methods inspired from quantum many-body physics. We present the results for interscale correlations of two paradigmatic flow examples, and use these insights along with tensor network theory to design a structure-resolving algorithm for simulating turbulent flows. With this algorithm, we find that the incompressible Navier–Stokes equations can be accurately solved even when reducing the number of parameters required to represent the velocity field by more than one order of magnitude compared to direct numerical simulation. Our quantum-inspired approach provides a pathway towards conducting computational fluid dynamics on quantum computers.
A quantum-inspired approach to exploit turbulence structures
Nature Computational Science
Abstract:
A Quantum Inspired Approach to Exploit Turbulence Structures
(2021)