Quantum computing of fluid dynamics using the hydrodynamic Schrödinger equation
Simulating fluid dynamics on a quantum computer is intrinsically difficult due to the nonlinear
and non-Hamiltonian nature of the Navier-Stokes equation (NSE). We propose a framework …
and non-Hamiltonian nature of the Navier-Stokes equation (NSE). We propose a framework …
Role of internal structures within a vortex in helicity dynamics
Helicity, an invariant under ideal-fluid (Euler) evolution, has a topological interpretation in
terms of writhe and twist for a closed vortex tube, but accurately quantifying twist is …
terms of writhe and twist for a closed vortex tube, but accurately quantifying twist is …
Applications of the vortex-surface field to flow visualization, modelling and simulation
We review the progress on the applications of the vortex-surface field (VSF). The VSF
isosurface is a vortex surface consisting of vortex lines. Based on the generalized Helmholtz …
isosurface is a vortex surface consisting of vortex lines. Based on the generalized Helmholtz …
Lagrangian dynamics and regularity of the spin Euler equation
We derive the spin Euler equation for ideal flows by applying the spherical Clebsch
mapping. This equation is based on the spin vector, a unit vector field encoding vortex lines …
mapping. This equation is based on the spin vector, a unit vector field encoding vortex lines …
Weaving classical turbulence with quantum skeleton
Matter entanglement is a common chaotic structure in both quantum and classical systems.
Turbulence can be pictured as a tangle of vortex filaments in superfluids and viscous …
Turbulence can be pictured as a tangle of vortex filaments in superfluids and viscous …