Supersonic Flow Past an Obstacle in a Quasi-Two-Dimensional Lee-Huang-Yang Quantum Fluid

TL;DR

This paper studies wave excitations, including linear radiation and oblique dark solitons, generated by supersonic flow past an obstacle in a Lee-Huang-Yang quantum fluid, combining analytical and numerical methods.

Contribution

It provides analytical descriptions of wave phenomena in a Lee-Huang-Yang quantum fluid and validates these with numerical simulations, extending understanding of quantum fluid dynamics.

Findings

Linear radiation wave crests are accurately described by modified Kelvin theory.

Oblique dark solitons are analytically derived from 1D solutions in the obstacle's frame.

Analytical predictions agree well with numerical simulations.

Abstract

A supersonic flow past an obstacle can generate a rich variety of wave excitations. This paper investigates, both analytically and numerically, two types of excitations generated by the flow of a Lee-Huang-Yang quantum fluid past an obstacle: linear radiation and oblique dark solitons. We show that wave crests of linear radiation can be accurately described by the proper modification of the Kelvin original theory, while the oblique dark soliton solution is obtained analytically by transformation of the 1D soliton solution to the obstacle's reference frame. A comparison between analytical predictions and numerical simulations demonstrates good agreement, validating our theoretical approach.