Concentration and cavitation in the Euler equations for nonisentropic fluids with ideal polytropic dusty gas

Yu Zhang, Chunwang Yan and Yanyan Zhang

Chaos, Solitons & Fractals, 2025, vol. 199, issue P1

Abstract: The phenomena of concentration and cavitation in fluid dynamics have long been a subject of significant interest from both mathematical and physical perspectives. While extensive research has been conducted for isentropic fluids and nonisentropic flows with ideal gases, relatively few studies have addressed nonisentropic fluids involving non-ideal gases. Thus, this work studies the Riemann problem for nonisentropic Euler flows with an ideal polytropic dusty gas — a key non-ideal gas — analyzing concentration and cavitation mechanisms in detail. The results demonstrate that concentration and cavitation necessarily arise when the pressure perturbation parameter and the specific density of solid particles simultaneously approach zero. Theoretical analysis is further validated through numerical simulations.

Keywords: Delta shock wave; Riemann problem; Euler equations for nonisentropic fluids; Vanishing pressure limit; Dusty gas; Numerical simulation (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:199:y:2025:i:p1:s0960077925006332

DOI: 10.1016/j.chaos.2025.116620

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