Mathematical model for coupling a quasi-unidimensional perfect flow

2010/06/15 by Régis Msallam, Msallam, Régis, François Dubois +1
Engineering · Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid dynamics and aerodynamics studies #Numerical Analysis (math.NA) #Scientific Research and Discoveries

paper · pdf · doi:10.48550/arxiv.1006.2991

openalex publication_date 2010/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Nonlinear acoustics of wind instruments conducts to study unidimensional fluid flows. From physically relevant approximations that are modelized with the thin layer Navier Stokes equations, we propose a coupled model where perfect fluid flow is described by the Euler equations of gas dynamics and viscous and thermal boundary layer is modelized by a linear equation. We describe numerical discretization, validate the associated software by comparison with analytical solutions and consider musical application of strongly nonlinear waves in the trombone.

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