Mathematical model for coupling a quasi-unidimensional perfect flow

Details Mathematical model for coupling a quasi-unidimensional perfect flow Mathematical model for coupling a quasi-unidimensional perfect flow

2010-06-15

arxiv.org/abs/1006.2991v1

Mathematics

Numerical Analysis

Scientific paper

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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