Mathematical model for coupling a quasi-unidimensional perfect flow
Numerical Analysis
2010-06-16 v1 Fluid Dynamics
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.
Cite
@article{arxiv.1006.2991,
title = {Mathematical model for coupling a quasi-unidimensional perfect flow},
author = {Régis Msallam and François Dubois},
journal= {arXiv preprint arXiv:1006.2991},
year = {2010}
}