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Mathematical model for coupling a quasi-unidimensional perfect flow with an acoustic boundary layer
Msallam, Régis ; Dubois, François
HAL, hal-00491417 / Harvested from HAL
Text on HAL
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.
Publié le : 2002-06-12
Classification:  finite differences,  fluid mechanics,  nonlinear acoustics,  Euler equations,  boundary layer,  finite differences.,  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] 
@article{hal-00491417,
     author = {Msallam, R\'egis and Dubois, Fran\c cois},
     title = {Mathematical model for coupling a quasi-unidimensional perfect flow with an acoustic boundary layer},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00491417}
}

Msallam, Régis; Dubois, François. Mathematical model for coupling a quasi-unidimensional perfect flow with an acoustic boundary layer. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00491417/