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Total computational costs of scientific simulations are analyzed between direct numerical simulations (DNS) and multiphysics simulations (MPS) for sound generation in musical instruments. In order to produce acoustic sound by a turbulent flow in a simple recorder-like instrument, compressible fluid dynamic calculations with a low Mach number are required around the edges and the resonator of the instrument in DNS, while incompressible fluid dynamic calculations coupled with dynamics of sound propagation based on the Lighthill's acoustic analogy are used in MPS. These strategies are evaluated not only from the viewpoint of computational performances but also from the theoretical points of view as tools for scientific simulations of complicated systems.
Details
Fluid dynamics;
Consultants;
Acoustic propagation;
Sound propagation;
Compressible fluids;
Cost analysis;
Mathematical analysis;
Sound generation;
Mach number;
Fluid flow;
Acoustic coupling;
Turbulent flow;
Computational fluid dynamics;
Incompressible flow;
Computer simulation;
Incompressible fluids