Total computational costs of scientific simulations are analyzed betweendirect numerical simulations (DNS) and multiphysics simulations (MPS) for soundgeneration in musical instruments. In order to produce acoustic sound by aturbulent flow in a simple recorder-like instrument, compressible fluid dynamiccalculations with a low Mach number are required around the edges and theresonator of the instrument in DNS, while incompressible fluid dynamiccalculations coupled with dynamics of sound propagation based on theLighthill's acoustic analogy are used in MPS. These strategies are evaluatednot only from the viewpoint of computational performances but also from thetheoretical points of view as tools for scientific simulations of complicatedsystems.
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