Research analyzes the flow of air and the diffusion phenomenon of smoke by the numerical simulation, and makes it apply to the management problem that the enterprise of best arrangements. The flow of water and the air of our surroundings can be clarified by the partial differential equation that is called the mathematical principle models of the mass preservation rule, the momentum preservation rule, and the principle of conservation of energy. 
For example size and shape are changed one by one, and a musical keyboard percussion instrument is made. And the whole is completed while tuning. But effort also costs a lot of money time for that. So using a computer, when doing a sound analysis, before making a production, a scale and a frequency response are understood.And the operability and designability can do more most suitable product designs from the various angles besides the sound engineering.
The following example is temperature distribution (animation) when the air conditioner is indoors hot put. The particle of 0 in mass flew to see how the flow of air became it and animation under the temperature distribution was made visible. Animation can be inspected by pushing a lower in each figure triangular reproduction button.
There is a balloon entrance in upper right, and the exhaust opening is set up on the left. The efficiency of the air conditioning changes by this balloon entrance and the arrangement place in the exhaust opening. It can be expected to contribute to the conservation of energy and the electric power greatly by not a large-scale equipment it with an extra ability by doing this best arrangement but the introduction of the equipment the small size easily. If it is a numerical simulation, even degrees of a variety of movements of the place in the inspiratory port and the exhaust opening of an actual room how many can be easily changed at once though it is a very serious, costly thing.
Next example is a numerical simulation result of propagation of sound.It can be applied to the acoustic analysis in the air. Strength of the sound is made height here, it makes to visible, and how the sound is transmitted in air is shown.
This calculation example sets the wall that reflects the sound like concrete right and backward, and forward and the left side are situations without reflecting barriers. The phenomenon with which it interferes in the complexity can be confirmed by reflecting in the wall with two sounds.
References
・Three Dimensional Eigenvalues Analysis by Finite Element Method of Keyboad for Gamelan, Harasawa, Shiokawa and Toyotani, Reports of the 2017 Autumn Meeting the Acoustical Society of Japan, 1-9-1, 2017
・Three Dimensional Eigenvalues Analysis by Finite Element Method of Keyboad for Gamelan, Harasawa, Shiokawa and Toyotani, Reports of the 2017 Autumn Meeting the Acoustical Society of Japan, 1-9-1, 2017
・Three Dimensional Acoustic Analysis of End Reflection Loss of Duct by Pulse Sound Source, Yahagi, Shiokawa and Toyotani, Reports of the 2016 Autumn Meeting the Acoustical Society of Japan, 2-10-4, 2016
Hyperbolic-typeWeighting Functions,K. Kakuda, Y. Hayashi and J. Toyotani, CMES: Computer Modeling in Engineering & Sciences , 103/ 4, pp.215-227, 2014
・Dam-breaking Flow Simulations by Particle-based Scheme Using Logarithmic Weighting Function , K. Kakuda, K. Tochikubo and J. Toyotani, Computer Modeling in Engineering & Sciences, 95/ 5, pp.351-367, 2013
・Particle-based Fluid Flow Simulations on GPGPU Using CUDA, Kazuhiko Kakuda, Tsuhoki Nagashima, Yuki Hayashi, Shunsuke Obara, Jun Toyotani, Nobuya Katsurada, Shunji Higuchi and Shohei Matsuda, Computer Modeling in Engineering & Sciences, 83/ 1, pp.57-72, 2012
・Fluid Flow Simulation Using Particle Method and Its Physics-based Computer Graphics, Kazuhiko Kakuda/Shunsuke Obara/Jun Toyotani/Mitsuhiko Meguro/Masakazu Furuichi, Computer Modeling in Engineering & Sciences, 88/ 1, pp.17-28, 2012
・Flow Simulations in a Liquid Ring Pump Using a Particle Method, K.Kakuda,Y.Ushiyama,S.Obara,J.Toyotani,S.Matsuda,H.Tanaka,K.Katagiri, Computer Modeling in Engineering & Sciences 66/3, pp.215-226, 2010
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