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Applied Mathematical Sciences Lab
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The lab approaches flows that theory cannot explain by starting from collections of particles.
AboutAbout the lab
Building the mechanics of flows far from equilibrium
The Applied Mathematical Sciences Lab studies the behavior of fluids that depart from local equilibrium from a mesoscopic standpoint.
Focusing mainly on gas flows, the lab looks at nonequilibrium fluid phenomena that cannot be explained within the framework of conventional continuum theory alone.
Through theoretical analysis and numerical simulation of kinetic equations, which describe collections of particles statistically, the lab aims to open up a new world of fluid dynamics.
Key terms
- Mesoscopic
- A viewpoint at a scale between the small world of atoms and molecules (micro) and the large, visible world (macro)
- Kinetic equation
- An equation describing how the velocity distribution of a large number of particles changes over time
- Continuum
- An approach that treats fluids and solids not as collections of particles but as continuous matter with no gaps
ResearchResearch themes
The lab studies the behavior of fluids that depart from local equilibrium from a mesoscopic standpoint, aiming to build a new fluid dynamics that goes beyond conventional continuum theory.
*Illustrative imageLinking the meso and macro scales
The lab investigates how macroscopic mechanical and thermodynamic behavior is determined by mesoscale information, and conversely how macroscopic information affects mesoscale phenomena.
*Illustrative imageBuilding nonequilibrium fluid dynamics
By understanding the link between the meso and macro scales, the lab is building a new macroscopic fluid dynamics that goes beyond the scope of conventional continuum theory.
*Illustrative imageProperties of particles in flows
The lab studies the mechanical and thermodynamic properties of particle systems that interact with a fluid, including their elementary processes. In addition to theoretical work, it also conducts experimental research.
MembersFaculty
The lab's faculty are Professor Satoshi Taguchi and Assistant Professor Takuma Tomita.
- ProfessorSatoshi Taguchi
- Assistant ProfessorTakuma Tomita
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Multiphase Flow Stirred Reactor” SimScale GmbH / CC BY-SA 4.0 (cropped)
- Linking the meso and macro scales: “Sampling in Monte Carlo and molecular dynamics” Qx8314 / CC BY 4.0 (cropped)
- Building nonequilibrium fluid dynamics: “FLOW VISUALIZATION - NARA - 17426987” 作者不詳 / Public domain (cropped)
- Properties of particles in flows: “Portrait of Global Aerosols” William Putman, NASA/Goddard / Public domain (cropped)
- Related lab (Supercomputing Lab): “End-of-life” Dennis van Zuijlekom / CC BY-SA 2.0 (cropped)
- Related lab (Coexistence Design Lab): “Itodenwa” Los688 / Public domain (cropped)
- Related lab (Computer Software Lab): “Source code in Javascript” Romainhk / CC BY-SA 3.0 (cropped)
- Related lab (Intelligent Computing Lab): “Water Dolphin” JJ Harrison (https://www.jjharrison.com.au/) / CC BY-SA 3.0 (cropped)
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