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Numerical Analysis and Computational Fluid Dynamics Lab
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The lab studies numerical methods for partial differential equations and their errors.
AboutAbout the lab
Evaluating computational errors with mathematics.
Associate Professor Daisuke Tagami's fields are applied mathematics and computational mechanics, and his research focuses on developing numerical methods for partial differential equations, error estimation, and applications to real-world problems.
The lab's subjects include numerical analysis of particle methods, large-scale numerical methods for electromagnetic field problems, viscoelastic flow problems, moving boundary problems, the Navier–Stokes equations, and thermal convection problems.
The lab also studies applications of the Navier–Stokes equations to the numerical computation of drag and lift, and applications of thermal convection problems to the numerical computation of glass melting.
Key terms
- Partial differential equation
- An equation that describes the relationships among quantities that vary with position and time, such as flow, heat, and electromagnetic fields.
- Finite element method
- A computational method that divides the region of interest into small pieces to find approximate solutions of equations.
- Particle method
- A computational method that represents a fluid by the motion of many particles.
- Viscoelasticity
- The property of a fluid that has both viscosity and elasticity.
ResearchResearch themes
The lab studies the development of numerical methods for partial differential equations, error estimation, and applications to real-world problems. Focusing on flow problems, electromagnetic field problems, and others, it mathematically investigates the errors contained in computations.
*Illustrative imageNumerical Analysis of Particle Methods
The lab studies particle methods, a computational technique, from the viewpoint of numerical analysis and mathematically evaluates the errors in the computed results.
*Illustrative imageNumerical Analysis of Viscoelastic Flow Problems
The lab focuses on methods that solve viscoelastic flow problems with the finite element method and mathematically investigates the errors in the computation.
*Illustrative imageThermal Convection Problems and Application to Glass Melting Furnaces
The lab mathematically investigates the errors of methods that solve thermal convection problems with the finite element method, and works on applying them to the numerical computation of glass melting furnaces.
*Illustrative imageLarge-Scale Numerical Computation for Electromagnetic Field Problems
For electromagnetic field problems, the lab has built highly efficient large-scale numerical methods using the domain decomposition method and the finite element method, and also investigates their errors.
MembersFaculty
- Associate ProfessorDaisuke Tagami
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: “Biomechanics-Femur-Fracture-Nail-Internal Fixation-CAD-FEM” Fry72 Karel Frydrýšek, Tomáš Halo, Daniel Čepica / CC BY-SA 4.0 (cropped)
- Numerical Analysis of Particle Methods: “CMS Higgs-event” Lucas Taylor / CERN / CC BY-SA 3.0 (cropped)
- Numerical Analysis of Viscoelastic Flow Problems: “Painting with non-newtonian fluid” ElisaG87 / CC BY 4.0 (cropped)
- Thermal Convection Problems and Application to Glass Melting Furnaces: “Convection (SimScale)” SimScale GmbH / CC BY-SA 4.0 (cropped)
- Large-Scale Numerical Computation for Electromagnetic Field Problems: “GM Revs up Diesel Combustion Modeling on Titan Supercomputer” OLCF / CC BY 2.0 (cropped)
- Related lab (Numerical Analysis and Computational Fluid Dynamics Lab): “AbsoluteErrorNumericalDifferentiationExample” Berland / Public domain (cropped)
- Related lab (〈Dynamical Systems / Verified Numerical Computation〉): “FitzHugh-Nagumo Model” Cosmia Nebula / CC BY-SA 4.0 (cropped)
- Related lab (Dynamical Systems and Verified Numerical Computation Lab (Kaname Matsue)): “Flow and orbit of vector field (dynamical system)” Yapparina / CC0 (cropped)
- Related lab (Machine Learning and Explainable AI Lab): “Unsupervised-Learning” Rakshath / CC BY-SA 4.0 (cropped)
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