数値熱流体工学

Lecture 1, delivered by Professor Toimoaki WATAMURA Conservation Laws and Governing Equations of Fluid Flow (Conservation laws, Continuity equation, Navier-Stokes equations, Energy equations, Mathematical properties of these equations) Time integration method: explicit method and implicit method, domain of influence) Lecture 2, delivered by Professor Toimoaki WATAMURA Overviews of Numerical Methods I (Spatial discretization methods: finite difference method ) Lecture 3, delivered by Professor Toimoaki WATAMURA Overviews of Numerical Methods II (modeling errors, truncation error, round-off errors, upwind scheme) Lecture 4, delivered by Professor Toimoaki WATAMURA Overviews of Numerical Methods IIi (multiphase flows, complex fluid) Lecture 5, delivered by Professor Yosuke HASEGAWA Computations of Turbulent Flows I (DNS, LES, DES and RANS: their features and drawbacks) Lecture 6, delivered by Professor Shu TAKAGI Solution Algorithms for Free-surface Flow (Boundary condition and mathematical formulation of free surface, VOF, Level Set, Phase Field, and Front Tracking Methods) Lecture 7, delivered by Professor Yosuke HASEGAWA Computations of Turbulent Flows II (DNS, LES, DES and RANS: their features and drawbacks) Lecture 8, delivered by Professor Yosuke HASEGAWA Design Optimization and Reduced-order Model (Adjoint analysis, Physics-informed Neural Network) Lecture 9 , delivered by Professor Susumu TERAMOTO Solution Algorithms for Compressible Flow I (DNS methods: RRK scheme combined with compact scheme, Shock Capturing Methods; TVE, WENO, DRP, Preconditioning) Lecture 10, delivered by Professor Susumu TERAMOTO Solution Algorithms for Compressible Flow II (continued discussion of Solution Algorithms for Compressible Flow I) Lecture 11, delivered by Professor Anna SCIAZKO Pre-processing, simulation methods, and post-processing for microscale mass transfer I Lecture 12, delivered by Professor Anna SCIAZKO Pre-processing, simulation methods, and post-processing for microscale mass transfer II Final Exam: February 4, 2027

Lectures are given in the class rooom with homework assignments and excersice problems during Lectures

Grade Evaluations: The course grade will be evaluated based on the attendance to the classes and the results of the final examination, which will take place presumably on the closed-notes and closed-textbook basis. The final examination will focus on the fundamentals. Note on the final exam: The exam may also take place on an open-notes and/or open textbook basis. Later in this lecture, the registered students will be notified how to take the final exam in detail. Every year, some students request to submit a report and/or to take the final exam on a different day by claiming that they cannot take the final exam on the designated day due to their presentation in an academic conference coincidently scheduled on the same day as the final exam. However, we cannot consider these requests because, if we did that, it would be difficult to make a fair evaluation of the course grade among all the registered students. If you do not take the final exam, no credit will simply be given for this lecture.

There will be some Homework Assignements.

＜備考＞ All the lectures will be delivered basically in the classroom. The lectures will be delivered basically in English. But, additional explanations will also be given in Japanese when the instructors find it necessary and/or appropriate.