To have the ability of developing numerical analysis program for thermal-hydraulics through the study of conservation equations and numerical solution schemes for thermal-hydraulics phenomena in nuclear engineering field.
To get the ability of program development for thermal-hydraulics in nuclear engineering by learning the finite difference method, the finite volume method, finite element method, solution of conservation equations and complex geomery analysis.
Thermal-hydraulics engineering, Numerical analysis method
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Lectures will be delivered.
Course schedule | Required learning | |
---|---|---|
Class 1 | Introduction: Needs of thermal-hydraulics calculation, Thermal-hydraulics conservation equations, programming/Compiling/Executing | Explain Needs of thermal-hydraulics calculation, Thermal-hydraulics conservation equations, and programming/Compiling/Executing |
Class 2 | Finite difference methods : Discretization methods, Consistency/ Stability/ Convergence/ Conservation | Explain Finite difference methods : Discretization methods, Consistency/ Stability/ Convergence/ Conservation. |
Class 3 | Finite volume methods: Approximation of integrals, Upwind/Linear/QUICK, etc. | Explain Finite volume methods (Approximation of integrals, Upwind/Linear/QUICK, etc.). |
Class 4 | Solution of equation systems: Linear equations, Unsteady problems (Two-level/Runge-Kutta/Explicit/Implicit methods) | Explain solution of equation systems (Linear equations, Unsteady problems (Two-level/Runge-Kutta/Explicit/Implicit methods)). |
Class 5 | Solution of Navier-Stokes equations: Pressure equations, SIMPLE algorithm | Explain Solution of Navier-Stokes equations: Pressure equations, and SIMPLE algorithm. |
Class 6 | Complex geometries: Coordinate transformation, Finite element method | Explain complex geometries (Coordinate transformation, Finite element method). |
Class 7 | Complex geometries: Coordinate transformation, Finite element method (cont'd) | Explain complex geometries (Coordinate transformation, Finite element method (cont'd)). |
Class 8 | Turbulence models: DNS, LES, RANS, Reynolds stress model | Explain turbulence models (DNS, LES, RANS, Reynolds stress model). |
None
Introduced by the lecturer depending on the topic
Judgement of understanding through report of homework for the topics
Fundamental knowledge of mathematical analysis, matrix and determinant and fluid dynamics
Prof. Minoru Takahashi mtakahas[at]lane.iir.titech.ac.jp
Prior appointment is needed.