Academic Catalog

ME703 MATHEMATICAL MODELING IN THERMO-FLUID SCIENCES

Course Code: 5690703
METU Credit (Theoretical-Laboratory hours/week): 3(3-0)
ECTS Credit: 8.0
Department: Mechanical Engineering
Language of Instruction: English
Level of Study: Masters
Course Coordinator: Prof.Dr. MEHMET KAZIM AKYZL
Offered Semester: Fall or Spring Semesters.

Course Content

Types of mathematical models. Principles of continuum mechanics. Types of mathematical formulation. Rules for developing physical and mathematical models. Review of solution methods: analytical and numerical. Discussion of issues such as: uniqueness and exactness; accuracy, convergence, and error analysis; benchmarking and validation. Modeling of two domains with common interface. Modeling of domains with moving boundaries. Review of physics based mathematical models for various phenomena such as: turbulence and combustion. Examples of single and multi-domain (comprehensive) models in thermal and fluid sciences. Parametric study by numerical simulations.