Academic Catalog

ME785 HIGH-ORDER NUMERICAL METHODS FOR CONSERVATION LAWS

Course Code: 5690785
METU Credit (Theoretical-Laboratory hours/week): 3(3-0)
ECTS Credit: 8.0
Department: Mechanical Engineering
Language of Instruction: English
Level of Study: Graduate
Course Coordinator:
Offered Semester: Fall or Spring Semesters.

Course Content

Introduction to hyperbolic conservation laws. Overview of classic monotone schemes. High-order accuracy. Strong Stability Preserving Time Integration. High-order limiter-based methods. Essentially nonoscillatory (ENO) and Weighted essentially nonoscillatory schemes (WENO). Discontinuous Galerkin (DG) Methods and related formulations. Practical algorithmic aspects for one- and two-dimensional problems on uniform and nonuniform grids. Hands-on programming projects and applications in engineering and physical sciences.