This course is designed for students who are interestedin general andadvanced topics inComputational Fluid Dynamics.The coursefocuses onsolvinghyperbolic equations using unwinding scheme. The course includes seven Chapters: 1 Hyperbolic equations, 2 Eigensystem ofcompressible Euler equations, 3 Upwindingscheme, 4 Riemann problem, 5 Numerical flux formulation, 6 Boundary condition, 7 Numerical solution methods.The course will be assessed by homework assignments and exams.