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Course Information

Course Name
Turkish Hesaplamalı Akışkanlar Mekaniği 2015
English Computational Fluid Dynamics 2015
Course Code
UUM 510E Credit Lecture
Semester 2
3 3 - -
Course Language English
Course Coordinator Mehmet Şahin
Course Objectives Due to the recent advances in computer technology, the goal is to teach students the basic computational techniques becoming increasingly common and their implementation to the basic problems of fluid mechanics, to improve their ability to use these techniques and to improve student skills for evaluating new techniques.
Course Description Analytic aspects of partial differential equations; Introduction to finite difference, finite volume and finite element methods; Analysis of numerical methods; Steady convection-diffusion equation; Unsteady convection-diffusion equation; Iterative and direct solution techniques; Governing equations of fluid dynamics; Scalar conservation laws; The Euler equations in one space dimension; Numerical solution of the Euler equaitons in general domains; Unified methods for incompressible and compressible flow computations; Numerical methods for incompressible fluid flows.
Course Outcomes M.Sc./Ph.D. students who successfully pass this course gain knowledge, skill and competency in the following subjects;
1. Understand the type of a PDE and be able to define a well posed problem
2. Learn basic discretization techniques such as FDM, FVM and FEM
3. Be able to use von Neuman stability analysis
4. Understand stability, convergence, accuracy and consistency
5. Understand CFL and cell-Reynolds numbers and their effects to the convection-diffusion equation
6. Learn Newton’s methods
7. Learn how to solve a linear system of equations
8. Learn how to solve the Euler equations in multi-dimension
9. Learn how to solve the incompressible Navier-Stokes equations
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