METU Mechanical Engineering Department ME 705 CFD for Incompressible Flows Fall 2014 (Dr. Sert) Outline This course will teach you the numerical techniques that are used to simulate incompressible flows and related phenomena. Emphasis will be given to Finite Difference and Finite Volume Methods. Following is a list of the topics that are planned to be covered. The list is subject to change.  Equations of interest  Derivation of conservation equations  Generic conservation law for an advecting  Techniques for the solution of incompressible and diffusing variable.  Various levels of simplifications of N-S equations  Elliptic, parabolic and hyperbolic PDEs Introduction to CFD  Mathematical modeling  Domain discretization, mesh types  Equation discretization, FDM, FVM, FEM  Concepts of consistency, stability, convergence, conservativeness, accuracy Finite Difference Method  Discretization schemes in space (centered, upwind, explicit, implicit, etc.)  Solution of 1D and 2D model PDEs Finite Volume Method  Discretization schemes in space and time  Solution of 1D and 2D model PDEs Solving linear algebraic equation systems  Direct and iterative techniques  Multigrid acceleration  Solution of nonlinear equations Unsteady problems flows  Staggered and colocated grid arrangements  Stream function – vorticity formulation  Primitive variable formulations (Pressure correction, projection/fractional step, etc.)  Complex geometries  Space discretization on multi domain structured, non-Cartesian structured and unstructured grids  Basics of 2D mesh generation  Turbulence modeling  Reynolds stress and the turbulence closure problem  RANS modeling  LES and DNS  Remaining topics  Numerical uncertainty, validation and verification  Parallel computing  Solution based adaptation  Particle based (Lagrangian) solution techniques       Explicit and implicit time discretization  Stability Prerequisites    ME 305 + ME 306 or similar introductory level fluid mechanics courses. ME 310 or a similar introductory level numerical methods course. ME 517 or a similar advanced level fluid mechanics course (can be taken together with this one) Instructor Dr. Cüneyt Sert Lecture Hours Tuesday 13:40 - 16:30 @ G-102 Web Site http://www.me.metu.edu.tr/courses/me705 Office: G-309 Phone: 210 2552 Email: [email protected] 1/2 Reference Material Computational Methods for Fluid Dynamics J. H. Ferziger, M. Peric An Introduction to Computational Fluid Dynamics - The Finite Volume Method Computational Fluid Mechanics and Heat Transfer Computational Techniques for Fluid Dynamics QA911 .F434 H. K. Versteeg, W. Malalasekera QA911 .V47 R. H. Pletcher, J. C. Tannehill, D. A. Anderson QA901 .A53 C. A. J. Fletcher QC151 .F58 Computational Fluid Dynamics T. J. Chung QA911 .C47 Numerical Heat Transfer and Fluid Flow S. V. Patankar QC320 .P37 Essential Computational Fluid Dynamics O. Zikanov QA911 .Z55 Principles of Computational Fluid Dynamics J. Wesseling QA911 .W35 You may also find the following lecture notes/videos of similar courses useful     Dr. Barba’s CFD Lecture Videos: http://www.youtube.com/user/lorenabarba/playlists Dr. Tryggvason’s CFD Lecture Videos and Slides: http://www3.nd.edu/~gtryggva/CFD-Course Dr. Chakraborty’s CFD Lecture Videos: http://nptel.ac.in/courses/112105045 Dr. Bakker’s CFD Lecture Videos: http://www.bakker.org/dartmouth06/engs150 Homework Homework will include classical paper & pencil solutions, code development with MATLAB, using already available MATLAB codes to solve new problems and reading assignments from reference books. Final Exam Final exam will be of classical paper and pencil type with closed books/notes. Grading Homework and final exam will contribute to your overall grade. But their percentages will be determined at the end of the semester. Use of MATLAB MATLAB will be used as the programming tool. You are expected to learn how to use it early in the semester. I’ll try to help you with this by distributing sample codes. Communication An email list with the address [email protected] will be used for communication purposes. All of us will be a member of the list. An email sent by any member will reach to all of us. You are encouraged to discuss the homework questions and other course related subjects on this list. You can visit me at my office or send me an email about anything related to the course or personal issues that affect your course performance. When you send me an email you need to put "ME 705" somewhere in the subject line so that your email will not go to a wrong folder or marked as spam. 2/2