LECTURESVideos of Lecture are Posted on MyWPI Immediately Following Lecture! |
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| # | Topic | Date | Work due | ||
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PART I: Introduction and Basic Concepts |
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| 1 | Introduction, what is CFD, examples, computers, course administration, elementary numerical analysis. Slides Online Lecture (but no sound!) | Jan. 21 | . | ||
| 2 | Elementary numerical analysis, integration of ordinary and partial differential equations. Slides Online Lecture | Jan. 26 | . | ||
| . | Introduction to MATLAB (Dr. Hera) Matlab Wiki | Jan. 28 | . | ||
| 3 | Numerical analysis. Finite difference solution of the Navier-Stokes equations in vorticity/streamfunction form. Slides Online Lecture | Feb. 2 | . | ||
| 4 | Finite volume methods. Examples. Slides Online Lecture | Feb. 4 | . | ||
| 5 | Review of fluid mechanics: the governing equations and "types" of flows. Slides Online Lecture Wiki: Fluids Equations | Feb. 9 | HW 1 Project 1 |
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| 6 | FLUENT hands-on session Wiki: Commercial Codes | Feb. 11 | . | ||
PART II: Elements of Numerical Analysis |
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| 7 | Introduction to Partial Differential Equations, elementary numerical analysis. Slides Online Lecture | Feb. 16 | . | ||
| 8 | Numerical Methods for Hyperbolic Equations-1. Slides Online Lecture | Feb. 18 | . | ||
| 9 | Numerical Methods for Hyperbolic Equations-2. Slides Online Lecture | Feb. 23 | . | ||
| 10 | Numerical Methods for Hyperbolic Equations-3. Slides Online Lecture | Feb. 25 | HW 2 | ||
| 11 | Numerical Methods for Parabolic Equations. Slides Online Lecture | March 2 | . | ||
| 12 | Numerical Methods for Elliptic Equations-1. Slides Online Lecture Upwind code 2 | March 4 | Project 2. | ||
| . | NO LECTURE-BREAK | March 9 | . | ||
| . | NO LECTURE-BREAK | March 11 | . | ||
| 13 | Numerical Methods for Elliptic Equations-2. Slides Online Lecture | March 16 | . | ||
| 14 | The Advection-Diffusion Equation. Slides Online Lecture | March 18 | HW 3 | ||
| 15 | Solving the Navier-Stokes equations in primitive variables, the MAC method. Code for PR4 Slides Online Lecture | March 23 | . | ||
| 16 | Solving the Navier-Stokes Equations. Slides Online Lecture | March 25 | . | ||
PART III: Introduction to Advanced Topics |
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| . | Exam. Quiz1-06 Quiz1-07 | March 30 | . | ||
| 17 | Complex Domains, Body Fitted Coordinates. Slides | April 1 | Project 3 | ||
| 18 | Body Fitted Coordinates, Grid Generation. Slides | April 6 | . | ||
| 19 | Introduction to Turbulence. Slides | April 8 | . | ||
| 20 | Multiphase Flow and Combustion. Slides | April 13 | HW 4 | ||
| 21 | DNS of Multiphase Flows-I. Slides | April 15 | . | ||
| 22 | DNS of Multiphase Flows-II. Slides | April 22 | . | ||
| 23 | Other methods for CFD+Parallel Computers. Slides | April 27 | . | ||
| 24 | Summary and Overview. Slides | April 29 | . | ||
| . | Final Exam. Quiz2-06 Quiz2-07 | May 4 | HW 5 Project 4 |
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