Derive and Explain Governing Equations: Students will be able to derive the governing equations for mass, momentum, and energy conservation, and explain their physical significance and appropriate boundary conditions

Classify PDEs and Select Numerical Strategies: Students will be able to classify partial differential equations (PDEs) into hyperbolic, parabolic, or elliptic types based on their mathematical behaviors and select the corresponding numerical solution strategies.

Apply Finite-Difference Methods and Analyze Stability: Students will be able to apply the finite-difference method to discretize mathematical models and analyze the associated truncation errors and numerical stability of explicit and implicit approaches.

Develop Computer Codes for Flow Simulation: Students will be able to write computer codes to implement specific CFD techniques (such as Lax-Wendroff or MacCormack methods) to simulate steady and unsteady flow fields.

Solve Navier-Stokes Equations using Pressure Correction: Students will be able to solve the full Navier-Stokes equations by utilizing pressure correction approaches (such as SIMPLE or MAC methods) to address complex fluid dynamics problems.

J. D. Anderson. Computational Fluid Dynamics: The Basics with Applications, McGraw-Hill, Inc., Singapore, 1995

J. C. Tannehill, D. A. Anderson, and R. H. Pletcher. Computational Fluid Mechanics and Heat Transfer, 2nd Ed., Taylor & Francis, Philadelphia, 1997.

R. Peyret and T. D. Taylor. Computational Methods for Fluid Flow, Springer-Verlag, New York, 1990.

S. V. Patankar. Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington DC, 1980.