Syllabus

Module 1: MATLAB Applications to Fluid Flow Problems (9 hours)
1. Implementation of Finite Difference Method (FDM) – Solve a simple 1D fluid flow equation using MATLAB.
2. Simulation of a Hydraulic Model – Develop a MATLAB script to simulate steady-state/ unsteady state fluid flow.
3. Comparison of Numerical Methods – Compare explicit and implicit FDM for solving equations.

Module 2: Solution Using Computational Fluid Dynamics (CFD) (9 hours)
4. Discretization of PDEs – Implement finite difference schemes for parabolic, hyperbolic, and elliptic equations in MATLAB.
5. Model Stability Analysis – Evaluate the stability, consistency, and convergence of a numerical scheme using MATLAB.
6. Governing Equations Implementation – Write MATLAB code to solve the Navier-Stokes equation for incompressible flow.

Module 3: River Flow Problems using 1-D/Quasi 2-D Hydraulic Software (CES) (6 hours)
7. Computation of Hydraulic Roughness – Use CES to determine stage-discharge curve, boundary shear distribution and Manning’s roughness coefficient for a compound channel.
8. Flood Level Estimation – Simulate flood levels in a meandering channel using CES and analyze conveyance parameters.

Module 4: Solution for Pipe and Open Channel Flow using ANSYS-FLUENT (6 hours)
9. 3D Velocity Profile Analysis – Simulate pipe flow using ANSYS-FLUENT and generate 3D velocity contours.
10. Shear Stress Distribution Study – Analyze boundary shear stress distribution in an open channel using ANSYS-FLUENT.

Help students to develop an understanding of free surface flow and enclosed flow for different ideal conditions.

To study the 1-d, 2-d and 3-d softwares for computation of flow variables in both pipe flow and open channel flow.

To study the variation of dependent hydraulic variables with independent variables of both pipe flow and open channel flow.

To verify the theoretical / experimental results with the CFD results

CO 1: Apply numerical methods to solve hydrodynamic equations using MATLAB and CFD software.
CO 2: Analyze the stability, consistency, and convergence of computational models for fluid flow simulations.
CO 3: Develop MATLAB codes for solving 1D, 2D, and 3D fluid flow problems using finite difference methods.
CO 4: Evaluate hydraulic parameters such as roughness, velocity, and shear stress using CES and ANSYS-FLUENT.
CO 5: Demonstrate the ability to simulate real-world hydraulic problems using MATLAB, CES, and ANSYS-FLUENT.

Manuals, CES/ AES, River Conveyance software MANUALS , The Conveyance and Afflux Estimation System (CES/AES) software tooL.

USER GUIDE, ANSYS FLUENT, ANSYS FLUENT 12.0 User's Guide , INSTALLATION OF SOFTWARE

K. A Hoffmann, Computational Fluid Dynamics, Cambridge university press , Practical applications

J.D. Anderson, Computational Hydraulics An Introduction, Springer , Practical applications