NPTEL : NOC:Computational Hydraulics (Civil Engineering)

Co-ordinators : Dr. Anirban Dhar


Lecture 1 - Introduction to Computational Hydraulics

Lecture 2 - Problem Definition and Governing Equations (GE)

Lecture 3 - Classification of Problems based on Initial Condition (IC) and/or Boundary Conditions (BC)

Lecture 4 - Classification of Differential Equations

Lecture 5 - Numerical Methods : Overview

Lecture 6 - Finite Difference Approximation

Lecture 7 - Ordinary Differential Equation : IVP

Lecture 8 - Ordinary Differential Equation : BVP

Lecture 9 - Partial Differential Equation : BVP

Lecture 10 - Partial Differential Equation : IBVP

Lecture 11 - Partial Differential Equation : Numerical Stability of IBVP

Lecture 12 - Partial Differential Equation : Numerical Stability of One Dimensional PDE

Lecture 13 - Finite Volume Method - Overview

Lecture 14 - Finite Volume Method - BVP

Lecture 15 - Finite Volume Method - IBVP

Lecture 16 - Finite Volume Method - Conservation Law

Lecture 17 - Upwind Approach

Lecture 18 - Godunov Approach

Lecture 19

Lecture 20

Lecture 21 - Mesh-Tree Method : Polynomial Interpolation Method

Lecture 22 - Mesh-Free Method : Moving Least Squares Method

Lecture 23 - Mesh-Free Method : Space-Time Moving Least Squares Method

Lecture 24 - Numerical Method : Matrix Structure and Scilab

Lecture 25 - Algebraic Equation : Gauss Elimination Method

Lecture 26 - Algebraic Equation : LU Decomposition Method

Lecture 27 - Algebraic Equation : Tri Diagonal Matrix Method

Lecture 28 - Algebraic Equation : Jacobis Method

Lecture 29 - Algebraic Equation : Gauss - Seidel Method

Lecture 30 - Algebraic Equation : Newton Raphson Method

Lecture 31 - One-Dimensional Flow

Lecture 32 - Steady Two-Dimensional Flow

Lecture 33 - Unsteady Two-Dimensional Flow using Finite Difference Method

Lecture 34

Lecture 35

Lecture 36

Lecture 37

Lecture 38

Lecture 39

Lecture 40 - Steady Channel Flow : Channel Network without reverse Flow

Lecture 41 - Steady Channel Flow : Channel Network without reverse Flow (Continued...)

Lecture 42 - Steady Channel Flow : Channel Network with reverse Flow

Lecture 43 - Steady Channel Flow : Channel Network with reverse Flow (Continued...)

Lecture 44

Lecture 45

Lecture 46

Lecture 47

Lecture 48

Lecture 49 - Unsteady Flow in Pipes

Lecture 50 - Surface Water and Ground Water Interaction

Lecture 51 - Course Summary