CIVL 7170 NUMERICAL METHODS IN HYDRAULICS AND HYDROLOGY

Aim:  The objecive to this class is to learn the steps involved in developing mathematial models for applied environmental/water resources problems, and use numerical methods to solve these mathematical models. 
Weeks Viedos/notes/HWs
Week-1 EXCEL-VB Basic Intro - Lecture

VB Debugging-Part1 - Lecture

VB Debugging-Part 2 - Lecture

VBnotes - PDF file

Debugging notes - PDF file

HW problems/ discusion quesitons - PDF file
Week-2/3 Introduction to modeling - Lecture

Introduction to Taylor Series-Part1 - Lecture

Introduction to Taylor Series-Part2 - Lecture

Eulermethod- Lecture

HW-2

Heun_RK4 Lecture

HW 3
Week-4
Derivation of heat equation - lecture

Explicit solution to heat equation -lecture

HW4

HW-discussions- Lecture
Week-5
Implicit method- lecture

Boundary conditions - lecture

Crank-Nicolson method- lecture

HW5
Week-6
HW6
Week-7
Non-linear PDEs - Lecture

HW7
Week-8
Advection equation - Lecture

Advection-dispersion eqn - Lecture

HW8
Week-9
Solution to advection eqn (lecture)

Operator-split method for Adv-disp eqn (lectuer)

HW-9
Week-10
OS-scheme introduction -lecture

OS/Picard methods - lecture

HW-10
Week-11
Solutoin to Richards' Equation (lecture)

HW-11
Week-12
Massbalance analysis lecture

Trap_rule short lecture

Gauss elimination solver lecture

HW-12

Download gauss elimination (LU) code

Download bandsolver code
Week-13
2D Heat equation- Lecture

HW-13
Week-14
2Dnoflow&transientflow

HW-14
Projects
GW code details

2D Steady-state code ( with bugs)