This document outlines the content of a course on Soft Computing and Simulation in Water Resources. The course covers topics like numerical differentiation and integration, ordinary and partial differential equations, finite difference methods, visual programming, graphical interfaces, and simulations. Students will learn how to set up mathematical models of water resource systems, solve model equations, program numerical models, perform simulations, and test model results. The goal is for students to gain skills in visual programming, designing graphical and animation interfaces for simulations, using macros for automation, and solving real-world water resource problems.

1. Soft Computing and Simulation
in Water Resources
HWR 702
By
Amro Elfeki, PhD.

2. Course Content
• Introduction to Computer Methods in Water Resources.
• Algorithms and Flow Charts.
• Computing Techniques.
• Numerical Differentiation and Integration.
• Ordinary Differential Equations.
• Solutions by Finite Difference Methods.
• Partial Differential Equations.
• Design of Digital Models.
• Visual Programming and Graphical Interface.

3. Chapter 1
Introduction to Computer Methods in
Water Resources

4. Introduction to Computer Methods in
Water Resources
• Setup a mathematical model of a water resources system.
• Solving the model equations.
• Learning different models and methods of solutions.
• Programming the numerical model.
• Running the model.
• Testing the model results.
• Designing a graphical interface.
• Designing animations.
• Performing simulations.

5. What do you expect to gain from the
course?
The following slides show you some of the
skills that you expect to gain from the
course.

6. Visual Programming
=IF($I$3=0,0,('T=0 '!$E$12/('T=0 '!$E$13*'T=0
'!$E$7))/(2*PI()*$I$10*$I$11*(1-($I$4)^2)^0.5)*EXP(-(1/(2*(1-
$I$4^2)))*(((E$19-$I$5)/$I$10)^2-2*$I$4*((E$19-
$I$5)/$I$10)*(($C21-$I$6)/$I$11)+(($C21-$I$6)/$I$11)^2)))

7. Graphical Interface

8. Simulations with Graphical and
Animation Interface (Flood wave)

9. Simulations with Graphical and
Animation Interface (cont.)

10. Simulation with on-time Graphical
Interface (Dam Break)

11. Simulations with Graphical Interface:
Rainfall-Runoff Modeling

12. Numerical Integration: Channel
Characteristics by Changes in Water Level)

13. Numerical Integration: Volume of Storm
Runoff
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
0 0.5 1 1.5 2
Time (hr)
infiltrationrate(f)&accumulation(F)
f
F

14. Use of Macros for Automation of
Equation Solver in Excel

15. Model Testing: Comparison with
Softwares and Analytical Solutions

16. Solving ODE for WSF

17. 2nd Order ODE and Matrix
Operations

18. Elliptic PDE application: Seepage Under
Hydraulic Structures
o i i+1i-1
j+1
j
j-1
imax
jmax
x
y
2 2
2 2
0
h h
x y
 
 
 

19. Groundwater Flow Applications

20. Groundwater Flow Applications (cont.)

21. Groundwater Flow Applications (Cont.)

22. Advection Eq. with Variable Celerity: Wave
Propagation on a Beach
( ) 0
h h
c h
t x
 
 
 

23. Parabolic PDE: Diffusion

24. ADE by FD
2
2
0
h h h
c D
t x x
  
  
  

25. Analytical Solution of ADE

26. Non-linear PDE
( ) 0
( ) ,
( )
( )
am
a
a
K
x x
a
K
b
S



  
 



  
   
 
 
 
  
 

27. Solve Real Problems

28. Particle Models

29. Random Walk