Modeling and Simulation for Civil and Environmental Engineers
CEE 262C

Spring 2014
1
Solution 3 April 19, 2012
CEE262c Solution 3:
1D Shallow water equation solver
Due: In class Thursday, May 3, 2012
In this assignment you will study the behavior of the 1d verticallyaveraged shal
Modeling and Simulation for Civil and Environmental Engineers
CEE 262C

Spring 2014
1
Solution 2 April 10, 2012
CEE262c Solution 2:
Advection schemes
Due: In class Thursday, April 19, 2012
For this assignment you will implement a TVD advection scheme to compute advection of
a passive
Modeling and Simulation for Civil and Environmental Engineers
CEE 262C

Spring 2014
1
Solution 6 May 31, 2012
CEE262c Solution 6:
Straininduced periodic stratification (SIPS)
Due: Thursday, June 12, 2012
Estuarine dynamics are strongly dominated by the interaction of fresh, buoyant
Modeling and Simulation for Civil and Environmental Engineers
CEE 262C

Spring 2014
1
Solution 1 April 3, 2012
CEE262c Solution 1:
Finite differences and order of accuracy
Due: In class Tuesday, April 10, 2012
1. Derive the fourpoint onesided finite difference approximation to the
Modeling and Simulation for Civil and Environmental Engineers
CEE 262C

Spring 2014
1
Solution 4 May 8, 2012
CEE262c Solution 4:
Numerical dispersion
Due: In class Thursday, May 17, 2012
Numerical discretization of the linearized shallow water equations can be analyzed by discretizin
Modeling and Simulation for Civil and Environmental Engineers
CEE 262C

Spring 2014
CEE 262A
HYDRODYNAMICS
Lecture 2
Mathematical preliminaries and tensor
analysis
1
Righthanded, Cartesian coordinate system
z x3
x
a
~
3
a2
a
1
Unit vectors
y x2
x x1
a1 (1,0,0) i
a 2 (0,1,0) j
a 3 (0
Modeling and Simulation for Civil and Environmental Engineers
CEE 262C

Spring 2014
1
Solution 5 May 17, 2012
CEE262c Solution 5:
2D (xz) Linearized nonhydrostatic solver
Due: In class Thursday, May 31, 2012
In this assignment you will implement a discretization of the linearized n
Modeling and Simulation for Civil and Environmental Engineers
CEE 262C

Spring 2014
CEE 262A
HYDRODYNAMICS
Lecture 4
Kinematics Part II
1
Stream Function
(a) We will show that if conservation of mass (continuity) is:
1 D ui
Dt xi
Then for an incompressible or slightly compressible f
Modeling and Simulation for Civil and Environmental Engineers
CEE 262C

Spring 2014
CEE 262A
HYDRODYNAMICS
Lecture 1*
Introduction and properties of fluids
*Adapted from notes by Prof. Stephen Monismith
1
The NavierStokes equation
2
What is a Fluid ? (Fluid vs. Solid)
A substance w