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CE 341/441 - Lecture 6 - Fall 2004
LECTURE 6
LAGRANGE INTERPOLATION
th
Fit N + 1 points with an N degree polynomial
g(x)
f2
f0
x0
f1
f(x)
f3
x1 x2 x3
f4
fN
x4 .
xN
f ( x ) = exact function of which only N + 1 discrete values are known and used to establ
Hydrologic Routing
Reading: Applied
Hydrology Sections 8.1,
8.2, 8.4
Flow Routing
Q
t
Procedure to
determine the flow
hydrograph at a
point on a
watershed from a
known hydrograph
upstream
Q
t
Q
As the hydrograph
travels, it
attenuates
gets delayed
t
Q
t
W
Engineering Work
EVERY PAGE
7/2/12
Prob 1.12
Hydrology
HW#2
F. Edwards
PRESENTATION OF WORK
Given: State the problem
P resent any drawings, tables, graphs as part of the P roblem Statement
Find: State what it is you are looking for
Solution: Develop the s
CVEG 3223
Preliminary Detention Pond Sizing
What did you learn last class?
Flow regimes &
capacities of Culverts:
1. Inlet Controlled
2. Outlet Controlled
3. Open Channel
Detention Ponds
A.
B.
C.
What is a Detention Pond?
What is their function?
How do we
CVEG 3223
Erosion
What did you learn last class?
How to route a storm through a channel to
using the Muskingum Method to determine the
outflow hydrograph
How to use the inflow and outflow hydrograph
to determine the Muskingum Coefficients
Erosion
Soil par
CVEG 3223
Channel Routing
What did you learn last class?
How to route a storm through a reservoir with
an outlet structure in order to determine the
outflow hydrograph
Channel Routing
60
40
30
20
10
0
0
10
20
30
40
time
50
60
70
80
90
100
Upstream Hydrogr
CVEG 3223
Channel Routing
What did you learn last class?
How to route a storm through a reservoir with
an outlet structure in order to determine the
outflow hydrograph
Channel Routing
60
40
30
20
10
0
0
10
20
30
40
time
50
60
70
80
90
100
Upstream Hydrogr
CVEG 3223
Reservoir Routing
What did you learn last class?
For rainfall hyetograph how to determine:
initial abstraction, infiltration, and excess rainfall
For runoff hydrograph how to determine:
base flow and direct runoff
How to develop a unit hydrograp
CVEG 3223
Excess Rainfall
Base Flow
Unit Hydrograph
What did you learn last class?
Methodology of Sizing Outlet Structures
Effect of Reservoir on Storm Event
Planning (Storage Estimate)
Route Storm through Reservoir
Routing Storm Events Though
Hydrologic
CVEG 3223
Preliminary Detention
Pond Sizing
What did you learn last class?
Flow regimes &
capacities of Culverts:
1.
2.
3.
Inlet Controlled
Outlet Controlled
Open Channel
Detention Ponds
A. What is a Detention Pond?
B. What is their function?
C. How do we
CVEG 3223
Outlet Design
What did you learn last class?
The functions of stormwater detention ponds
How to preliminary size detention ponds using
these methods:
Generalized Planning
Rational
Natural Storage Lost
Baker
Wycoff & Singh
Abt & Grigg
SCS
How to
CVEG 3223
Preliminary Detention
Pond Sizing
What did you learn last class?
Flow regimes &
capacities of Culverts:
1.
2.
3.
Inlet Controlled
Outlet Controlled
Open Channel
Detention Ponds
A. What is a Detention Pond?
B. What is their function?
C. How do we
CVEG 3223
Culverts 2
What did you learn last class?
The function of culverts
Advantages and disadvantages of
Culverts vs Bridges
Type of flow control in culverts
How the design equations for culverts
were developed
Which equations are appropriate for
whic
CVEG 3223
Theory of Culvert Design
What did you learn last class?
Hydrologic Methods to determine
required sizes of:
1.
2.
3.
Roof drains
Curb Inlet
Area Inlet (Drop Inlet)
Whats a Culvert?
Structure that conveys runoff through an
embankment
2.Typically d
CVEG 3223
Hydrologic Methods 2
What did you learn last class?
Bernoullis equation
orifice equation
weir equation
Mannings equation
Darcy-Weisbach equation
What mouthwash and roof drains
have in common
Why roof drains are important
Roof Drain Example
Size
CVEG 3223
Hydrologic Methods 1
What did you learn last class?
What a stream gaging station is,
How they are operated,
How we use the data to determine
runoff discharge vs. frequency
Hydrologic Methods
Hydraulic Rules of the Road:
Bernoullis equation
orifi
CVEG 3223
Stream Discharge
Now lets talk about
runoff (discharge)
Gaging Station
Discharge Determination
Q = viAi
Q = viAi
Rating Curve
Gaging Station
Stage Determination
Discharge Data from Gaging Station
Mean Daily Discharge (ft3/sec) 1984 Water Year Ga
CVEG 3223
Subdivided Watersheds
What did you learn last class?
Categories of Hydrologic Models
How a regression model is constructed
Factors typically in a regression model
The Ark USGS regression models
Index-flood model method
How to calc Qp using Ratio
Channel Routing
Channel
Continuity equation
Hydrologic Routing
Hydraulic Routing
Momentum Equation
Simulate the movement of water through a channel
Used to predict the magnitudes, volumes, and
temporal patterns of the flow (often a flood wave)
as it trans
CVEG 3223
Time of Concentration
What did you learn last class?
Where the soil surveys can be found
How to determine C or CN for a site
How to calc weighted C or CN
How to take into account antecedent
moisture conditions for CN
Peak Discharge Estimation
Ra
CVEG 3223
Watershed
Characteristics - Soils
What did you learn last class?
How to determine the
average precipitation for
a large area with one
rain gauge
How to construct a
design SCS design
storm
How to delineate a
watershed
Runoff
Intensity
Duration
Wa
Hydrology
Watershed Characteristics - Soils
What did you learn last class?
How to determine the
average precipitation for
a large area with one
rain gauge
How to construct a
design SCS design
storm
How to delineate a
watershed
Runoff
Intensity
Duration
Hydrology
Watershed Characteristics - Soils
What did you learn last class?
How to determine the
average precipitation for
a large area with one
rain gauge
How to construct a
design SCS design
storm
How to delineate a
watershed
1
Runoff
Intensity
Durati
CVEG 3223
Spatial Variation of
Precipitation
Watershed Delineation
What did you learn last class?
Precipitation measurement
Depth of rainfall
Graphing of precip vs. time
Frequency
Depth-Duration-Frequency (DDF)
Intensity-Duration-Frequency (IDF)
Area Aver