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Critical Review of the
Building Downwash
Algorithms in AERMOD
Guideline on Air Quality Models: The New Path
Chapel Hill, NC
April 12-14, 2016
Ron Petersen, PhD, CCM, FASHRAE
Sergio Guerra, PhD
CPP, Inc.
2400 Midpoint Drive, Suite 190
Fort Collins, CO 80525
www.cppwind.com @CPPWindExperts
www.cppwind.comwww.cppwind.com
Background
• AERMOD with PRIME became the preferred model in 2006.
• Primary documentation on PRIME is in 2000 A&WMA Journal
article by Schulman, Strimaitis and Scire. Not all the details
included.
• PRIME code is in Fortran and is well documented. Details are
there.
• Overprediction and underprediction problems have been
found for various building configurations.
• CPP funded research into the PRIME theory to find the cause
of these problems.
www.cppwind.comwww.cppwind.com
Examples Problems -Overprediction
From 10th Modeling Conference
Schulman, 2012, Wide/Long Building Issue
• Wide Buildings: Concentration
increased by factors of 3 to 14
when Width > 4 x Height
• Long Buildings: Concentration
increased by factors of 4 to 10
when Length > 4 x height for
GEP stack.
• Field Observations at ALCOA TN
wide/long facility: Model
overpredicts by factor of ~10.
Hs/Hb = 2.5
www.cppwind.comwww.cppwind.com
An Assessment of the AERMOD by
IDEM
Keith Baugues, Assistant
Commissioner
AERMOD not working!!!!
• Q:Q: Model Overpredicts by
Factor of 2 or More
• Paired: Very Poor
Agreement
Model (ppm)
Model (ppm)
Observed(ppm)
Observed(ppm)
www.cppwind.comwww.cppwind.com
AECOM Field Study at Mirant Power
Station (Shea et al., 2012)
2Shea, D., O. Kostrova, A. MacNutt, R. Paine, D. Cramer, L. Labrie, “A Model Evaluation Study of AERMOD Using Wind Tunnel
and Ambient Measurements at Elevated Locations,” 100th Annual AWMA Conference, Pittsburgh, PA, June 2007.
• Model overpredicted by factor
of 10 on residential tower
• Best agreement with no
buildings, still overpredicted by
factor of 2.
• In reality, plume is not affected
by building downwash.
AERMOD
with BPIP
AERMOD
No Buildings
www.cppwind.comwww.cppwind.com
Theoretical Problems that may
Cause the Overpredictions
www.cppwind.comwww.cppwind.com
AERMOD Building Wake Problems –
AERMOD Overestimates Downwash (BPIP & PRIME Problem)
Hb = 20 m
Problem even worse for longer buildings
• Wake height
overestimated: need
higher plumes to
avoid downwash.
• Start of maximum
building downwash
farther downwind than
in reality
www.cppwind.comwww.cppwind.com
Turbulence Calculations in Wake Flawed
- Constant downwash enhancement up to wake height (Fix?)
Starting Relation
J.C. Weil, A New Dispersion Model for Stack Sources in Building Wakes,
9th Joint Conference on Air Pollution Meteorology with A&WMA, 1996.
Bad assumptions
𝑖 𝑧 = 𝑖 𝑜
1 +
Δ𝜎 𝑤𝑜
𝜎 𝑤𝑜
𝜉
𝑅
−
2
3
1 + Δ𝑈 𝑜/𝑈 𝑜
𝜉
𝑅
−
2
3
www.cppwind.comwww.cppwind.com
AERMOD/PPRIME
Overestimates
Downwash
Reality
Illustration of PRIME Building Downwash Problem:
Height of Building Downwash Zone Overestimated
www.cppwind.comwww.cppwind.com
Another PRIME Problem
Downwash (turbulence) enhanced by factor of ~10
under stable conditions: not documented (Fix?).
Not supported by theory. No evidence
supporting this is provided!!
ξ = R @ X = 0, the lee wall
Is PRIME really enhancing
turbulence like this? Yes
𝑖 𝑧(𝜉, 𝑧) = 𝑖 𝑧𝑜(𝑧) 1 +
1.7𝑖 𝑧𝑁
𝑖 𝑧𝑜(𝑧)
− 1 +
∆𝑈 𝑜
𝑈 𝑜
ξ
𝑅
2
3
−
∆𝑈 𝑜
𝑈 𝑜
Wake
Turbulent
=
Approach
Turbulence
Function
(ξ, Stability)*
www.cppwind.comwww.cppwind.com
W/H
2.4
2.4
2.4
8.4
H (cm)
3.1
6.5
8.3
6.4
AERMOD
Turbulence decay in x direction and with building
height flawed: NASA Database
Affects wake turbulence calculations
Short/narrow
building
Tall/wide
building
Turbulence
Increase
Factor
Downwind Distance Divided by Building Height
www.cppwind.comwww.cppwind.com
W/H
2.4
2.4
2.4
8.4
H (cm)
3.1
6.5
8.3
6.4
AERMOD
Velocity deficit in x direction and with building
height flawed: NASA Database
Affects plume rise and turbulence calculations
Velocity
Decrease
Factor
www.cppwind.comwww.cppwind.com
Refinery Structures Upwind
- Horizontal flow
Solid BPIP Structure Upwind
No Structures
Streamlines for Lattice Structures
Should be horizontal (Fix?)
Affects Plume Rise Calculations
www.cppwind.comwww.cppwind.com
Realistic Equation
ξ = R @ X = 0, the lee wall
𝑖 𝑧(𝜉, 𝑧) = 𝑖 𝑧𝑜(𝑧)
1 +
Δ𝜎𝑧𝑜
𝜎𝑧𝑜
(𝑧, 𝑖 𝑧𝑜, 𝑠𝑡𝑟𝑢𝑐𝑡𝑖𝑜𝑛 𝑡𝑦𝑝𝑒)
𝜉
𝑅
−
2
3
1 + Δ𝑈 𝑜/𝑈 𝑜(𝑧, 𝑖 𝑧𝑜, 𝑠𝑡𝑟𝑢𝑐𝑡𝑖𝑜𝑛 𝑡𝑦𝑝𝑒)
𝜉
𝑅
−
2
3
𝑖 𝑧(𝜉, 𝑧) = 𝑖 𝑧𝑜(𝑧) 1 +
1.7𝑖 𝑧𝑁
𝑖 𝑧𝑜(𝑧)
− 1 +
∆𝑈 𝑜
𝑈 𝑜
ξ
𝑅
2
3
−
∆𝑈 𝑜
𝑈 𝑜
Existing
Realistic
Turbulence increase and velocity deficit vary based on x, z,
approach turbulence and structure type
Turbulence increase factor only varies with x and L (stability)
www.cppwind.comwww.cppwind.com
CPP’s Limited Research
Velocity Mapping for 1:1:2 Building
www.cppwind.comwww.cppwind.com
Findings from CPP’s Limited Research
- Wind tunnel measurements show little enhancement
above building height (Fix?)
Building
Distance Turbulence Increase Factor
ξ/Hb AERMOD Observed
1 5.7 1.0 to 5.7
2 4.4 1.0 to 5.2
3 2.9 1.0 to 2.2
Turbulence Increase Factor
www.cppwind.comwww.cppwind.com
FDS LES Simulation for 1:1:2 Building
Very little downwash enhancement above the building
www.cppwind.comwww.cppwind.com
Other
Problems
www.cppwind.comwww.cppwind.com
Streamline Calculation Comparison
Flawed (Bug?)
Figure 6. Prime predicted and observed streamlines from Schulman1
Given:
• H=W=L=R
PRIME Logic
• If L> 0.9R (= 0.9L)
reattachment occurs, and
Hr = H
For this case,
• L>0.9R = 0.9L, therefore
• Hr = H
That means all streamlines
should be horizontal and they
are not in example.
What is PRIME really doing?
www.cppwind.comwww.cppwind.com
Another Streamline Calculation
Problem (Bug?)
www.cppwind.comwww.cppwind.com
More Difficult Fixes:
AERMOD Underprediction Cases
Require Major Research and New Theory
• Factor of two:
Corner Vortex
Rhinelander Corner Vortex
AERMOD ~ Factor of 2 Low at Monitor
Upwind Terrain Wakes Not
Treated in AERMOD
• Factor of 2-6:
Upwind
Terrain
www.cppwind.comwww.cppwind.com
Solutions and Next Generation
• Short Term Fix: Use Equivalent Building Dimensions
• EBDs are the dimensions (height, width, length
and location) that are input into AERMOD in place
of BPIP dimensions to more accurately predict
building wake effects
• Not a complete fix because of problems with the
theory
• Determined using wind tunnel modeling
• Next Generation: Improved PRIME (AERMOD
and SCICHEM) and BPIP
• Collaboration between EPA and Industry
www.cppwind.comwww.cppwind.com
BPIP Diagnostic Tool
http://bit.do/cppwind-BPIPDiagnostic
Likely Overprediction Factor for each Flow Vector
Source 1
www.cppwind.comwww.cppwind.com
Complianc
e
CPP’s EBD
BPIP Diagnostic
ToolBuilding Geometry
Meteorological Data
Terrain Data
AERMET
AERMAP
Operating Parameters
AERMOD
OtherInputs
Building
Inputs
BPIP Diagnostic Tool
www.cppwind.comwww.cppwind.com
• Equivalent Building Dimensions (EBDs) are the dimensions (height, width, length
and location) that are input into AERMOD in place of BPIP dimensions to more
accurately predict building wake effects
• Guidance originally developed when ISC was the preferred model –
– EPA, 1994. Wind Tunnel Modeling Demonstration to Determine Equivalent
Building Dimensions for the Cape Industries Facility, Wilmington, North
Carolina. Joseph A. Tikvart Memorandum, dated July 25, 1994. U.S.
Environmental Protection Agency, Research Triangle Park, NC
• Determined using wind tunnel modeling
EBD Method
www.cppwind.comwww.cppwind.com
Why EBD helps but
doesn’t solve
problem.
EBD is smallest
building that
replicates the site
dispersion
AERMOD works best
for smaller buildings
AERMOD/PPRIME
Overestimates
Downwash
EBD
~ reality
Reality
www.cppwind.comwww.cppwind.com
AERMOD Results With Wind Tunnel EBD
Very wide/narrow building
Stack height: 47 m
Building height: 31 m
Property line in Red
Emission rate: 1 g/s
AERMOD RESULTS
Five years of met data
AERMOD Building Dimension
Inputs 1-hour 24-hour annual
BPIP 15.19 8.20 0.89
Wind Tunnel EBD 3.99 1.88 0.18
Reduction Factor 3.80 4.37 4.93
AERMOD Maximum predicted
www.cppwind.comwww.cppwind.com
Long Buildings with Wind
at an Angle
Figure created in BREEZE® Downwash Analyst
BREEZE is a registered trademark of Trinity Consultants, Inc.
www.cppwind.comwww.cppwind.com
Downwash Based on EBD and BPIP
Figures created in BREEZE® Downwash Analyst
BREEZE is a registered trademark of Trinity Consultants, Inc.
www.cppwind.comwww.cppwind.com
Stack height: 45 m
Structure height: 61 m
Emission rate: 1 g/s
Five years of met data
Stack
AERMOD Result
Lattice Structure
Building
Input 1-hour 24-hour annual
BPIP 23.21 5.51 0.37
Wind Tunnel EBD 7.72 2.36 0.11
Reduction Factor 3.01 2.33 3.51
Maximum Concentration Results
www.cppwind.comwww.cppwind.com
FACTOR of 4 to 8
reduction when EBD used
Short building with a large foot print
FACTOR of 2 to 4
reduction when EBD used
Hyperbolic cooling towers
Typical AERMOD Overprediction Factors When
Using BPIP Inputs and Current Theory
www.cppwind.comwww.cppwind.com
Typical AERMOD Overprediction Factors When
Using BPIP Inputs and Current Theory
FACTOR of 2 to 5
reduction when EBD used
Very Wide/Narrow Buildings
FACTOR of 2 to 3.5
reduction when EBD used
Lattice Structures
www.cppwind.comwww.cppwind.com
Summary
The Next Generation Downwash Model
• Correct all the bugs and fix the known problems in
the theory
• Incorporate the current state of science
• Advance the current state of the science
• Expand the types of structures that can be accurately
handled
• Well documented and verified model formulation
document and code for PRIME
• Add section to Appendix W that outlines a method
that all can use (versus just EPA) to update models
based on current research.
www.cppwind.comwww.cppwind.com
First Steps
• EPA policy that encourages industrial research
and freely and openly collaborates during the
execution of that research → theme of this
conference.
• PRIME2 Advisory Committee has an initial
kickoff meeting to start this cooperative
process after lunch. A subcommittee of APM.
• Meeting is open to all interested in improving
building downwash.
www.cppwind.comwww.cppwind.com
Ron Petersen, PhD, CCM
rpetersen@cppwind.com
Direct: + 970 498 2366
Sergio Guerra, PhD
sguerra@cppwind.com
CPP, Inc.
2400 Midpoint Drive, Suite 190
Fort Collins, CO 80525
+ 970 221 3371
www.cppwind.com @CPPWindExperts
Questions?

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Critical Review of the Building Downwash Algorithms in AERMOD

  • 1. www.cppwind.comwww.cppwind.com Critical Review of the Building Downwash Algorithms in AERMOD Guideline on Air Quality Models: The New Path Chapel Hill, NC April 12-14, 2016 Ron Petersen, PhD, CCM, FASHRAE Sergio Guerra, PhD CPP, Inc. 2400 Midpoint Drive, Suite 190 Fort Collins, CO 80525 www.cppwind.com @CPPWindExperts
  • 2. www.cppwind.comwww.cppwind.com Background • AERMOD with PRIME became the preferred model in 2006. • Primary documentation on PRIME is in 2000 A&WMA Journal article by Schulman, Strimaitis and Scire. Not all the details included. • PRIME code is in Fortran and is well documented. Details are there. • Overprediction and underprediction problems have been found for various building configurations. • CPP funded research into the PRIME theory to find the cause of these problems.
  • 3. www.cppwind.comwww.cppwind.com Examples Problems -Overprediction From 10th Modeling Conference Schulman, 2012, Wide/Long Building Issue • Wide Buildings: Concentration increased by factors of 3 to 14 when Width > 4 x Height • Long Buildings: Concentration increased by factors of 4 to 10 when Length > 4 x height for GEP stack. • Field Observations at ALCOA TN wide/long facility: Model overpredicts by factor of ~10. Hs/Hb = 2.5
  • 4. www.cppwind.comwww.cppwind.com An Assessment of the AERMOD by IDEM Keith Baugues, Assistant Commissioner AERMOD not working!!!! • Q:Q: Model Overpredicts by Factor of 2 or More • Paired: Very Poor Agreement Model (ppm) Model (ppm) Observed(ppm) Observed(ppm)
  • 5. www.cppwind.comwww.cppwind.com AECOM Field Study at Mirant Power Station (Shea et al., 2012) 2Shea, D., O. Kostrova, A. MacNutt, R. Paine, D. Cramer, L. Labrie, “A Model Evaluation Study of AERMOD Using Wind Tunnel and Ambient Measurements at Elevated Locations,” 100th Annual AWMA Conference, Pittsburgh, PA, June 2007. • Model overpredicted by factor of 10 on residential tower • Best agreement with no buildings, still overpredicted by factor of 2. • In reality, plume is not affected by building downwash. AERMOD with BPIP AERMOD No Buildings
  • 7. www.cppwind.comwww.cppwind.com AERMOD Building Wake Problems – AERMOD Overestimates Downwash (BPIP & PRIME Problem) Hb = 20 m Problem even worse for longer buildings • Wake height overestimated: need higher plumes to avoid downwash. • Start of maximum building downwash farther downwind than in reality
  • 8. www.cppwind.comwww.cppwind.com Turbulence Calculations in Wake Flawed - Constant downwash enhancement up to wake height (Fix?) Starting Relation J.C. Weil, A New Dispersion Model for Stack Sources in Building Wakes, 9th Joint Conference on Air Pollution Meteorology with A&WMA, 1996. Bad assumptions 𝑖 𝑧 = 𝑖 𝑜 1 + Δ𝜎 𝑤𝑜 𝜎 𝑤𝑜 𝜉 𝑅 − 2 3 1 + Δ𝑈 𝑜/𝑈 𝑜 𝜉 𝑅 − 2 3
  • 9. www.cppwind.comwww.cppwind.com AERMOD/PPRIME Overestimates Downwash Reality Illustration of PRIME Building Downwash Problem: Height of Building Downwash Zone Overestimated
  • 10. www.cppwind.comwww.cppwind.com Another PRIME Problem Downwash (turbulence) enhanced by factor of ~10 under stable conditions: not documented (Fix?). Not supported by theory. No evidence supporting this is provided!! ξ = R @ X = 0, the lee wall Is PRIME really enhancing turbulence like this? Yes 𝑖 𝑧(𝜉, 𝑧) = 𝑖 𝑧𝑜(𝑧) 1 + 1.7𝑖 𝑧𝑁 𝑖 𝑧𝑜(𝑧) − 1 + ∆𝑈 𝑜 𝑈 𝑜 ξ 𝑅 2 3 − ∆𝑈 𝑜 𝑈 𝑜 Wake Turbulent = Approach Turbulence Function (ξ, Stability)*
  • 11. www.cppwind.comwww.cppwind.com W/H 2.4 2.4 2.4 8.4 H (cm) 3.1 6.5 8.3 6.4 AERMOD Turbulence decay in x direction and with building height flawed: NASA Database Affects wake turbulence calculations Short/narrow building Tall/wide building Turbulence Increase Factor Downwind Distance Divided by Building Height
  • 12. www.cppwind.comwww.cppwind.com W/H 2.4 2.4 2.4 8.4 H (cm) 3.1 6.5 8.3 6.4 AERMOD Velocity deficit in x direction and with building height flawed: NASA Database Affects plume rise and turbulence calculations Velocity Decrease Factor
  • 13. www.cppwind.comwww.cppwind.com Refinery Structures Upwind - Horizontal flow Solid BPIP Structure Upwind No Structures Streamlines for Lattice Structures Should be horizontal (Fix?) Affects Plume Rise Calculations
  • 14. www.cppwind.comwww.cppwind.com Realistic Equation ξ = R @ X = 0, the lee wall 𝑖 𝑧(𝜉, 𝑧) = 𝑖 𝑧𝑜(𝑧) 1 + Δ𝜎𝑧𝑜 𝜎𝑧𝑜 (𝑧, 𝑖 𝑧𝑜, 𝑠𝑡𝑟𝑢𝑐𝑡𝑖𝑜𝑛 𝑡𝑦𝑝𝑒) 𝜉 𝑅 − 2 3 1 + Δ𝑈 𝑜/𝑈 𝑜(𝑧, 𝑖 𝑧𝑜, 𝑠𝑡𝑟𝑢𝑐𝑡𝑖𝑜𝑛 𝑡𝑦𝑝𝑒) 𝜉 𝑅 − 2 3 𝑖 𝑧(𝜉, 𝑧) = 𝑖 𝑧𝑜(𝑧) 1 + 1.7𝑖 𝑧𝑁 𝑖 𝑧𝑜(𝑧) − 1 + ∆𝑈 𝑜 𝑈 𝑜 ξ 𝑅 2 3 − ∆𝑈 𝑜 𝑈 𝑜 Existing Realistic Turbulence increase and velocity deficit vary based on x, z, approach turbulence and structure type Turbulence increase factor only varies with x and L (stability)
  • 16. www.cppwind.comwww.cppwind.com Findings from CPP’s Limited Research - Wind tunnel measurements show little enhancement above building height (Fix?) Building Distance Turbulence Increase Factor ξ/Hb AERMOD Observed 1 5.7 1.0 to 5.7 2 4.4 1.0 to 5.2 3 2.9 1.0 to 2.2 Turbulence Increase Factor
  • 17. www.cppwind.comwww.cppwind.com FDS LES Simulation for 1:1:2 Building Very little downwash enhancement above the building
  • 19. www.cppwind.comwww.cppwind.com Streamline Calculation Comparison Flawed (Bug?) Figure 6. Prime predicted and observed streamlines from Schulman1 Given: • H=W=L=R PRIME Logic • If L> 0.9R (= 0.9L) reattachment occurs, and Hr = H For this case, • L>0.9R = 0.9L, therefore • Hr = H That means all streamlines should be horizontal and they are not in example. What is PRIME really doing?
  • 21. www.cppwind.comwww.cppwind.com More Difficult Fixes: AERMOD Underprediction Cases Require Major Research and New Theory • Factor of two: Corner Vortex Rhinelander Corner Vortex AERMOD ~ Factor of 2 Low at Monitor Upwind Terrain Wakes Not Treated in AERMOD • Factor of 2-6: Upwind Terrain
  • 22. www.cppwind.comwww.cppwind.com Solutions and Next Generation • Short Term Fix: Use Equivalent Building Dimensions • EBDs are the dimensions (height, width, length and location) that are input into AERMOD in place of BPIP dimensions to more accurately predict building wake effects • Not a complete fix because of problems with the theory • Determined using wind tunnel modeling • Next Generation: Improved PRIME (AERMOD and SCICHEM) and BPIP • Collaboration between EPA and Industry
  • 24. www.cppwind.comwww.cppwind.com Complianc e CPP’s EBD BPIP Diagnostic ToolBuilding Geometry Meteorological Data Terrain Data AERMET AERMAP Operating Parameters AERMOD OtherInputs Building Inputs BPIP Diagnostic Tool
  • 25. www.cppwind.comwww.cppwind.com • Equivalent Building Dimensions (EBDs) are the dimensions (height, width, length and location) that are input into AERMOD in place of BPIP dimensions to more accurately predict building wake effects • Guidance originally developed when ISC was the preferred model – – EPA, 1994. Wind Tunnel Modeling Demonstration to Determine Equivalent Building Dimensions for the Cape Industries Facility, Wilmington, North Carolina. Joseph A. Tikvart Memorandum, dated July 25, 1994. U.S. Environmental Protection Agency, Research Triangle Park, NC • Determined using wind tunnel modeling EBD Method
  • 26. www.cppwind.comwww.cppwind.com Why EBD helps but doesn’t solve problem. EBD is smallest building that replicates the site dispersion AERMOD works best for smaller buildings AERMOD/PPRIME Overestimates Downwash EBD ~ reality Reality
  • 27. www.cppwind.comwww.cppwind.com AERMOD Results With Wind Tunnel EBD Very wide/narrow building Stack height: 47 m Building height: 31 m Property line in Red Emission rate: 1 g/s AERMOD RESULTS Five years of met data AERMOD Building Dimension Inputs 1-hour 24-hour annual BPIP 15.19 8.20 0.89 Wind Tunnel EBD 3.99 1.88 0.18 Reduction Factor 3.80 4.37 4.93 AERMOD Maximum predicted
  • 28. www.cppwind.comwww.cppwind.com Long Buildings with Wind at an Angle Figure created in BREEZE® Downwash Analyst BREEZE is a registered trademark of Trinity Consultants, Inc.
  • 29. www.cppwind.comwww.cppwind.com Downwash Based on EBD and BPIP Figures created in BREEZE® Downwash Analyst BREEZE is a registered trademark of Trinity Consultants, Inc.
  • 30. www.cppwind.comwww.cppwind.com Stack height: 45 m Structure height: 61 m Emission rate: 1 g/s Five years of met data Stack AERMOD Result Lattice Structure Building Input 1-hour 24-hour annual BPIP 23.21 5.51 0.37 Wind Tunnel EBD 7.72 2.36 0.11 Reduction Factor 3.01 2.33 3.51 Maximum Concentration Results
  • 31. www.cppwind.comwww.cppwind.com FACTOR of 4 to 8 reduction when EBD used Short building with a large foot print FACTOR of 2 to 4 reduction when EBD used Hyperbolic cooling towers Typical AERMOD Overprediction Factors When Using BPIP Inputs and Current Theory
  • 32. www.cppwind.comwww.cppwind.com Typical AERMOD Overprediction Factors When Using BPIP Inputs and Current Theory FACTOR of 2 to 5 reduction when EBD used Very Wide/Narrow Buildings FACTOR of 2 to 3.5 reduction when EBD used Lattice Structures
  • 33. www.cppwind.comwww.cppwind.com Summary The Next Generation Downwash Model • Correct all the bugs and fix the known problems in the theory • Incorporate the current state of science • Advance the current state of the science • Expand the types of structures that can be accurately handled • Well documented and verified model formulation document and code for PRIME • Add section to Appendix W that outlines a method that all can use (versus just EPA) to update models based on current research.
  • 34. www.cppwind.comwww.cppwind.com First Steps • EPA policy that encourages industrial research and freely and openly collaborates during the execution of that research → theme of this conference. • PRIME2 Advisory Committee has an initial kickoff meeting to start this cooperative process after lunch. A subcommittee of APM. • Meeting is open to all interested in improving building downwash.
  • 35. www.cppwind.comwww.cppwind.com Ron Petersen, PhD, CCM rpetersen@cppwind.com Direct: + 970 498 2366 Sergio Guerra, PhD sguerra@cppwind.com CPP, Inc. 2400 Midpoint Drive, Suite 190 Fort Collins, CO 80525 + 970 221 3371 www.cppwind.com @CPPWindExperts Questions?