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By Patrick Delaney, DHI Introduction to Integrated 1D-2D Riverine and Urban Flood Modelling using MIKE FLOOD © DHI 22 nd Latornell Conservation Symposium Weathering Change: Navitating a New Climate

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By Patrick Delaney, DHI

Introduction to Integrated 1D-2D Riverine and Urban Flood Modelling using MIKE FLOOD

© DHI

22nd Latornell Conservation Symposium Weathering Change: Navitating a New Climate

Presentation Outline

© DHI

• About DHI• 1D riverine modeling• 1D collection system modelling• 2D overland flow modelling• 1D-2D coupling of models• Examples

• DHI is an independent, self-governing research and consultancy organisation (non-profit)

• DHI builds competence and promotes technological development relevant to the water and the environment

• DHI has ongoing activities world-wide

• DHI has a total staff of over 1100

What is DHI?

• Coupled 1D and 2D urban and riverine flood modelling

• Integrated watershed hydrology modelling

• Stormwater drainage and collection system modelling

• Wastewater and combined sewer hydraulic modelling

• Flood and lake forecasting system development

DHI Consulting Services

MIKE by DHI SOFTWARE PRODUCTS

Software for Water

Environments

What is MIKE FLOOD

© DHI

What is MIKE FLOOD?

© DHI

• MIKE FLOOD is a tool for dynamic coupling of 1D and 2D numericalmodels

MIKE URBAN•Stormwater, sanitary and combined sewer modellingProcesses•Surface drainage hydrology•1D open channel and pipe flow Sediment transport and water quality

Numerical Engines•Supports SWMM, MOUSE and MIKE 1D

MIKE HYDRO River•River system modelling

Processes•Surface drainage hydrology•1D open channel and pipe flow•Sediment transport and water quality

Numerical Engines•Supports MIKE 11 and MIKE 1D

MIKE 21•2D surface water modelling

Processes•2D hydrodynamics •Waves, sediment transport, mud transport, and water quality

Numerical Engines•Supports uniform grid and flexible mesh solutions

© DHI

What is MIKE FLOOD?

• MIKE FLOOD is a tool for dynamic coupling of 1D and 2D numerical models

MIKE URBAN•Stormwater, sanitary and combined sewer modellingProcesses•Surface drainage hydrology•1D open channel and pipe flow Sediment transport and water quality

Numerical Engines•Supports SWMM, MOUSE and MIKE 1D

MIKE HYDRO River•River system modelling

Processes•Surface drainage hydrology•1D open channel and pipe flow•Sediment transport and water quality

Numerical Engines•Supports MIKE 11 and MIKE 1D

MIKE 21•2D surface water modelling

Processes•2D hydrodynamics •Waves, sediment transport, mud transport, and water quality

Numerical Engines•Supports uniform grid and flexible mesh solutions

© DHI

MIKE FLOODMIKE 21 MIKE HYDRO River

MIKE URBAN

Coupling along banks, across structures, and at ends of 1D channel

Coupling at manholes, outlets, weirs and pumpsCouplin

g at outle

ts, weirs

and pumps

© DHI

• 1D hydraulic modeling of Elbow River using HEC-RAS indicated flooding from a 100 year flood event would have multiple flow splits through developed areas of downtown Calgary

• Alberta ESRD and the City of Calgary commissioned a 2D hydraulic modeling study in order to gain additional knowledge and confidence about the potential flooding in this area

Workflow Case Story – Elbow River 100 Year Flood

• What is coupled 1D and 2D hydraulic modeling?− Uses a 1D model to simulate flow in the main river channel and

through structures− Uses a 2D model to simulate flow in the floodplain− Dynamically exchanges flow between the 1D and 2D models

based on calculated water levels

Background

Standard 1D approach

• What is coupled 1D and 2D hydraulic modeling?− Uses a 1D model to simulate flow in the main river channel and

through structures− Uses a 2D model to simulate flow in the floodplain− Dynamically exchanges flow between the 1D and 2D models

based on calculated water levels

Background

Standard 1D approach

• What is coupled 1D and 2D hydraulic modeling?− Uses a 1D model to simulate flow in the main river channel and

through structures− Uses a 2D model to simulate flow in the floodplain− Dynamically exchanges flow between the 1D and 2D models

based on calculated water levels

Background

Coupled 1D-2D approach

© DHI

• Benefits of coupled 1D and 2D hydraulic modelling?− 1D solution for hydraulics in the channel − Allows formal representation of bridge structures and buried

culverts in 1D model− Solves for high-resolution 2D flow in developed areas where flow

directions are uncertain− Provides a more detailed representation of flooding depths and

flow velocities in developed area− Able to explicitly represent the influence of buildings

Background

© DHI

• Convert existing 1D river model from HEC-RAS to MIKE 11• Trim the 1D river model to represent only the 1D channel flow• Prepare a 2D MIKE 21 model• Construct the MIKE FLOOD model by coupling the 1D MIKE 11

model to the 2D MIKE 21 model• Calibrate the MIKE FLOOD model• Run design flood events and map results

Project Scope of Work

1D River Model Development

© DHI

HEC-RAS MIKE HYDRO River model

Construction of 2D overland flow model

© DHI

• Generate 2D model grid using 2 m grid cell size (2.5M cells)

• Buildings footprints treated as flow barrier

• River channel removed to avoid double-counting of river water

Construction of MIKE FLOOD Model

© DHI

Evaluation of 2 m grid cell size •White areas are building footprints – red areas are blocked out grid cells•Major flow pathways are well represented •Occasional artificial blockages between closely spaced buildings will have a negligible impact on results

Construction of MIKE FLOOD Model

• Open MIKE 11 and MIKE 21 models in MIKE FLOOD

• Automatically define lateral links from 1D to 2D model along left and right banks of the river

Weir equation used to exchange flows

2D 2D1D

© DHI

Model Calibration - ESRD HWMs

© DHI

ID (ESRD) Location HWM WL MFLOOD Difference

05‐ELB‐5a

left bank U/S side of 9th Ave. bridge (Ch. 1075m on StampedeToBowRi

1039.681 1039.68 ‐0.001

05‐ELB‐5b

left bank 35m D/S side of 9th Ave. bridge (Ch. 1125m on StampedeToBowRi

1039.486 1039.49 0.004

05‐ELB‐4a

right bank 8m D/S of MacLeod Trail (Ch. 971m on Between22AvSw)

1045.021 1045.017 ‐0.004

05‐ELB‐4b

right bank 15m U/S of MacLeod Trail (Ch. 929m on Between22AvSw)

1045.091 1045.179 0.088

05‐ELB‐3a

10m U/S on left bank of 1st St (Pattison) (Ch. 705m on Between22AvSw)

1045.852 1045.982 0.13

05‐ELB‐3d

12m D/S on left bank of 1st St (Pattison) (Ch. 728m on Between22AvSw)

1045.832 1045.728 ‐0.104

05‐ELB‐2a

at the end of 1st St near outfall E‐25 (Taken in line with BM)

1048.067 1048.133 0.066

04.

Modeling the 100 Year Flood Event

© DHI

© DHI

Modelling the 100 Year Flood Event

Flood depths

© DHI

Differences Between 1D and 2D ModellingFlow Split at 5th Street

© DHI

Differences Between 1D and 2D ModellingFlooding in Mission and Erlton Areas

© DHI

Google Earth Animation of Flooding

© DHI

Google Earth Animation of Flooding – Helicopter Ride

1D-2D Urban Flood Modelling

© DHI

• Workflow is similar except 2D model grid/mesh is coupled to 1D model nodes

1D-2D Urban Flood Modelling

© DHI

• Animation of stormwater collection system surcharge in Alameda, CA

2D Model Development – Grid or Mesh?

© DHI

• Grid Pros− Easy set-up− Relatively faster solution

• Grid Cons− OpenMP parallelization− No GPU capabilities

• Flexible Mesh Pros− Flexible mesh refinement (fewer elements required)− MPI and GPU parallelization (faster!)

• Flexible Mesh Cons− More cumbersome to setup− More solution stability issues

MIKE FLOOD Model with Flexible Mesh – Lower Don River

© DHI

• 6km x 5km study area• 4m2 – 25m2 element area• 700,000 mesh elements• 12 hr Regional hydrograph • 15 hours of simulation time on GPU

MIKE FLOOD Model with Flexible Mesh – Lower Don River

© DHI

Q&A:For more information:

Patrick DelaneyManaging Director, [email protected]

© DHI

So what is a pseudo 2D model?

Real 2D vs. Pseudo-2D Hydraulic Modelling

A pseudo-2D model is a 1D model dressed up to look like a 2D model

2D model domain is discretized into a rectangular or hexagonal mesh and 1D open channel conduits are linked from the centres of each adjacent mesh element.

1D flow equation is solved and water levels at each junction are calculated and interpolated to give the impression of a 2D result.

The map is the only thing that makes it 2D.

2D vs. 1D equations – what are the differences?Real 2D vs. Pseudo-2D Hydraulic Modelling

OK, they are different, but what does it mean?

2D vs. 1D equations – what are the differences? – In layman’s termsReal 2D vs. Pseudo-2D Hydraulic Modelling

Aside from being a much more complicated equation to solve….•Calculated 2D flow direction is not forced to a pre-defined linear object•1D solution does not account for wind, coriolis forcings or variations in atmospheric pressure•1D solution does not account for cross-momentum terms which play an important role when flow direction is not clearly defined by strongly sloping topography•The convective terms are also key when resolving 2D flow velocity patterns

2D vs. 1D equations – what are the differences? – In layman’s termsReal 2D vs. Pseudo-2D Hydraulic Modelling

Convective

acceleration terms

Gravity term

Bottom friction term

Viscous terms

Time derivative term

External forces

Actual length = 1 mConduit length = 0.59 mConduit width = 0.49 mSidewall height = 30 m

Where to these numbers come from (published articles)?How is storage volume accounted for?Is it using the specified roughness or is that also ‘adjusted’?

So what is really happening in a pseudo 2D model?

Real 2D vs. Pseudo-2D Hydraulic Modelling