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US Army Corps of Engineers ® Engineer Research and Development Center 1 Background: High-resolution modeling t = 0.50 s t = 1.0 s t = 2.5 s t = 4.5 s Two-phase Navier-Stokes models for breaking waves and accurate predictions of forces on objects (cm scale resolution)

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Page 1: US Army Corps of Engineers ® Engineer Research and Development Center 1 Background: High-resolution modeling t = 0.50 s t = 1.0 s t = 2.5 st = 4.5 s Two-phase

US Army Corps of Engineers®

Engineer Research and Development Center 1

Background: High-resolution modeling

t = 0.50 st = 1.0 s

t = 2.5 s t = 4.5 s

Two-phase Navier-Stokes models for breaking waves and accurate predictions of forces on objects (cm scale resolution)

Page 2: US Army Corps of Engineers ® Engineer Research and Development Center 1 Background: High-resolution modeling t = 0.50 s t = 1.0 s t = 2.5 st = 4.5 s Two-phase

US Army Corps of Engineers®

Engineer Research and Development Center 2

A Typical Simulation for IED Detection

• Desert road

• Domain is 30m x 30m x 1m

• 24.5M tetrahedral soil elements

• ~5M triangular vegetation elements

• Full simulation is 336 processors

• Runs about 1/8 real time

Page 3: US Army Corps of Engineers ® Engineer Research and Development Center 1 Background: High-resolution modeling t = 0.50 s t = 1.0 s t = 2.5 st = 4.5 s Two-phase

US Army Corps of Engineers®

Engineer Research and Development Center 3

Timeline of Mesh Sizes

2005 2006 2007 2008 2009 2010

100 m2

1200 m26 m2

1 m2

Domain Size Trends– FY05 ~1 m2

– FY06 ~10 m2

– FY07 ~100 m2

– FY08 ~1000 m2

– FY09 ~1600 m2

– FY10 ~3000 m2

1600 m2

900 m2

Page 4: US Army Corps of Engineers ® Engineer Research and Development Center 1 Background: High-resolution modeling t = 0.50 s t = 1.0 s t = 2.5 st = 4.5 s Two-phase

US Army Corps of Engineers®

Engineer Research and Development Center 4

High-resolution isn’t everything

•Model Domain: 7632 mi2

• River Length (main stem): 245 mi•Mesh (2D 0.3 M, 3D 7 M)

CREST (from http://eos.ou.edu)

Highly-resolved simulations are computationally and data intensive

Page 5: US Army Corps of Engineers ® Engineer Research and Development Center 1 Background: High-resolution modeling t = 0.50 s t = 1.0 s t = 2.5 st = 4.5 s Two-phase

US Army Corps of Engineers®

Engineer Research and Development Center 5

Transitioning scales: Downscaling parameters

From Hendrickx, Pradhan, et al.

OriginalMODISgrid

MODISresolutionSub-gridedtoLandsatscale

Landsat imagery

Moving windowpixels regressedparameterestimation

Downscaling

MODISdown-ScaledNDVI€

F = min (b0i=1

n

∑ +b1x i − y i)

SEBAL derived IC (a), GSSHA with constant ICs (b-e), GSSHA with SEBAL IC (f)

Page 6: US Army Corps of Engineers ® Engineer Research and Development Center 1 Background: High-resolution modeling t = 0.50 s t = 1.0 s t = 2.5 st = 4.5 s Two-phase

US Army Corps of Engineers®

Engineer Research and Development Center 6

Hendrickx, 2009

GSSHA

Distributed runoff/routing

Diffusive Wave

2D Shallow-Water

Variable Infiltration Curve

1D-v Richards’ 2D groundwater

3D-Richards’

Two-phase subsurface flow

3D Shallow Water

Two-phase Navier-Stokes

complexity

A step towards operational multi-resolution, multi-scale hydrology

Information propagates downCoarsen physical model with spatial scale

Couple models across scalesMore rigorous upscaled and reduced order models from fine scale

2015?


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