Oct. 2008 1

WRF 4D-Var System

Xiang-Yu Huang, Xin ZhangQingnong Xiao, Zaizhong Ma, John Michalakes, Tom henderson and Wei Huang

MMM DivisionNational Center for Atmospheric Research

Boulder, Colorado, USA

Oct. 2008 2

Contents

• Current status of WRF 4D-Var

• Scientific Performance of WRF 4D-Var

• Software Engineering Performance of WRF 4D-Var

• On-going Works

Oct. 2008 3

(old forecast)

(new)

(initial condition for NWP)

x

4D Variational Data Assimilation

Oct. 2008 4

J' vn= vn + vi + UTSV-WT Mk

TSW-VTHk

TR-1[HkSW-VMkSV-WU-1 vn + Hk(Mk(xn-1)) – yk]

n-1

i=1

K

k=1

Black – WRF-3DVar [B, R, U=B1/2, vn=U-1 (xn-xn-1)]Green – modification requiredBlue – existing (for 4DVar)--WRFRed – new development

(Huang, et.al. 2006: Preliminary results of WRF 4D-Var. WRF users’ workshop, Boulder, Colorado.)

Current Status of WRF 4D-Var

WRF AD WRF TL ARW WRF

Oct. 2008 5

Basic system: 3 exes, disk I/O, parallel, full dyn, simple phys, JcDF

QuickTime™ and aTIFF (LZW) decompressor

are needed to see this picture.

Oct. 2008 6

Single Observation Experiments

QuickTime™ and aTIFF (LZW) decompressor

are needed to see this picture.

Oct. 2008 7

QuickTime™ and aTIFF (LZW) decompressor

are needed to see this picture.

Oct. 2008 8

QuickTime™ and aTIFF (LZW) decompressor

are needed to see this picture.

Oct. 2008 9

QuickTime™ and aTIFF (LZW) decompressor

are needed to see this picture.

Oct. 2008 10

QuickTime™ and aTIFF (LZW) decompressor

are needed to see this picture.

Oct. 2008 11

Multi-incremental 4D-Var (Adopted from The Operational Data Assimilation System, Lars Isaksen, ECMWF)

Oct. 2008 12

Haitang case

Outerloop15km,

271x217x17,time step: 90s

Innerloops45km, 91x73x17, time step: 240s

135km, 31x25x17, time step :600s

Oct. 2008 13

Convert WRF-Var on A-grid to WRF on C-grid (By Rizvi)

V V V V

U X U X U X U X U

V V V V

U X U X U X U X U

V V V V

U X U X U X U X U

V V V V

U X U X U X U X U

V V V V

Oct. 2008 14

What is needed for C-Grid?

• Observation operators, its tangent linear and adjoint

• Computation of innovations

• Computation of gradients

• PSI-CHI to UV solver and its adjoint

• Tackle Halo region for MPI run

Oct. 2008 15

Analysis difference (A2C - trunk)Only GPSPW Obs.

Date: 2007010200 Date: 2007081900

CONUS 200 KM T8 15 KM

Oct. 2008 16

Scientific Performance of WRF 4D-Var

Typhoon Haitang experiments:

5 experiments, every 6 h, 00Z 16 July - 00 Z 18 July, 2005. Typhoon Haitang hit Taiwan 00Z 18 July 2005

• FGS – forecast from the background [The background fields are 6-h WRF forecasts from NCEP GFS analysis.]

• AVN – forecast from the NCEP GFS analysis• 3DVAR – forecast from WRF 3D-Var• FGAT – first guess at appropriate time ( A option of WRF-3DVAR)• 4DVAR – forecast from WRF 4D-Var

Domain size: 91x73x17Resolution: 45 kmTime Window: 6 Hours,Observations: GTS conventional observations, bogus data from CWB

Oct. 2008 17

Typhoon Haitang Verification

48-h forecast typhoon tracks from FGS, AVN, 3DVAR, FGAT, 4DVAR, together with the observed best track. Forecasts are all started from 0000 UTC 16 July 2005.

Oct. 2008 18

KMA Heavy Rain Case

• Period: 12 UTC 4 May - 00 UTC

9 May, 2006

• Grid : (60,54,31)

• Resolution : 30km

• Domain size: the same as the

operational 10km do-main.

• Assimilation window: 6 hours

• Warm started cycling run

Oct. 2008 19

Precipitation Verification

0.1 mm Precipitation

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3 6 9 12 15 18 21 24

FCST Time (hours)

CSI3dvar4dvar

5mm Precipitation

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FCST Time (Hours)

CSI3dvar4dvar

15 mm Precipitation

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0.25

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0.35

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3 6 9 12 15 18 21 24

FCST Time (Hours)

CSI3dvar4dvar

25 mm Precipitation

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3 6 9 12 15 18 21 24

FCST Time (Hours)

CSI3dvar

4dvar

Oct. 2008 20

T8 domain case study

Period:2007081500-2007082100

Size: 123x111x27

Resolution: 45km

Experiment design:

3/6 hours GFS forecast as FG

1. 3DVAR

2. 4DVAR

cycling run, 24h forecast after analysis

Observations used:

sound sonde_sfc synop geoamv

airep pilot ships qscat gpspw gpsref

Oct. 2008 21

Track and Intensity Forecast

3D-Var 4D-Var

Oct. 2008 22

The radar data assimilation experiment using WRF 4D-VarYong-Run Guo and Jenny Sun

TRUTH ----- Initial condition from TRUTH (13-h forecast initialized at 2002061212Z from AWIPS 3-h analysis) run cutted by ndown,

boundary condition from NCEP GFS data. GFS ----- Both initial condition and boundary condition from NCEP

GFS data.3DVAR ----- 3DVAR analysis at 2002061301Z used as the initial

condition, and boundary condition from NCEP GFS. Only Radar radial velocity at 2002061301Z assimilated (total # of data points = 65,195).

4DVAR ----- 4DVAR analysis at 2002061301Z used as initial condition, and boundary condition from NCEP GFS. The radar radial velocity at 4 times: 200206130100, 05, 10, and 15, are assimilated (total # of data points = 262,445).

Oct. 2008 23

TRUTH GFS

4DVAR3DVAR

Hourly precipitation ending at 03-h forecast

Oct. 2008 24

TRUTH GFS

3DVAR 4DVAR

Hourly precipitation ending at 06-h forecast

Oct. 2008 25

Real data experiments

QuickTime™ and a decompressor

are needed to see this picture.

GFS

3DVAR

OBS

4DVAR

Oct. 2008 26

• For general cases, the performance of WRF 4D-Var is comparable with WRF 3D-Var.

• For some fast developing, fine scale cases such as squall line, tropical cyclone, heavy rainfall case , WRF 4D-Var does a much better job than 3D-Var.

Oct. 2008 27

Software Engineering Performance of WRF 4D-Var

• Ability to assimilation all kinds of observation as 3D-Var (Radiance and Radar).

• Both serial and parallel runs are supported.

• Tested Platforms: IBM with XLF, Linux with PGI ,INTEL & G95, Mac G5 with G95 & XLF.

• Multi-incremental 4D-Var.

• Flexible assimilation time window (for example, 15 minutes ~ 6 hours)

Oct. 2008 28

Preliminary Disk IO Optimization-Case StudyTrade memory for Disk IO in 4D-Var

Domain size:151x118x31

Resolution:4km

Time-step: 25s

Time window:15m

# of iterations: 60

Obs.: OSSE radar wind

# of obs.: 262517

In this case, 82% disk IO was replaced by memory IO

Wall-clock time

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32 64 128

# of CPUs

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BeforeAfter

Total Memory Usage

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32 64 128

# of CPUs

GBBeforeAfter

Oct. 2008 29

On-going Works

• Remove Disk IO which is used as communication among WRF 4D-Var

components, ESMF is a candidate.(~50% wall-clock time reduction, improve

parallel scalability)

• Cleanup solve_em_ad (~90% cost), trade re-computation with memory

(another ~50% wall-clock time reduction).