Marcin L. Witek; Piotr J. Flatau; João Teixeira; Douglas L. Westphal
Witek, M.L., P.J. Flatau, J. Teixeira, and D. Westphal. Coupling an ocean wave model with a global aerosol transport model: a sea salt aerosol parameterization perspective, Geophys. Res. Letters, 34, L14806, doi:10.1029/2007GL030106, 2007.
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Coupling an ocean wave model with a global aerosol transport model:
A sea salt aerosol parameterization perspective
Marcin L. Witek, 1 Piotr J. Flatau, 2 Joa˜o Teixeira, 3 and Douglas L. Westphal 4
Received 22 March 2007; revised 1 June 2007; accepted 18 June 2007; published 19 July 2007.
[1] A new approach to sea salt parameterization is
proposed which incorporates wind-wave characteristics
into the sea salt emission function and can be employed
globally and under swell-influenced conditions. The new
source function was applied into Navy Aerosol Analysis
and Prediction System model together with predictions from
the global wave model Wave Watch III. The squared
surface wind velocity U10 and the wave’s orbital velocity
Vorb=pHs/TP are shown to be the key parameters in the
proposed parameterization. Results of the model simulations
are validated against multi-campaign shipboard measurements
of the sea salt aerosol. The validations indicate a good
correlation between Vorb and the measured surface
concentrations. The model simulations with the new
parameterization exhibit an improved agreement with the
observations when compared to a wind-speed-only
approach. The proposed emission parameterization has the
potential to improve the simulations of sea salt emission
in aerosol transport models. Citation: Witek, M. L., P. J.
Flatau, J. Teixeira, and D. L. Westphal (2007), Coupling an ocean
wave model with a global aerosol transport model: A sea salt
aerosol parameterization perspective, Geophys. Res. Lett. , 34,
L14806, doi:10.1029/2007GL030106.
1. Introduction
[2] Sea salt aerosol is one of the most abundant compo-
nents of the atmospheric aerosol, with an estimated mass
emission from 0.3 to 30 teragrams (10 12 kg) per year [ Lewis
and Schwartz , 2004]. It exerts a strong influence on
radiation, cloud formation, meteorology and chemistry of
the marine atmosphere. An accurate understanding and
description of these mechanisms is crucial to modeling
climate and climate change.
[3] Recent studies [ Andreas, 1998; Guelle et al. , 2001;
Lewis and Schwartz , 2004] revealed large uncertainties in
simulating the life cycle of the sea salt aerosol. Emission
parameterizations available in the literature differ by several
orders of magnitude in predicting number and mass pro-
duction. There is no agreement about the size distribution of
emitted particles. The observed uncertainties put into ques-
tion the legitimacy of parameterizations based solely on
atmospheric parameters such as wind speed or wind friction
velocity. It has been suggested [e.g., Xu et al. , 2000; Zhao
and Toba , 2001; Stramska and Petelski , 2003] that ocean
wave characteristics like significant wave height Hs, peak
wave period Tp or wave steepness could serve as good
candidates for emission parameterization. However, simul-
taneous measurements of sea-salt aerosol properties and Hs
or Tp are not common. On the other hand there is the
possibility for the development of more sophisticated
approaches based on numerical global ocean wave models.
Such models provide wave quantities such as Hs, Tp and
allow for investigations of their impact on the sea salt
emission.
[4] Recently some wave-state-dependent sea salt emis-
sion parameterizations were proposed. Zhao and Toba
[2001] relate the whitecap ratio W to the nondimensional
breaking wave parameter Rb = u*
2/nwp where u* is the
friction velocity, wp is the peak angular frequency of the
waves and n is the kinematic viscosity of air. As an
alternative, Zhao and Toba [2001] proposed another non-
dimensional scaling parameter, Rh = u*Hs/n, which incor-
porates the significant wave height Hs into the whitecap
ratio parameterization. However, both functions are limited
to the case of wind-waves in local equilibrium with the
wind. There are often conditions in the open ocean, where
swell is predominant. Independent studies of the sea surface
roughness [Taylor and Yelland, 2001; Drennan et al. , 2005]
show that the presence of swell acts, on average, to
significantly decrease the effective wave steepness and
hence the mean roughness compared to that for pure
wind-sea. This, consequently, affects the momentum trans-
fer between air and sea and the wave breaking probability.
[5] Another example is the study of Petelski et al. [2005],
where the sea spray emission parameterization in the form
FE =A /C1(Hs1/2/C1U102 )2/3 + B is proposed. Here FE is the
emission flux expressed in mgm/C02s/C01, Hs [m] is the signif-
icant wave height, U10 [m/s] is the wind speed at 10 meters
above the sea surface and the coefficients A =1 . 2 /C210/C06;
B = /C01.6 /C210/C07 are in units defined by the above listed
units of FE, HS and U10. This expression was determined
specifically for the Baltic Sea and is not supposed to be
applied over open oceans globally.
2. Approach
[6] Our approach is based on the whitecap method [ Lewis
and Schwartz , 2004, p. 105]. The size-dependent sea salt
aerosol production flux over whitecap area only, i.e. the
differential whitecap aerosol productivity, is taken after
Monahan et al. [1986, equation (4)]. Integrated over dry
particle sizes it gives the sea salt mass emission per unit area
per unit of time and the multiplication by the fraction W of
GEOPHYSICAL RESEARCH LETTERS, VOL. 34, L14806, doi:10.1029/2007GL030106, 2007
1University of Warsaw, Institute of Geophysics, Warsaw, Poland.
2Scripps Institution of Oceanography, University of California, San
Diego, California, USA.
3NA TO Undersea Research Centre, La Spezia, Italy.
4Marine Meteorology Division, Naval Research Laboratory, Monterey,
California, USA.
Copyright 2007 by the American Geophysical Union.
0094-8276/07/2007GL030106$05.00
L14806 1o f4
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the sea surface covered by whitecaps completes the emission
parameterization. The whitecap ratio W is defined as
W ¼ aU 2
10
Hs
Tp
;
where U10 [m/s] is the wind speed at 10 meters above the
sea surface, Hs [m] is the significant wave height, Tp [s] is
the peak wave period, and a [s3/m3] is a constant. The
parameter Hs/Tp is proportional to the dominant wave’s
orbital velocity Vorb=p Hs/Tp, which is the velocity of water
at the air-sea interface in its circular movement in a wave.
[7] Thus, following the whitecap method approach
[Lewis and Schwartz , 2004, p. 105], the sea salt mass
emitted from the ocean’s surface is
F ¼ 1:055 /C210/C02 /C2U 2
10
Hs
Tp
:
[8] F is expressed in mgm/C02s/C01 and is defined for
particles with dry radius between 0.05 /C20rdry /C204 microns.
[9] The new source function is implemented into the
Navy Aerosol Analysis and Prediction System (NAAPS)
model [ Christensen, 1997; Witek et al. , 2007]. NAAPS is a
global off-line aerosol and pollution transport model that
operates at 1 degree horizontal resolution and 24 vertical
terrain-following sigma levels. The model was modified to
incorporate output data from the global wave model Wave
Watch III (WW3) [ Tolman, 1999]. The parameters that were
used in NAAPS were the significant wave height Hs and the
peak wave period Tp.
[10] Results of the simulations are validated against
multi-campaign shipboard measurements of sea salt surface
mass concentrations carried out by the NOAA Pacific
Marine Environmental Laboratory (PMEL). The experi-
ments considered here are Aerosols99-INDOEX, ACE-
Asia, NEAQS-2002 and NEAQS – ITCT 2004. Chemical
measurements of sub- and super micron mass concentra-
tions were carried out on board of the NOAA research
vessel R/V Ronald B. Brown. The temporal resolution was
about 6 hours; the observations covered parts of the Pacific,
Atlantic and Indian Oceans.
3. Results
[11] Figure 1 presents a comparison of emission values
obtained with the new and the wind-speed-only dependent
[Monahan et al. , 1986, equation (12); Witek et al. , 2007]
source functions. A sample output data from the global
1/C21.25 degree WW3 model (date: 7-Aug-2004, 12UTC;
source: NOAA archives, ftp://polar.ncep.noaa.gov/pub/his-
tory/waves) was used as a source of U10, Hs and Tp. The
new parameterization produces large scatter in emissions for
a given wind velocity. Emission varies over one order of
magnitude at 5 m/s and the spread gradually decreases as
the wind speed increases. Such variation could partially
explain large scatter in emissions predicted by existing
parameterizations [ Andreas, 1998; Lewis and Schwartz ,
2004]. Lower emission in the high wind speed regime
concurs with previous suggestions [ Andreas, 1998; Witek
et al. , 2007] that Monahan’s parameterization might over-
estimate emission under strong wind speed conditions.
[12] A detailed analysis of measured and modeled sea salt
surface mass concentrations from Aerosols99 and INDOEX
experiments was performed. Figure 2 presents the PMEL
group measurements and the model results from the south-
ern Atlantic Ocean (Aerosols99-Leg 1). Figure 3 presents
similar results but for data from the Indian Ocean
(INDOEX). Figure 3 (top) shows the observed and modeled
sea salt surface mass concentrations during the cruise. Two
independent transport model simulations were performed:
one with the reference Monahan emission source function
(dotted line) and the second with the proposed parameter-
ization (dashed line). In Figure 3 (bottom), left axis, shows
measured surface wind speed (solid line), averaged over the
aerosol filter collection period (typically 6 hours) and the
model wind velocity (dotted line). The right axis in Figure 3
(bottom) (dashed line) shows the wave’s orbital velocity
Vorb during the cruise.
[13] A first-glance evaluation of the results reveals a good
correlation between the wave’s orbital velocity and the
measured sea salt mass concentrations. Episodes of in-
creased Vorb correspond to higher aerosol loadings on days
29th, 34th and 36th. Lower values of Vorb correspond to
minimum observed sea salt mass concentrations. Such
behavior is often observed despite local wind conditions.
For instance, around day 31 and 57 the winds were strong
enough (over 6 m/s) to expect increased aerosol concen-
trations. Such increase is not observed suggesting that low
Vorb might have suppressed aerosol production. Figure 3
illustrates another episode between days 76 – 82 and shows
a possible influence of the orbital velocity as a factor
driving the sea salt emission. During the episode surface
wind velocity gradually decreased from 11 to about 6 m/s.
The surface sea salt mass concentrations exhibit an opposite
trend, rising from about 7 to 13 mgm/C03. This increase
corresponds well with the changes in Vorb. Transport model
simulations show that the proposed emission parameteriza-
tion is able to capture the trend of the surface sea salt mass
concentrations change during this episode, surpassing the
wind-speed-only parameterization in accuracy.
Figure 1. Sea salt mass emission as a function of surface
wind velocity. Black points represent the reference
(Monahan’s) parameterization whereas gray points repre-
sent the proposed parameterization.
L14806 WITEK ET AL.: NAAPS-WW3 COUPLING—SEA SALT EMISSION L14806
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[14] In Table 1 correlation coefficients between the
PMEL group sea salt measurements and the NAAPS model
results are presented. Cases where no precipitation was
observed were selected. For most analyzed campaigns, with
the exception of INDOEX, an improved or similar correla-
tion is observed. The lower INDOEX correlation, however,
is in contradiction with the previous analysis that indicated a
better agreement with observations (see Figure 3). This may
indicate a limited ability of the correlation coefficient to
fully characterize the model’s performance. Therefore, a
detailed investigation of concentration trends is needed to
properly evaluate the model’s performance.
4. Discussion and Conclusions
[15] The squared surface wind velocity U10 and the
wave’s orbital velocity Vorb = pHs/Tp are shown to be key
parameters for a proposed parameterization of the sea salt
Figure 2. (top) Sea salt surface mass concentrations during Aerosols99 (Leg 1, Southern Hemisphere only) experiment.
Solid line represents PMEL group observations; NAAPS results from two simulations, one with reference emission
parameterization and the other with the proposed emission scheme are represented by dotted and dashed lines, respectively.
(bottom) Left axis, ship measurements (solid line) and NOGAPS (dotted line) surface wind velocities; right axis, wave’s
orbital velocity (dashed line) ( Vorb = pHs/Tp).
Figure 3. Same as Figure 2 but for INDOEX experiment.
L14806 WITEK ET AL.: NAAPS-WW3 COUPLING—SEA SALT EMISSION L14806
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emission. The parameter Vorb, although new in such appli-
cation, can be inferred from some previous papers. Studies
of Zhao and Toba [2001] and Petelski et al. [2005] suggest
that emission is proportional to the significant wave height
(F / Hs). Their arguments are additionally supported by the
fact that HS is proportional to the square root of the total
wave energy E. Higher E implies larger dissipation, reflected
by more frequent wave breaking and thus enhanced aerosol
production.
[16] However, the inverse proportionality to the peak
wave period ( F / HP
/C01) is not well documented in the
literature. The wave period is proportional to the square root
of the length L of a wave, therefore Hs/Tp is related to the
wave steepness S = Hs/L. A more quantitative argument can
be derived from statistical analysis of output data from the
wave model. A correlation coefficient between the surface
wind velocity U10 and a combination of the Hs and Tp
values ( Hs
xTp
y, where x and y ranged between [ /C03, 3]) was
computed. The highest correlation (results not shown) was
found when x =1a n d y = /C01. This indicates closer
relationship between U10 and Hs/Tp rather than between
U10 and Hs alone.
[17] The presented parameterization for the sea salt
emission function, due to the high correlation between Vorb
and U10, preserves characteristics of previously published
wind-speed-only parameterizations. At the same time it
introduces additional variability, as shown in Figure 1,
dependent on wave characteristics and wave-state develop-
ment. The computed orbital velocity correlates well with
observed trends of the sea salt surface mass concentrations,
often giving better agreement than that based on surface
wind velocity only. Such behavior indicates a potential for
the use of Vorb in improving emission parameterizations.
Another novel aspect of this work is that the new source
function was applied into NAAPS model together with
predictions from the global wave model WW3. Parameters
that were used in NAAPS were significant wave height Hs
and peak wave period Tp. Results of the simulations were
validated against multi-campaign shipboard measurements
of the sea salt aerosol, including Aerosols99-INDOEX,
ACE-Asia, NEAQS-2002 and NEAQS – ITCT 2004.
V alidations indicate good correlation between simulated
and measured sea salt surface mass concentrations. Further
research should be undertaken to validate these findings and
to assess the usefulness of Vorb in sea salt emission param-
eterization as well as usefulness of coupling between
transport models and global wave models.
[18] Acknowledgments. This work was partially supported by the
Office of Naval Research NICOP grants N000140410519 and
N000140510673. The support of the Office of Naval Research and the
Naval Research Laboratory through program PE-0602435N is gratefully
acknowledged.
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/C0/C0/C0/C0/C0/C0/C0/C0/C0/C0/C0/C0/C0/C0/C0/C0/C0/C0/C0/C0/C0/C0/C0
P . J. Flatau, Scripps Institution of Oceanography, University of
California, San Diego, CA 92093, USA.
J. Teixeira, NA TO Undersea Research Centre, Viale San Bartolomeo 400,
I-19138 La Spezia, Italy.
D. L. Westphal, Marine Meteorology Division, Naval Research
Laboratory, 7 Grace Hopper Ave., Monterey, CA 93943, USA.
M. L. Witek, Institute of Geophysics, University of Warsaw, ul. Pasteura 7,
02-093 Warsaw, Poland. (mwit@igf.fuw.edu.pl)
Table 1. Correlation Coefficients Between the PMEL Group Sea Salt Aerosol Observations and the NAAPS Results From Two
Simulations for Each of the Experiments a
Aerosols99 INDOEX ACE-Asia NEAQS-2002 NEAQS-2004
Number of observations 48 83 37 39 52
Old 0.72 0.84 0.57 0.45 0.94
New 0.79 0.77 0.62 0.47 0.93
a‘Old’ stands for the NAAPS simulation with the reference emission function. ‘New’ stands for the NAAPS simulation with the proposed emission
parameterization. The numbers of free of precipitation comparison points for each of the experiments are also shown.
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