The advection–condensation model and water‐vapour probability density functions

Sukhatme, Jai; Young, W. R.

doi:10.1002/qj.869

Cited by 24 publications

(48 citation statements)

References 30 publications

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“…From (3.6a), we thus find that p = 0 + O(ε 3 ) along the top wall. Instead of obtaining the pressure field from separate asymptotic expansions in each region, we make use of the approximate hydrostatic relationship to write 22) and hence the force on either wall is 23) where the latter expression is obtained by using (3.22) and interchanging the order of the two integrals. The net force is the difference between (3.23) for the front and rear walls.…”

Section: Force Calculationmentioning

confidence: 99%

“…where the main error is due to the O(ε 1/3 ) corrections in the ε 1/2 layer and the neglect of O(ε 1/6 ) variations in the ε 2/3 layer near z = h. Hence the speed of the wedge is 23) as this is the value for which F = 0.…”

Section: Force Calculationmentioning

confidence: 99%

“…They were able to analytically compute the moisture flux and the condensation rate in the Ballistic and Brownian limits; they computed the same quantities numerically in the 1D/2D case. Sukhatme and Young [23] were able to solve for the PDF, the moisture flux and the condensation rate in the general case (giving significant insight in the physics of the process), but they had to come back to a white noise process for the velocity field. Thus, our first motivating questions are: What are the physics of the advectioncondensation model in the case where the velocity process has a finite timecorrelation?…”

Section: Distribution Of Moisture In the Atmospherementioning

confidence: 99%

“…We model the source term S following [23]. The model "resets" the specific humidity q to a random value chosen from a specified distribution Φ(q) when it encounters the Southern boundary of the domain (y = 0).…”

Section: Preliminary Assumptionsmentioning

confidence: 99%

“…Rather than calculating the net force on either the wedge or the bounding box (which are now both lined with boundary layers), we use an intermediate surface (shown in figure 7) which intersects the outer regions away from any boundary layers (apart from the ones at z = h which cannot be avoided). The net force on (the top half of) the wedge is then given by a formula similar to (3.24), and we use the composite solution (4.21) to obtainwhere the main error is due to the O(ε 1/3 ) corrections in the ε 1/2 layer and the neglect of O(ε 1/6 ) variations in the ε 2/3 layer near z = h. Hence the speed of the wedge is 23) as this is the value for which F = 0. …”

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confidence: 99%

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2015 program of study : stochastic processes in atmospheric and oceanic dynamics

Wettlaufer¹,

Bühler²

2016

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PrefaceStochastic Processes in Atmospheric & Oceanic Dynamics was the theme at the 2015 GFD Program. Professors Charlie Doering (University of Michigan) and Henk Dijkstra (University of Utrecht) were the principal lecturers. Their lectures were collectively twopronged. The first prong was launched by Charlie, who laid down the mathematical foundations of random variables, stochastic processes and the nature and analysis of stochastic differential equations. In the second, Henk took us through the many places in the Atmosphere, Ocean and Climate system where the infrastructure from the first prong plays out.John Wettlaufer and Oliver Bühler were the stochastic co-directors. In keeping with the theme, the Cottage was in constant motion with many visitors and long-term staff members. Following the thematic principal lectures, the seminar room was busy all summer, with talks spanning an impressive range of topics that we are typically fortunate to experience in Walsh Cottage. Importantly, some of the newer staff ably jumped into the supervision of fellows projects -directly or indirectly. The fellows pursued a rich range of projects and have produced a fine set of reports. As usual they came from far and wide:• Yana Bebieva, Yale University As the second week wound down, the 2015 GFD Sears Public Lecture was given by Susan Solomon (MIT) in Redfield Auditorium. She took us through a fascinating success story of how science impacted policy and eventually the global economy in her talk "Ozone Depletion: A Science and Policy Success Story." As a key player in the Ozone Hole Saga, Susan's talk drew a large and engaged audience, who asked many questions.Some important acknowledgements: Support from Anders Jensen in the laboratory was appreciated, particularly as the going with some sensors got tough. Annie Doucette, Janet Fields and Julie Hildebrandt formed the administrative team that ensured the program ran with admirable efficiency. Srikanth Toppaladoddi, a 2012 fellow, was of great help in corralling the disparate piece of the proceedings. We are indebted to WHOI i Academic Programs Office, who continue to provide an ideal atmosphere.Finally, we note that the passing of Louis Howard, who impacted the program in countless ways, marked the summer in a for Louis at Carriage House was organized by George Veronis. Those of us who were fortunate to attend were emboldened by the many and varied stories shared by the participants. His smile, encouragement and scientific sage will be deeply missed. A detailed obituary is found at the following link: https://math.mit.edu/about/history/obituaries/howard.php Fellows' ReportsThe Internal wave excitation by turbulent convectionJuly 6 -July 10 Monday, July 6: Dhrubaditya Mitra, Nordic Institute for Theoretical Physics Fluid dynamics with (large and small) ballsTuesday, July 7 : Charlie Doering, University of MichiganHeat transport in turbulent (and not-so-turbulent) convection ix Wednesday, July 8: Gregory Wagner, University of California, San Diego Coupled evolution of near-i...

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Section: Force Calculationmentioning

confidence: 99%

Section: Force Calculationmentioning

confidence: 99%

Section: Distribution Of Moisture In the Atmospherementioning

confidence: 99%

Section: Preliminary Assumptionsmentioning

confidence: 99%

mentioning

confidence: 99%

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2015 program of study : stochastic processes in atmospheric and oceanic dynamics

Wettlaufer¹,

Bühler²

2016

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Long temporal autocorrelations in tropical precipitation data and spike train prototypes

Abbott

Stechmann

Neelin

2016

Geophysical Research Letters

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Temporal precipitation autocorrelations drop slower than exponentially at long lags, and there is a range from tens to thousands of minutes where it is relevant to ask if a scale‐free process might underlie the long autocorrelations. A simple stochastic model in which precipitation appears as variable‐length spikes provides a reasonable prototype for this behavior. In both observations and the model, separating the component of the autocorrelation within wet events from the interevent contribution suggests long autocorrelation behavior is primarily associated with the latter. When precipitation spikes are short compared to dry events, a true power law is obtained with analytical exponent −0.5 and precipitation autocorrelation is determined by dry‐spell model parameters. In more realistic cases, wet‐spell termination is also important. Although a variety of apparent power law exponents can be obtained for different parameters, the fundamental long‐lag process appears to be that of the interevent correlation.

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Low-frequency modes in an equatorial shallow-water model with moisture gradients

Sukhatme

2013

Q.J.R. Meteorol. Soc.

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Motivated by observations of the mean state of tropical precipitable water (PW), a moist, first baroclinic mode, shallow‐water system on an equatorial β‐plane with a background saturation profile that depends on latitude and longitude is studied. In the presence of a latitudinal moisture gradient, linear analysis of the non‐rotating problem reveals large‐scale, symmetric, eastward and westward propagating unstable modes. The introduction of a zonal moisture gradient breaks the east–west symmetry of the unstable modes. The effects of rotation are then included by numerically solving the resulting eigenvalue problem on an equatorial β‐plane. With a purely meridional moisture gradient, the system supports large‐scale, low‐frequency, eastward and westward moving neutral modes. Some of the similarities, and some of the discrepancies of these modes with intraseasonal tropical waves are pointed out. Finally, a zonal moisture gradient in the presence of rotation renders some of the aforementioned neutral modes unstable. In particular, according to observations of large‐scale, low‐frequency tropical variability, it is seen that regions where the background saturation profile increases (decreases) to the east favour eastward (westward) moving moist modes.

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The advection–condensation model and water‐vapour probability density functions

Cited by 24 publications

References 30 publications

2015 program of study : stochastic processes in atmospheric and oceanic dynamics

2015 program of study : stochastic processes in atmospheric and oceanic dynamics

Long temporal autocorrelations in tropical precipitation data and spike train prototypes

Low-frequency modes in an equatorial shallow-water model with moisture gradients

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