3D Vortices in Rotating, Stratified Flows in the Lab, Ocean, Planetary Atmospheres and Protoplanetary Disks

A common assumption concerning vortices in the ocean and atmosphere is that their “aspect ratios”, defined as their characteristic vertical thicknesses divided by their average diameters, are functions only of the vertical stratification (or Rossby deformation radius, or Brunt-Vaisala frequency N) of the surrounding fluid and of the local Coriolis parameter f, and not on any of the properties of the vortices themselves such as their Rossby numbers, diameters, or the internal stratifications within the vortices. In particular, the common assumption is that the aspect ratio is f/N. Our simulations, lab experiments and analyses show that this assumption is false and can be off by factors of 10-100. We have determined the proper scaling law for the aspect ratio. Our results have implications for planetary vortices, where the vertical thickness cannot be directly measured and is often inferred (incorrectly) by the f/N assumption. Understanding the physics that determines the vertical thickness is a needed first step in determining the stability of 3D vortices. In addition, understanding and being able to correctly compute the vertical aspect ratio of vortices is necessary for our current project of determining the secondary (meridional and vertical) circulations within vortices. The latter are important to understand vertical and horizontal transport within a vortex and also within an ocean or atmosphere filled with vortices. For example, a detailed knowledge of the secondary circulations is important to understand color changes in the vortices of Jupiter (i.e., its Great Red Spot), the accumulation and agglomeration of dust into planetesimals in protoplanetary disks and the vertical transport of carbon dioxide from the ocean surface to greater depths.

Relevant Research

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Michael H. Wong, Philip S. Marcus, Amy A. Simon, Imke de Pater, Joshua W. Tollefson, Xylar S. Asay-Davis (2021) Evolution of the Horizontal Winds in Jupiter's Great Red Spot From One Jovian Year of HST/WFC3 Maps, Geophysical Research Letters 48(18), p. e2021GL093982, pdf, doi:10.1029/2021GL093982

Joshua W. Tollefson, Michael H. Wong, Imke de Pater, Amy A. Simon, Glenn S. Orton, John H. Rogers, Sushil K. Atreya, Richard G. Cosentino, William Januszewski, Raúl Morales-Juberías, Philip S. Marcus (2017) Changes in Jupiter's Zonal Wind Profile preceding and during the Juno mission, Icarus 296, p. 163-178, pdf, doi:10.1016/j.icarus.2017.06.007

Mani Mahdinia, Pedram Hassanzadeh, Philip S. Marcus, Chung-Hsiang Jiang (2017) Stability of three-dimensional Gaussian vortices in an unbounded, rotating, vertically stratified, Boussinesq flow: Linear analysis, Journal of Fluid Mechanics 824, p. 97-134, pdf, doi:10.1017/jfm.2017.303

Lawrence A. Sromovsky, Imke De Pater, Patrick M. Fry, Heidi B. Hammel, Philip S. Marcus (2015) High S/N Keck and Gemini AO imaging of Uranus during 2012–2014: New cloud patterns, increasing activity, and improved wind measurements, Icarus 258(1), p. 192-223, url, doi:10.1016/j.icarus.2015.05.029

Amy A. Simon, Michael H. Wong, John H. Rogers, Glenn S. Orton, Imke de Pater, Xylar S. Asay-Davis, Robert W. Carlson, Philip S. Marcus (2014) Dramatic Change In Jupiter’s Great Red Spot From Spacecraft Observations, The Astrophysical Journal 797(2), p. L31, pdf, doi:10.1088/2041-8205/797/2/L31

Imke De Pater, Leigh N. Fletcher, Statia H. Luszcz-Cook, David DeBoer, Bryan J. Butler, Heidi B. Hammel, Michael L. Sitko, Glenn S. Orton, Philip S. Marcus (2014) Neptune's global circulation deduced from multi-wavelength observations, Icarus 237, p. 211-238, url, doi:10.1016/j.icarus.2014.02.030

Philip S. Marcus, Xylar S. Asay-Davis, Michael H. Wong, Imke De Pater (2013) Jupiter's red oval BA: Dynamics, color, and relationship to Jovian climate change, Journal of Heat Transfer 135(1), pdf, doi:10.1115/1.4007666

Oriane Aubert, Michaël Le Bars, Patrice Le Gal, Philip S. Marcus (2012) The universal aspect ratio of vortices in rotating stratified flows: Experiments and observations, Journal of Fluid Mechanics 706, p. 34-45, pdf, doi:10.1017/jfm.2012.176

S. C. Martin, Imke de Pater, Philip S. Marcus (2012) Neptune’s zonal winds from near-IR Keck adaptive optics imaging in August 2001, Astrophysics and Space Science 337(1), p. 65-78, url, doi:10.1007/s10509-011-0847-y

Sushil Shetty, Philip S. Marcus (2012) Erratum to " Changes in Jupiter's Great Red Spot (1979-2006) and Oval BA (2000-2006)" [Icarus 210 (2010) 182-201], Icarus 217(1), p. 432, pdf, doi:10.1016/j.icarus.2011.10.017

Philip S. Marcus, Sushil Shetty (2011) Jupiter's zonal winds: are they bands of homogenized potential vorticity organized as a monotonic staircase?, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 369(1937), p. 771-795, pdf, doi:10.1098/rsta.2010.0299

Michael H. Wong, Imke de Pater, Xylar S. Asay-Davis, Philip S. Marcus, Christopher Y. Go (2011) Vertical structure of Jupiter's Oval BA before and after it reddened: What changed?, Icarus 215(1), p. 211-225, pdf, doi:10.1016/j.icarus.2011.06.032

Sushil Shetty, Philip S. Marcus (2010) Changes in Jupiter’s great red spot (1979–2006) and oval BA (2000–2006), Icarus 210(1), p. 182-201, pdf

Xylar S. Asay-Davis, Philip S. Marcus, Michael H. Wong, Imke de Pater (2009) Jupiter’s shrinking Great Red Spot and steady Oval BA: Velocity measurements with the ‘Advection Corrected Correlation Image Velocimetry’ automated cloud-tracking method, Icarus 203(1), p. 164-188, url, doi:10.1016/j.icarus.2009.05.001

Tom D. Humphreys, Philip S. Marcus (2007) Vortex street dynamics: The selection mechanism for the areas and locations of Jupiter's vortices, Journal of the Atmospheric Sciences 64(4), p. 1318-1333, pdf, doi:10.1175/JAS3882.1

Sushil Shetty, Xylar S. Asay-Davis, Philip S. Marcus (2007) On the Interaction of Jupiter’s Great Red Spot and Zonal Jet Streams, Journal of the Atmospheric Sciences 64(12), p. 4432-4444, pdf, doi:10.1175/2007JAS2097.1

Philip S. Marcus (2004) Prediction of a global climate change Jupiter, Nature 428(6985), p. 828-831, pdf, doi:10.1038/nature02470

Ashraf Youssef, Philip S. Marcus (2003) The dynamics of jovian white ovals from formation to merger, Icarus 162(1), p. 74-93, pdf, doi:10.1016/S0019-1035(02)00060-X

Philip S. Marcus (1998) The Formation and Maintenance of the Zonal Winds of Jupiter and Saturn, NASA STI/Recon Technical Report N, p. 45688

Philip S. Marcus, Changhoon Lee (1994) Jupiter’s Great Red Spot and zonal winds as a self-consistent, one-layer, quasigeostrophic flow, Chaos: An Interdisciplinary Journal of Nonlinear Science 4(2), p. 269-286, American Institute of Physics, pdf

Philip S. Marcus (1993) Jupiter's Great Red Spot and other vortices, Annual Review of Astronomy and Astrophysics 31(1), p. 523-569, pdf

Philip S. Marcus, Joel Sommeria, Steven D. Meyers, Harry L. Swinney (1990) Models of the Great Red Spot, Nature 343(6258), p. 517-518, pdf, doi:10.1038/343517b0

Philip S. Marcus (1990) The Red Spot of Jupiter, The Impact of Mathematics: Nonlinear Mathematics, Chaos, and Fractals in Science: Proceedings of a Symposium Sponsered by the National Research Council, p. 47-51, National Academy Press

Philip S. Marcus (1988) Numerical simulation of Jupiter's great red spot, Nature 331(6158), p. 693-696, pdf, doi:10.1038/331693a0

Philip S. Marcus (1987) Spatial self-organization of vorticity in chaotic shearing flows, Nuclear Physics B (Proceedings Supplements) 2(C), p. 127-138, pdf, doi:10.1016/0920-5632(87)90013-2

Philip S. Marcus (1985) Coherent vortical features in a turbulent two‐dimensional flow and the Great Red Spot of Jupiter, Journal of the Acoustical Society of America 78(S1), p. S11-S11, pdf, doi:10.1121/1.2022646

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Michael H. Wong, Philip S. Marcus, Amy A. Simon, Imke De Pater, Xylar S. Asay-Davis (2021) Evolution of Great Red Spot Winds over the Past Jupiter Year, AGU Fall Meeting Abstracts, AGU, url

Aidi Zhang, Philip S. Marcus (2019) How the Great Red Spot of Jupiter Stays Alive while Losing Energy through Viscous and Radiative Dissipation, APS Division of Fluid Dynamics Meeting Abstracts, p. B13–004, pdf

Michael H. Wong, Imke De Pater, Amy A. Simon, Philip S. Marcus (2019) Jupiter's Great red spot is not disintegrating by flaking apart, AGU Fall Meeting Abstracts 2019, p. P13B–3502, url

Joshua W. Tollefson, Imke de Pater, Philip S. Marcus, Statia H. Luszcz-Cook, Lawrence A. Sromovsky, Patrick M. Fry, Leigh N. Fletcher, Michael H. Wong (2016) Vertical Wind Shear in Neptune's Atmosphere Explained with a Modified Thermal Wind Equation, AAS/Division for Planetary Sciences Meeting Abstracts 48, p. 415-421, url

Amy A. Simon, Michael H. Wong, John H. Rogers, Glenn S. Orton, Imke De Pater, Xylar S. Asay-Davis, Robert W. Carlson, Philip S. Marcus (2015) Dramatic Change in Jupiter's Great Red Spot, Lunar and Planetary Science Conference(GSFC-E-DAA-TN20643), pdf

Philip S. Marcus, Joshua W. Tollefson, Imke de Pater (2015) A New Generalized Thermal Wind Equation and its Application to Zonal Flows on the Gas Giant Planets, APS Division of Fluid Dynamics Meeting Abstracts, p. R30–001, url

Aaron White, Joseph A. Barranco, Philip S. Marcus, O Solari, K. M. Sayanagi (2014) Applying Advection-Corrected Correlation Image Velocimetry techniques to Saturn’s winds, American Astronomical Society Meeting Abstracts 223, p. 210-247

Philip S. Marcus, Pedram Hassanzadeh (2014) On the surprising longevity of Jupiter's centuries-old Great Red Spot, APS Division of Fluid Dynamics Meeting Abstracts, p. M17-001, pdf

Christopher Gebhart, Philip S. Marcus (2014) The Fluid Dynamics of Saturn's "String of Pearls'', APS Division of Fluid Dynamics Meeting Abstracts, p. E17-003, pdf

Pedram Hassanzadeh, Philip S. Marcus (2013) On the Unexpected Longevity of the Great Red Spot, Oceanic Eddies, and Other Baroclinic Vortices, APS Division of Fluid Dynamics Meeting Abstracts, p. L32-002, pdf

Pedram Hassanzadeh, Philip S. Marcus (2012) 3D baroclinic vortices in rotating stratified shear: from an orange great red spot to planet formation, APS Division of Fluid Dynamics Meeting Abstracts, p. D13-006, pdf

Michael H. Wong (2011) Oval BA (and the Great Red Spot) extend down to a supersolar water cloud layer in Jupiter’s atmosphere, EPSC-DPS Joint Meeting 2011 2011, p. 186, pdf

Philip S. Marcus, Sushil Shetty (2010) Jupiter's Zonal Winds: Are They Bands of Homogenized Potential Vorticity and Do They Form a Monotonic Staircase?, APS Division of Fluid Dynamics Meeting Abstracts 63, p. HG-002, pdf

Xylar S. Asay-Davis, Michael H. Wong, Imke de Pater, Philip S. Marcus (2010) Variability of Jupiter's zonal winds on multiple timescales, EGU General Assembly Conference Abstracts, p. 7369, pdf

Philip S. Marcus, Xylar S. Asay-Davis, Michael H. Wong, Imke De Pater, Christopher Y. Go (2008) New Observations and Simulations of Jupiter's Great, Little and Oval Red Spots and Stagnation Points and Their Interactions, AAS/Division for Planetary Sciences Meeting Abstracts 40, p. 3-53

Philip S. Marcus, Chung-Hsiang Jiang, Xylar S. Asay-Davis (2007) Jupiter's New Red Spot-An Indication of Climate Change?, APS Division of Fluid Dynamics Meeting Abstracts 60, p. GL-009, pdf

Sushil Shetty, Xylar S. Asay-Davis, Philip S. Marcus (2006) Modeling and Data Assimilation of the Velocity of Jupiter's Great Red Spot and Red Oval, APS Division of Fluid Dynamics Meeting Abstracts 59, p. FG-007, pdf

Sushil Shetty, Philip S. Marcus, Xylar S. Asay-Davis, Imke De Pater, Michael H. Wong, S Lockwood, Christopher Y. Go (2006) Modeling and Data Assimilation of the Velocity Fields of Jupiter's Great Red Spot, New Red Oval, and Zonal Jet Streams, AAS/Division for Planetary Sciences Meeting Abstracts 38, p. 3-11

Philip S. Marcus, Xylar S. Asay-Davis, Sushil Shetty, Imke De Pater, Michael H. Wong, S Lockwood, Christopher Y. Go (2006) Velocities and Temperatures of Jupiter's Great Red Spot and the New Red Oval and Their Implications for Global Climate Change, AAS/Division for Planetary Sciences Meeting Abstracts 38, p. 3-39

Xylar S. Asay-Davis, Sushil Shetty, Philip S. Marcus (2006) Extraction of Velocity Fields from Telescope Image Pairs of Jupiter's Great Red Spot, New Red Oval, and Zonal Jet Streams, APS Division of Fluid Dynamics Meeting Abstracts 59, p. FG-006, pdf

Christopher Y. Go, Imke De Pater, Michael H. Wong, S Lockwood, Philip S. Marcus, Xylar S. Asay-Davis, Sushil Shetty (2006) Evolution of the Oval BA during 2004-2005, AAS/Division for Planetary Sciences Meeting Abstracts 38, p. 2-11

Xylar S. Asay-Davis, Sushil Shetty, Philip S. Marcus, Imke De Pater, S Lockwood, Michael H. Wong, Christopher Y. Go (2006) Extraction of Velocity Fields from HST Image Pairs of Jupiter's Great Red Spot, New Red Oval, and Zonal Jet Streams, AAS/Division for Planetary Sciences Meeting Abstracts 38, p. 4-11, pdf

Philip S. Marcus, Sushil Shetty, Xylar S. Asay-Davis (2006) Velocities and Temperatures of Jupiter's Great Red Spot and the New Red Oval and Implications for Global Climate Change, APS Division of Fluid Dynamics Meeting Abstracts 59, p. FG-005, pdf

S. C. Martin, Imke De Pater, S. G. Gibbard, Philip S. Marcus, H. G. Roe, B. A. Macintosh, C. E. Max (2004) Adaptive optics imaging of small cloud features on Neptune: Zonal wind variability and detections of oscillations in longitude, AAS/Division for Planetary Sciences Meeting Abstracts 36, p. 5

Sushil Shetty, Xylar S. Asay-Davis, Philip S. Marcus (2002) Preventing Jupiter's Great Red Spot from Turning Itself Inside-Out, APS Division of Fluid Dynamics Meeting Abstracts 55, p. DJ-012, url

Tonushree Kundu, Philip S. Marcus (1998) Creation of Jovian Zonal Winds, APS Division of Fluid Dynamics Meeting Abstracts, p. FC-06, url

Philip S. Marcus, Changhoon Lee (1996) Creation of Jovian Zonal Winds by Forcing and Dissipation, APS Division of Fluid Dynamics Meeting Abstracts, p. IA-03, url

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Published Papers and Abstracts
2015
“High S/N Keck and Gemini AO imaging of Uranus during 2012–2014: New cloud patterns, increasing activity, and improved wind measurements”, LA Sromovsky, I de Pater, PM Fry, HB Hammel, P Marcus, June 2015, Icarus, vol. 258 pp. 192–223, doi:10.1016/j.icarus.2015.05.029. — <a href=”http://ac.els-cdn.com/S0019103515002390/1-s2.0-S0019103515002390-main.pdf?_tid=0670d310-3b2e-11e5-9fb7-00000aab0f26&acdnat=1438750636_a6f2d0edd430ae3f634f5c4b8dd2d289″>PDF</a>
“Dramatic Change in Jupiter’s Great Red Spot”, AA Simon, MH Wong, JH Rogers, GS Orton, I de Pater, X Asay-Davis, RW Carlson, PS Marcus, March 2015, Lunar and Planetary Science Conference, vol. 46 pp. 1010. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2015/07/Dramatic-Change-in-Jupiter%E2%80%99s-Great-Red-Spot.pdf”>PDF</a>
2014
“Dramatic Change In Jupiter’s Great Red Spot From Spacecraft Observations”, Amy A Simon, Michael H Wong, John H Rogers, Glenn S Orton, Imke De Pater, Xylar Asay-Davis, Robert W Carlson, Philip S Marcus, Decemeber 2014, The Astrophysical Journal Letters, 797:L31, doi:10.1088/2041-8205/797/2/L31. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2015/07/DRAMATIC-CHANGE-IN-JUPITER%E2%80%99S-GREAT-RED-SPOT-FROM-SPACECRAFT-OBSERVATIONS.pdf”>PDF</a>
“Applying Advection-Corrected Correlation Image Velocimetry techniques to Saturn’s winds” Aaron White, JA Barranco, P Marcus, O Solari, KM Sayanagi, January 2014, American Astronomical Society Meeting, vol. 223.
“On the Surprising Longevity of Jupiter’s Centuries-Old Great Red Spot”, Philip Marcus, Pedram Hassanzadeh,  APS Division of Fluid Dynamics Meeting Abstracts, November 2014. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2015/07/On-the-Surprising-Longevity-of-Jupiter%E2%80%99s-Centuries-Old-Great-Red-Spot.pdf”>PDF</a>
“The Fluid Dynamics of Saturn’s “String of Pearls”, Christopher Gebhart, Philip Marcus, APS Division of Fluid Dynamics Meeting Abstracts, November 2014. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2015/07/The-Fluid-Dynamics-of-Saturn%E2%80%99s-String-of-Pearls.pdf”>PDF</a>
2013
“Jupiter’s Red Oval BA: Dynamics, Color, and Relationship to Jovian Climate Change”, Philip S. Marcus, Xylar Asay-Davis, Michael H. Wong, Imke de Pater, Journal of Heat Transfer, volume 135, pages 1-9, January 2013, doi: 10.1115/1.4007666. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2013/06/Jupiter%E2%80%99s-Red-Oval-BA-Dynamics-Color-and-Relationship-to-Jovian-Climate-Change.pdf”>PDF</a>
“On the Unexpected Longevity of the Great Red Spot, Oceanic Eddies, and other Baroclinic Vortices”, Pedram Hassanzadeh, Philip Marcus, APS Division of Fluid Dynamics Meeting Abstracts, November 2013. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2015/07/On-the-Unexpected-Longevity-of-the-Great-Red-Spot-Oceanic-Eddies-and-other-Baroclinic-Vortices.pdf”>PDF</a>
“Jupiter’s Red Oval BA: Dynamics, Color, and Relationship to Jovian Climate Change”, Philip S. Marcus, Xylar Asay-Davis, Michael H. Wong, Imke de Pater, Journal of Heat Transfer, volume 135, pages 1-9, January 2013, doi: 10.1115/1.4007666. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2013/06/Jupiter%E2%80%99s-Red-Oval-BA-Dynamics-Color-and-Relationship-to-Jovian-Climate-Change.pdf”>PDF</a>
2012
“Neptune’s zonal winds from near-IR Keck adaptive optics imaging in August 2001”, Shuleen Chau Martin, Imke de Pater, Philip Marcus, Astrophysics and Space Science, vol. 337, pp 65-78, January 2012, doi: 10.1007/s1059-011-0847-y. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2012/05/Neptune%E2%80%99s-zonal-winds-from-near-IR-Keck-adaptive-optics-imaging-in-August-2001.pdf”>PDF</a>
2011
“Oval BA (and the Great Red Spot) extend down to a supersolar water cloud layer in Jupiter’s atmosphere”, Michael H Wong, Philip S. Marcus, Xyler Asay-Davis, Imke de Pater, Christopher Y Go, Sushil Shetty, EPSC-DPS Joint Meeting 2011, pp. 186, October 2011. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2012/05/Oval-BA-and-the-Great-Red-Spot-extend-down-to-a-supersolar-water-cloud-layer-in-Jupiter%E2%80%99s-atmosphere.pdf”>PDF</a>
“Vertical structure of Jupiter’s Oval BA before and after it reddened: What changed?”, Michael H. Wong, Imke de Pater, Xylar Asay-Davis, Philip S. Marcus, Christopher Y. Go, Icarus, June 2011, doi:10.1016/j.icarus.2011.06.032. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/08/wong-publlished-1.pdf”>PDF</a>
“Jupiter’s zonal winds: are they bands of homogenized potential vorticity organized as a monotonic staircase?”, Philip S. Marcus, Sushil Shetty, Philosophical Transactions of the Royal Society, vol. 369, issue 1937, pp. 771-795, February 2011, doi: 10.1098/rsta.2010.0299. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/08/Jupiters-zonal-winds-are-they-bands-of-homogenized-potential-vorticity-organized-as-a-monotonic-staircase-final.pdf”>PDF</a>
2010
“Changes in Jupiter’s zonal velocity between 1979 and 2008”, Xylar S. Asay-Davis, Philip S. Marcus, Michael H. Wong, Imke de Pater, Icarus, vol. 2, issue 2, pp. 1215-1232, November 2010, doi: 10.1016/j.icarus.2010.11.018. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/08/Changes-in-Jupiter%E2%80%99s-zonal-velocity-between-1979-and-2008-final.pdf”>PDF</a>
“Erratum to ‘Changes in Jupiter’s Great Red Spot (1979–2006) and Oval BA (2000–2006)’ ”, Sushil Shetty, Philip S Marcus, Icarus, vol. 217, pp. 432-432, January 2012, doi: 10.1016/j.icarus.2011.10.017. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/08/Erratum-to-%E2%80%9CChanges-in-Jupiter%E2%80%99s-Great-Red-Spot-1979%E2%80%932006-and-Oval-BA-2000%E2%80%932006.pdf”>PDF</a>
“Jupiter’s Zonal Winds: Are They Bands of Homogenized Potential Vorticity and Do They Form a Monotonic Staircase?”, Philip Marcus, Sushil Shetty, APS Division of Fluid Dynamics Meeting Abstracts, vol. 55, November 2010. —  <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/08/Jupiters-Zonal-Winds-Are-They-Bands-of-Homogenized-Abstract.pdf”>PDF</a>
“Jupiter 2010: A Busy Year”, Christopher Y. Go, A. Wesley, M. Wong, I. de Pater, A. Sanchez-Lavega, P. Marcus, R. Huesco, J. Rogers, A. Simon-Miller, G.S. Orton, P. Yanamandra-Fisher, L. Fletcher, European Planetary Science Congress Abstracts, vol. 1, pp. 955, September 2010. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/08/Jupiter-2010-A-busy-year.pdf”>PDF</a>
“Changes in Jupiter’s Great Red Spot (1979–2006) and Oval BA (2000–2006)”, Sushil Shetty, Philip S. Marcus, Icarus, vol. 210, pp. 182-201, July 2010, doi: 10.1016/j.icarus.2010.06.026. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/07/Changes-in-Jupiter%E2%80%99s-Great-Red-Spot-1979%E2%80%932006-and-Oval-BA-2000%E2%80%932006.pdf”>PDF</a>
“Persistent Rings in and around Jupiter’s Anticyclones – Observations and Theory”, Imke de Pater, Michael H. Wong, Philip Marcus, Statia Luszc-Cook, Maté Adamkovics, Al Conrad, Xylar Asay-Davis, Christopher C. Go, Icarus, vol. 210, pp. 742-762, August 2010, doi:10.1016/j.icarus.2010.07.027. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/07/Persistent-Rings-in-and-around-Jupiters-Anticyclones-Observations-and-Theory.pdf”>PDF</a>
2009
“HST and Keck AO Images of Vortices on Jupiter”, I de Pater, M Wong, S Luszcz-Cook, M Adamkovics, P Marcus, X Asay-Davis, A Conrad, C Go, AAS Division for Planetary Sciences Meeting, vol. 41, September 2009.
“Jupiter’s Shrinking Great Red Spot and Steady Oval BA: Velocity Measurements with the Advected Corrected Correlation Image Velocimetry Automated Cloud Tracking Method”, Xyler S. Asay-Davis, Philip S. Marcus, Mike H. Wong, Imke de Pater, Icarus, vol. 203, pp. 164-188, published May 2009, doi: 10.1016/j.icarus.2009.05.001. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/07/Jupiters-Shrinking-Great-Red-Spot-and-Steady-Oval-BA-Velocity-Measurements-with-the-Advected-Corrected-Correlation-Image-Velocimetry-Automated-Cloud-Tracking-Method.pdf”>PDF</a>
2008
“Dynamics and Interactions of Jovian Vortices During the Last Year”, Philip Marcus, Xylar Asay-Davis, Sushil Shetty, APS Division of Fluid Dynamics Meeting Abstracts, vol. 53, November 2008. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/08/Dynamics-and-Interactions-of-Jovian-Vortices-During-the-Last-Year.pdf”>PDF</a>
“Jupiter’s South Equatorial Belt Outbreak Spots and the SEB Fade and Revival Cycle”, Christopher Y. Go, I. de Pater, A. Sanchez-Lavega, P. Marcus, J. Rogers, A. Simon-Miller, G. S. Orton, M. H. Wong, K. H. Baines, H-J. Mettig, X. Asay-Davis, P. Yanamandra-Fisher, L. Fletcher, Bulletin of the American Astronomical Society, vol. 40, pp. 475, September 2008. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/08/Jupiters-South-Equatorial-Belt-Outbreak-Spots-and-the-SEB-Fade-and-Revival-Cycle.pdf”>PDF</a>
“New Observations and Simulations of Jupiter’s Great, Little and Oval Red Spots and Stagnation Points and Their Interactions”, Philip Marcus, X Asay-Davis, MH Wong, I de Pater, C Go, September 2008, Bulletin of the American Astronomical Society, vol. 40, pp. 494.
“Depth of a Strong Jovian Jet from a Planetary-Scale Disturbance Driven by Storms”, A. Sánchez-Lavega, G. S. Orton, R. Hueso, E. García-Melendo, S. Pérez-Hoyos, A. Simon-Miller, J. F. Rojas., J. M. Gómez, P. Yanamandra-Fisher, L. Fletcher, J. Joels, J. Kemerer, J. Hora, E. Karkoschka, I. de Pater, M. H. Wong, P. S. Marcus, N. Pinilla-Alonso, F. Carvalho, C. Go, D. Parker, M. Salway, M. Valimberti, A. Wesley & Z. Pujic, Nature, vol. 451, pp. 437-440, January 2008, doi: 10.1038/nature06533. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/07/Depth-of-a-Strong-Jovian-Jet-from-a-Planetary-Scale-Disturbance-Driven-by-Storms.pdf”>PDF</a>
2007
“On the Interaction of Jupiter’s Great Red Spot and Zonal Jet Streams”, Sushil Shetty, Xylar S. Asay-Davis, Philip S. Marcus, December 2007, The Journal of the Atmospheric Sciences, vol. 64, pp. 4432-4444, published December 2007, doi: 10.1175/2007JAS2097.1. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/07/On-the-Interaction-of-Jupiters-Great-Red-Spot-and-Zonal-Jet-Streams.pdf”>PDF</a>
“Jupiter’s New Red Spot-An Indication of Climate Change?”, Philip Marcus, Chung-Hsiang Jiang, Xylar Asay-Davis, APS Division of Fluid Dynamics Meeting Abstracts, vol. 52, November 2007. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/08/Jupiters-New-Red-Spot-An-Indication-of-Climate-Change.pdf”>PDF</a>
“The 2007 Jupiter’s North Temperate Belt Disturbance: I. Overview and jet stream changes”, Agustin Sanchez-Lavega, G. S. Orton, R. Hueso, E. Garcia-Melendo, S. Perez-Hoyos, A. Simon-Miller, J. F. Rojas, J. M. Gomez, P. A. Yanamandra-Fisher, L. Fletcher, J. Joels, J. Kemerer, J. Hora, E. Karkoschka, I. de Pater, M. H. Wong, P. S. Marcus, N. Pinilla, Bulletin of the American Astronomical Society, vol. 38, pp. 407, October 2007.
“The Global Upheaval of Jupiter”, Christopher Y. Go, I. de Pater, J. Rogers, G. Orton, P. Marcus, M. H. Wong, P. A. Yanamandra-Fischer, J. Joels, Bulletin of the American Astronomical Society, vol. 38, pp. 445, October 2007. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/08/The-Global-Upheaval-of-Jupiter.pdf”>PDF</a>
“Jupiter’s New Red Oval – Its Relation to Global Changes”, Philip Marcus, X. Asay-Davis, M. H. Wong, C. Go, I. de Pater, Bulletin of the American Astronomical Society, vol. 38, pp. 408, October 2007.
“Jupiter’s Red Oval: a Sign of Global Climate Change?”, Imke de Pater, P. Marcus, X. Asay-Davis, M. Wong, C. Go, European Planetary Science Congress 2007, vol. 1, pp. 667, August 2007. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/Jupiter’s%20Red%20Oval%20-%20A%20sign%20of%20global%20climate%20change.pdf”>PDF</a>
“Vortex Street Dynamics: the Selection Mechanism for the Areas and Locations of Jupiter’s Vortices”, Tom Humphreys, Philip S. Marcus, The Journal of the Atmospheric Sciences, vol. 64, pp. 1318-1333, April 2007, doi: 10.1175/JAS3882.1. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/08/Vortex-Street-Dynamics-the-Selection-Mechanism-for-the-Areas-and-Locations-of-Jupiters-Vortices-just-paper.pdf”>PDF</a>
“Erratum to ‘Vortex Street Dynamics: the Selection Mechanism for the Areas and Locations of Jupiter’s Vortices’ ”, Tom Humphreys, Philip S. Marcus, The Journal of the Atmospheric Sciences, added May 2008, doi: 10.1175/2008JAS2775.1.  — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/08/Erratum-to-%E2%80%9CVortex-Street-Dynamics-the-Selection-Mechanism-for-the-Areas-and-Locations-of-Jupiters-Vortices%E2%80%9D.pdf”>PDF</a>
“Jupiter’s New Red Oval”, Imke de Pater, Philip Marcus, Michael Wong, ed. Robert Brown, Hubble 2006 Science Year in Review, pp. 33-41, published in 2007 by the Space Science Telescope Institute, Baltimore. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/07/Jupiters-New-Red-Oval.pdf”>PDF</a>
2006
“Modeling and Data Assimilation of the Velocity of Jupiter’s Great Red Spot and Red Oval”, Sushil Shetty, Xylar Asay-Davis, Philip S Marcus, APS Division of Fluid Dynamics Meeting Abstracts, vol. 51, November 2006. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/08/Modeling-and-Data-Assimilation-of-the-Velocity-of-Jupiters-Great-Red-Spot-and-Red-Oval.pdf”>PDF</a>
“Velocities and Temperatures of Jupiter’s Great Red Spot and the New Red Oval and Implications for Global Climate Change”, Philip Marcus, Sushil Shetty, Xylar Asay-Davis, APS Division of Fluid Dynamics Meeting Abstracts, vol. 51, November 2006. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/08/Velocities-and-Temperatures-of-Jupiters-Great-Red-Spot-and-the-New-Red-Oval-and-Implications-for-Global-Climate-Change.pdf”>PDF</a>
“Modeling and Data Assimilation of the Velocity Fields of Jupiter’s Great Red Spot, New Red Oval, and Zonal Jet Streams”, S Shetty, Philip S Marcus, X Asay-Davis, I de Pater, M Wong, S Lockwood, C Go, September 2006, Bulletin of the American Astronomical Society, vol. 38, pp. 495.
“Evolution Of The Oval BA During 2004-2005”, Christopher Y Go, I de Pater, M Wong, S Lockwood, P Marcus, X Asay-Davis, S Shetty, September 2006, Bulletin of the American Astronomical Society, vol 38, pp. 495.
2004
“Multiple Instrument Distributed Aperture Sensor (MIDAS) For Planetary Remote Sensing”, Joe Pitman, Alan Duncan, David Stubbs, Robert Sigler, Rick Kendrick, Eric Smith, James Mason, Gregory Delory, Jere H. Lipps, Michael Manga, James Graham, Imke de Pater, Sarah Reiboldt, Philip Marcus, Edward Bierhaus, James B. Dalton, James Fienup, Jeffrey Yu, Instruments, Science, and Methods for Geospace and Planetary Remote Sensing, vol. 5660, pp.168-180, December 2004, doi: 10.1117/12.578430. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/07/Multiple-Instrument-Distributed-Aperture-Sensor-MIDAS-For-Planetary-Remote-Sensing.pdf”>PDF</a>
“Turbulent Mixing of Tracers in Nearly 2D Flows with Strong Potential Vorticity Gradients”, Xylar Asay-Davis, Philip Marcus, APS Division of Fluid Dynamics Meeting Abstracts, November 2004. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2Four/Turbulent%20Mixing%20of%20Tracers%20in%20Nearly%202D%20Flows%20with%20Strong%20Potential%20Vorticity%20Gradient.gif”>Image</a>
“Prediction of a global climate change on Jupiter”, Philip S. Marcus, Nature, vol. 428, pp. 828-831, published April 2004, doi: 10.1038/nature02470. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/07/Prediction-of-a-Global-Climate-Change-on-Jupiter.pdf”>PDF</a>
“Three-Dimensional Vortices in Strongly Stratified Planetary Atmospheres”, Sushil Shetty, Philip Marcus, APS Division of Fluid Dynamics Meeting Abstracts, November 2004. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2Four/Three-Dimensional%20Vortices%20in%20Strongly%20Stratified%20Planetary%20Atmospheres.gif”>Image</a>
2003
“Predictions of a Global Climate Change and Cycle on Jupiter”, Philip S Marcus, AGU Fall Meeting Abstracts, vol. 1, pp. 0462, December 2003. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2Three/Predictions%20of%20a%20Global%20Climate%20Change%20and%20Cycle%20on%20Jupiter.pdf”>PDF</a>
“The dynamics of jovian white 0vals from formation to merger”, Ashraf Youssef, Philip S. Marcus, Icarus, vol. 162, pp. 74-93, March 2003, doi: 10.1016/S0019-1035(02)00060-X. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/07/The-Dynamics-of-Jovian-White-Ovals-From-Formation-to-Merger.pdf”>PDF</a>
2002
“Preventing Jupiter’s Great Red Spot from Turning Itself Inside-Out”, Sushil Shetty, Xylar Asay-Davis, Philip Marcus, APS Division of Fluid Dynamics Meeting Abstracts, November 2002. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2Two/Preventing%20Jupiter’s%20Great%20Red%20Spot%20from%20Turning%20Itself%20Inside-Out.gif”>Image</a>
“Using Vortex Dynamics to Predict an Impending Global Climate Change for Jupiter”, Philip Marcus, APS Division of Fluid Dynamics Meeting Abstracts, November 2002. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2Two/Using%20Vortex%20Dynamics%20to%20Predict%20an%20Impending%20Global%20Climate%20Change%20for%20Jupiter.gif”>Image</a>
“Vortex Avalanches”, Xylar Asay-Davis, Sushil Shetty, Philip Marcus, APS Division of Fluid Dynamics Meeting Abstracts, November 2002. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2Two/Vortex%20Avalanches.gif”>Image</a>
2000
“Energy Spectra in Turbulent Geophysical Flows”, Tonushree Kundu, Philip Marcus, APS Division of Fluid Dynamics Meeting Abstracts, November 2000. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2Zero/Energy%20Spectra%20in%20Turbulent%20Geophysical%20Flows.gif”>Image</a>
“Attractors of Kármán Vortex Streets”, T. D. Humphreys, P. S. Marcus, APS Division of Fluid Dynamics Meeting Abstracts, November 2000. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2Zero/Attractors%20of%20Karman%20Vortex%20Streets.gif”>Image</a>
“Vortex dynamics and zonal flows”, P. S. Marcus, T. Kundu, C. Lee, The Physics of Plasmas, vol. 7, pp. 1630-1640, published May 2000, doi: 10.1063/1.874045. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/07/Vortex-Dynamics-and-Zonal-Flows.pdf”>PDF</a>
1999
“How the Inverse Turbulent Cascade and Vortex Dynamics Create Planetary Zonal Flows”, Philip S Marcus, APS Division of Plasma Physics Meeting Abstracts, November 1999. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/9Nine/How%20the%20Inverse%20Turbulent%20Cascade%20and%20Vortex%20Dynamics%20Create%20Planetary%20Zonal%20Flows.pdf”>PDF</a>
“Jovian Vortex Streets as Attractors of a Nearly-Hamiltonian PDE”, Tom D. Humphreys, Philip S. Marcus, APS Division of Fluid Dynamics Meeting Abstracts, November 1999. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/9Nine/Jovian%20Vortex%20Streets%20as%20Attractors%20of%20a%20Nearly-Hamiltonian%20PDE.gif”>Image</a>
“Jupiter’s Zonal Flows: The Effect of Differential Rotation on a Forced and Dissipated Three-Dimensional System”, Tonushree Kundu, Philip S Marcus, APS Division of Fluid Dynamics Meeting Abstracts, November 1999. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/9Nine/Jupiter’s%20Zonal%20Flows%20The%20Effect%20of%20Differential%20Rotation%20on%20a%20Forced%20and%20Dissipated%20Three-Dimensional%20System.gif”>Image</a>
“Asymmetries in Eastward and Westward Jets in a Model Planetary Atmosphere”, Marcus, Philip, Lee, C., ed. Coughlin, Katie, 1999, Centre de Recherches Mathematiques – Proceedings & Lecture Notes, vol. 20, pp. 85-100, pub. American Math Society.
1998
“Creation of Jovian Zonal Winds”, Tonushree Kundu, Philip S Marcus, APS Division of Fluid Dynamics Meeting Abstracts, November 1998. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/9Eight/Creation%20of%20Jovian%20Zonal%20Winds.gif”>Image</a>
“The Distribution of Potential Vorticity in Planetary Vortices”, Ashraf Youssef, Philip S Marcus, APS Division of Fluid Dynamics Meeting Abstracts, November 1998. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/9Eight/The%20Distribution%20of%20Potential%20Vorticity%20in%20Planetary%20Vortices.gif”>Image</a>
“The Formation and Maintenance of the Zonal Winds of Jupiter and Saturn”, Philip S Marcus, January 1998, NASA STI/Recon Technical Report N, pp. 45688.
“A model for eastward and westward jets in laboratory experiments and planetary atmospheres”, P. S. Marcus, C. Lee, Physics of Fluids, vol. 10, no. 6, pp. 1474-1489, June 1998, doi: 10.1063/1.869668. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/07/A-Model-for-Eastward-and-Westward-Jets-in-Laboratory-Experiments-and-Planetary-Atmospheres.pdf”>PDF</a>
1997
“The Breakdown of Cyclone/Anticyclone Degeneracy in Jupiter’s Atmosphere: Modeling of Cloud Morphologies by Lagrangian Passive Tracers”, T. Kundu, P. S. Marcus, APS Division of Fluid Dynamics Meeting Abstracts, November 1997. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/9Seven/The%20Breakdown%20of%20CycloneAnticyclone%20Degeneracy%20in%20Jupiter’s%20Atmosphere%20Modeling%20of%20Cloud%20Morphologies%20by%20Lagrangian%20Passive%20Tracers.gif”>Image</a>
“Kármán Vortex Streets As Stable Attractors of Forced-Dissipated Flows”, T. D. Humphreys, P. S. Marcus, APS Division of Fluid Dynamics Meeting Abstracts, November 1997. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/9Seven/Karman%20Vortex%20Streets%20As%20Stable%20Attractors%20of%20Forced-Dissipated%20Flows.gif”>Image</a>
1996
“Turbulent Bursts in Couette-Taylor Flow”, K. Coughlin, P. S. Marcus, Physical Review Letters, vol. 77, pp. 2214-2217, September 1996, doi: 10.1103/PhysRevLett.77.2214. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/07/Turbulent-Bursts-in-Couette%E2%80%93Taylor-Flow-1996.pdf”>PDF</a>
1994
“Infrared Observations of the Comet SL9/Jupiter Impacts at Keck”, Imke de Pater, J. R. Graham, G. Jernigan, M. Brown, M. Liu, P. Marcus, M. Fomenkova, A. Ingersoll, G. Orton, Bulletin of the American Astronomical Society, vol. 26, pp. 1566, June 1994.
“Jupiter’s Great Red Spot and zonal winds as a self‐consistent, one‐layer, quasi-geostrophic flow”, Philip S. Marcus, Changhoon Lee, Chaos, vol. 4, pp. 269-286, April 1994, doi: 10.1063/1.166007. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/07/Jupiters-Great-Red-Spot-and-Zonal-Winds-as-a-Self-Consistent-One-Layer-Quasi-Geostrophic-Flow.pdf”>PDF</a>
1993
“Jupiter’s Great Red Spot and Other Vortices”, Philip S. Marcus, The Annual Review of Astronomy and Astrophysics, vol. 31, pp. 523-573, September 1993, doi: 10.1146/annurev.aa.31.090193.002515. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/07/Jupiters-Great-Red-Spot-and-Other-Vortices.pdf”>PDF</a>
1992
“Vortex Dynamics in Zone-Belt Flows”, P. Marcus, R. Van Buskirk, Summer Study Program in Geophysical Fluid Dynamics, pub. Woods Hole Oceanographic Institution, 1992.
1990
“Vortex dynamics in a shearing zonal flow”, Philip S. Marcus, The Journal of Fluid Mechanics, vol. 215, pp. 393-430, 1990, doi: 10.1017/S0022112090002695. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/07/Vortex-Dynamics-in-a-Shearing-Zonal-Flow.pdf”>PDF</a>
“The Red Spot of Jupiter”, Philip S. Marcus, The Impact of Mathematics: Nonlinear Mathematics, Chaos, and Fractals in Science, proceedings of a symposium sponsored by the National Research Council, National Academy Press, 1990, pp. 47–51.
“Models of the Great Red Spot”, Philip S. Marcus, Joel Sommeria, Meyers, Steven D. Meyers, Harry L. Swinney, Nature, vol. 343, pp. 517-518, February 1990, doi: 10.1038/343517b0. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/07/Models-of-the-Great-Red-Spot.pdf”>PDF</a>
1989
“Nonlinear hydrodynamical instabilities, transitions, and coherent features: Final report”, P. S. Marcus, Lawrence Livermore National Lab, issue UCRL-21155, June 1989.
“Vortex Dynamics”, Philip S. Marcus, Physics Today, pp. S40-S-41, 1989.
1988
“Numerical Simulation of Jupiter’s Great Red Spot”, Philip S. Marcus, Nature, vol. 331, pp. 693-696, February 1988, doi: 10.1038/331693a0. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/07/Numerical-Simulation-of-Jupiters-Great-Red-Spot.pdf”>PDF</a>
1987
“Spatial Self-Organization of Vortices in Chaotic Shearing Flows”, Philip Marcus, Nuclear Physics B – Proceedings Supplements, vol. 2, pp. 127-138, November 1987, doi: 10.1016/0920-5632(87)90013-2. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/2011/07/Spatial-Self-Organization-of-Vortices-in-Chaotic-Shearing-Flows.pdf”>PDF</a>
1985
“Coherent vortical features in a turbulent two‐dimensional flow and the Great Red Spot of Jupiter”, Philip S. Marcus, Journal of the Acoustical Society of America, vol. 78, pp. S11, November 1985, doi: 10.1121/1.2022646. — <a href=”http://cfd.me.berkeley.edu/wp-content/uploads/8Five/Coherent%20vortical%20features%20in%20a%20turbulent%20twodimensional%20flow%20and%20the%20Great%20Red%20Spot%20of%20Jupiter.pdf”>PDF</a>
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Relevant Research
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