1. Introduction
The Madden–Julian oscillation (MJO; Madden and Julian 1971, 1972), is a large-scale phenomenon (with a zonal extent of ~12 000–20 000 km) and the dominant component of the intraseasonal variability in the tropical atmosphere. It is represented by coupled patterns in atmospheric circulation and convection and is accompanied by a distinct signal in many other variables (Zhang 2005). The MJO consists of a zone of widespread, deep convection and enhanced precipitation totals, surrounded on the east and west by zones of relatively weak convection and less precipitation. The MJO propagates eastward around the globe with an intraseasonal period of approximately 30–90 days. Inside the MJO envelope, small-scale convective systems interact with mesoscale convective systems (MCSs) and superclusters, giving the convection a multiscale structure (Nakazawa 1988; Moncrieff et al. 2012). The convective signals of the MJO are generally most visible over the Indian and western Pacific Oceans (Zhang 2005), where the MJO propagates with an average speed of 5 m s−1.
An extensive observational field campaign, the Cooperative Indian Ocean Experiment on Intraseasonal Variability (CINDY)/Dynamics of the Madden–Julian Oscillation (DYNAMO) (Yoneyama et al. 2013; Zhang et al. 2013; Zhang and Yoneyama 2017), was conducted during the period of 2011–12. This campaign allowed the different processes that contribute to the evolution of the MJO to be observed. Kerns and Chen (2014) and Chen et al. (2016) noted that, during the episode of November 2011 (MJO-II), several large-scale dry air intrusions from the subtropics into the tropical Indian Ocean were observed. They proposed that these dry air intrusions contributed to the eastward propagation of the active MJO phase and the development of the suppressed phase in the following way. The convection located in the intertropical convergence zone (ITCZ) was forced toward the equator by a dry air intrusion, creating favorable conditions for the initiation of the MJO. The following dry air intrusions participated in the suppression of the convection to the west of the active MJO phase. These dry air intrusions are likely to be advected by Rossby wave gyres and are thus consistent with the response to equatorial heating as in Gill (1980).
This paper further describes the convective evolution of the atmosphere during the passage of the MJO and the development of the suppressed MJO phase. To have a multiscale description of convection, we performed a convection-permitting simulation over a vast domain consisting of the Indian Ocean and the Maritime Continent. A specific question addressed here is whether the dry intrusions have an imprint on the atmosphere overturning. Thus, the same period of 23–30 November 2011 of Chen et al. (2016) was chosen to analyze the transition from the active phase to the suppressed phase over the Indian Ocean and the arrival of the active phase over the Maritime Continent.
To study the large-scale atmospheric circulations, an isentropic analysis is applied. This method was first described by Pauluis and Mrowiec (2013) and allows cold, dry sinking air masses to be separated from warm, moist rising air masses by grouping air particles with similar thermodynamic properties. In addition, reversible motions are excluded via time averaging. This method has been successfully applied in a number of numerical studies, such as analyses of a very deep convective system that hydrates the stratosphere (Dauhut et al. 2017) and the October 2011 MJO event observed during the CINDY/DYNAMO campaign (Chen et al. 2018). In the latter study, the tropospheric overturning up to 16-km height was investigated by decomposition into multiple scales. It was found to be largest at the convective scale (less than 450 km) and to be increasing with the active phase of the MJO. In our paper, an isentropic analysis is applied to the November 2011 MJO event characterized by dry intrusions and using a convection-permitting simulation performed at higher resolution. This allows us to investigate the atmospheric overturning up to 18-km height with additional features. It is shown to consist of three components, or circulations in an isentropic diagram: a tropospheric circulation similar to the one found by Chen et al. (2018), a smaller circulation corresponding to dry air intrusions, and an overshoot circulation similar to the one obtained in the study of Dauhut et al. (2017). These circulations together with the diabatic tendencies and the entrainment rates are contrasted between the active and suppressed phases of the MJO, as well as between the Indian Ocean and the Maritime Continent.
Section 2 describes the model and the methodology. Section 3 analyzes the differences in the convective activity with the passage of the MJO. Section 4 discusses the signature of dry air intrusions during the MJO propagation as seen in the isentropic diagrams. Section 5 presents the conclusions.
2. Data and methods
a. Meso-NH high-resolution simulation
The simulation is run using the atmospheric nonhydrostatic regional model Meso-NH (Lafore et al. 1998; Lac et al. 2018), version 5-1-3, over the region of 26.7°S–26.7°N, 44.6°–155.4°E to include the Indian Ocean and the Maritime Continent (Fig. 1). This large domain is chosen in order to describe the large-scale variability induced by the passage of the MJO. For the analysis applied here, two subdomains are considered focusing on the Indian Ocean (7.5°S–7.5°N, 60°–80°E) and the Maritime Continent (7.5°S–7.5°N, 100°–120°E). The 8-day period of 23–30 November 2011 is simulated. The simulation is performed with a horizontal grid spacing of 4 km. A total of 72 vertical levels are used following the surface elevation with a grid spacing of 60 m near the surface and 600 m at the top of the model. The top of the model is set to 30 km with the upper 3 km being a sponge layer to damp any gravity waves generated by convection. Therefore, a domain of 1538 × 3074 × 72 (~340 million) grid points is considered. It was possible to run this high-resolution simulation on a very large domain because of the parallel computing capability of the Meso-NH model (Pantillon et al. 2011).

Domain of simulation (Indian Ocean and Maritime Continent), with elevation (m) shaded.
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1

Domain of simulation (Indian Ocean and Maritime Continent), with elevation (m) shaded.
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1
Domain of simulation (Indian Ocean and Maritime Continent), with elevation (m) shaded.
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1
The following parameterizations employed in the model: the Surface Externalisée (SURFEX) scheme for the surface fluxes (Masson et al. 2013), the microphysical scheme ICE3 (Pinty and Jabouille 1998) for the mixed-phase clouds containing five hydrometeor types (cloud water, rain, snow, graupel, and ice), a subgrid statistical cloud scheme (Chaboureau and Bechtold 2005), and a subgrid shallow convection parameterization (Pergaud et al. 2009). The radiative schemes used were the Rapid Radiative Transfer Model (Mlawer et al. 1997) for longwave radiation and the two-stream formulation (Fouquart and Bonnel 1986) for shortwave radiation. The turbulence is described using the 1.5-order closure scheme of Cuxart et al. (2000). This scheme was set in our simulation in 3D mode with the mixing length of Deardorff (1980) to obtain a better representation of the cloud organization and their lifetime duration, as shown in Machado and Chaboureau (2015).
The model is initialized at 0000 UTC 23 November 2011. The initial and boundary conditions are provided by the 6-hourly operational analyses of the European Centre for Medium-Range Weather Forecasts (ECMWF). No large-scale forcing is applied. The sea surface temperature was set using the values provided by the ECMWF analyses at the initial time. To assess the simulated rain, the TRMM 3B42 precipitation product (Huffman et al. 2007) with 3-h temporal resolution and a spatial resolution of 0.25° × 0.25° is used.
b. Isentropic analysis


























3. Evolution of the convective activity during the passage of the MJO
a. MJO signal in the precipitation and an assessment of the model
To assess the quality of the simulation, a Hovmöller diagram for the precipitation averaged in the equatorial band of 7.5°S–7.5°N is shown (Fig. 2). The longitude range corresponds to the entire simulation domain. In TRMM, the MJO signal showing the eastward propagation of the active phase over the Indian Ocean and the Maritime Continent is clearly visible (Fig. 2a). It consists of two large-scale eastward-propagating features separated by a break of 1–2 days. As noted by Kerns and Chen (2014), the dry air intrusions contribute to this break in the precipitation during the active MJO phase. The two east-propagating features look like the Kelvin waves (KWs) identified by DePasquale et al. (2014). However, their velocity, which is about 8.5 m s−1, and is thus smaller than the typical values for KWs, does not allow to identify them as KWs unambiguously.

Hovmöller diagram of the precipitation averaged over the region of 7.5°S–7.5°N for (a) TRMM and (b) the simulation. The vertical lines show the studied longitudinal domains: the Indian Ocean, 60°–80°E, and the Maritime Continent, 100°–120°E. The horizontal lines show the time periods chosen for the analyses of the different MJO phases.
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1

Hovmöller diagram of the precipitation averaged over the region of 7.5°S–7.5°N for (a) TRMM and (b) the simulation. The vertical lines show the studied longitudinal domains: the Indian Ocean, 60°–80°E, and the Maritime Continent, 100°–120°E. The horizontal lines show the time periods chosen for the analyses of the different MJO phases.
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1
Hovmöller diagram of the precipitation averaged over the region of 7.5°S–7.5°N for (a) TRMM and (b) the simulation. The vertical lines show the studied longitudinal domains: the Indian Ocean, 60°–80°E, and the Maritime Continent, 100°–120°E. The horizontal lines show the time periods chosen for the analyses of the different MJO phases.
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1
At 0000 UTC 23 November 2011, the first large-scale eastward-propagating feature characterizing the active MJO phase was located over the Indian Ocean and it arrives over the Maritime Continent around 2100 UTC 27 November 2011. The second large-scale eastward-propagating feature appears over the Indian Ocean around 1200 UTC 25 November 2011, and reaches the Maritime Continent around 1500 UTC 30 November 2011. The MJO signal is well reproduced by the simulation (Fig. 2b). The first large-scale eastward-propagating feature appears over the Indian Ocean at the same time as in TRMM and arrives over the Maritime Continent around 0000 UTC 28 November 2011. The second large-scale eastward-propagating feature appears over the Indian Ocean at the same time as in TRMM and arrives over the Maritime Continent at the end of the simulation. This feature is weaker than the first one, as well as the corresponding feature in TRMM, but is still visible. The maximum rainfall in both TRMM and the simulation exceeds 2 mm h−1. Nevertheless, the simulation gives an excess of weak precipitation, including during time periods when TRMM does not show any precipitation. This might be due to systematic errors in simulating very low rates of precipitation or because the TRMM product is not sensitive to weak precipitation.
In the following, three different periods during the MJO propagation are compared: period 1, covering 1800 UTC 23 November–0000 UTC 24 November; period 2, covering 1800 UTC 27 November–0000 UTC 28 November; and period 3, covering 1800 UTC 30 November–0000 UTC 1 December. These periods are indicated in Fig. 2 by dashed horizontal lines, while the dashed vertical lines show the longitudinal limits for the subdomains chosen for the analyses. For the Indian Ocean, period 1 corresponds to the passage of the active phase, period 2 corresponds to the transition between the active phase and the suppressed phase (hereafter the “intermediate phase”), and period 3 corresponds to the suppressed phase. For the Maritime Continent, period 1 occurs during the suppressed period between the October and November MJO events, period 2 is just before the active phase, although convection is still suppressed, and period 3 is after the beginning of the active phase.
b. MJO propagation over the Indian Ocean and the Maritime Continent
The probability distribution function (PDF), the isentropic vertical mass flux, and the isentropic streamfunction for the Indian Ocean (Fig. 3) and for the Maritime Continent (Fig. 4) are shown for periods 1–3. The thick black lines in the figures correspond to the average

Isentropic diagrams for the Indian Ocean: (a)–(c) PDF, (d)–(f) vertical mass flux, and (g)–(i) streamfunction. Columns represent (left) period 1 (the passage of the active phase), (center) period 2 (the intermediate phase between the active and the suppressed ones), and (right) period 3 (the suppressed phase). The thick black line in each panel corresponds to the
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1

Isentropic diagrams for the Indian Ocean: (a)–(c) PDF, (d)–(f) vertical mass flux, and (g)–(i) streamfunction. Columns represent (left) period 1 (the passage of the active phase), (center) period 2 (the intermediate phase between the active and the suppressed ones), and (right) period 3 (the suppressed phase). The thick black line in each panel corresponds to the
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1
Isentropic diagrams for the Indian Ocean: (a)–(c) PDF, (d)–(f) vertical mass flux, and (g)–(i) streamfunction. Columns represent (left) period 1 (the passage of the active phase), (center) period 2 (the intermediate phase between the active and the suppressed ones), and (right) period 3 (the suppressed phase). The thick black line in each panel corresponds to the
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1
The PDF corresponds to the frequency of each
The vertical mass flux consists of two main parts in the troposphere (Figs. 3d–f). The first part corresponds to upward motions with
The streamfunction consists of three key circulations (Figs. 3g–i). One circulation is a large-scale tropospheric circulation spanning from the surface to an altitude of 14–15 km (negative
For the Maritime Continent, the PDF points are concentrated along the average profile (Figs. 4a–c), as in the case of the Indian Ocean. Below a height of 9 km, most of the air parcels (with a probability of more than 5%) have

As in Fig. 3, but for the Maritime Continent. (left) Period 1 occurs during the suppressed MJO phase, (center) period 2 is just before the active phase, although convection is still suppressed, and (right) period 3 is after the beginning of the active phase.
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1

As in Fig. 3, but for the Maritime Continent. (left) Period 1 occurs during the suppressed MJO phase, (center) period 2 is just before the active phase, although convection is still suppressed, and (right) period 3 is after the beginning of the active phase.
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1
As in Fig. 3, but for the Maritime Continent. (left) Period 1 occurs during the suppressed MJO phase, (center) period 2 is just before the active phase, although convection is still suppressed, and (right) period 3 is after the beginning of the active phase.
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1
The vertical mass flux (Figs. 4d–f) for z < 13–14 km consists of a zone with higher
In all the phases, the streamfunction (Figs. 4g–i) consists of a large-scale tropospheric circulation and an overshoot circulation. The third circulation, similar to that identified over the Indian Ocean, appears prior to the passage of the suppressed phase of the MJO and remains during the suppressed phase but with much weaker intensity. Unlike the streamfunction for the Indian Ocean (Figs. 3g–i), the intensities of the large-scale circulation and the overshoot circulation do not change significantly over the Maritime Continent during the passage of the MJO.
c. Diabatic tendencies and entrainment
To further continue this analysis and to better understand the large-scale thermodynamical properties of the system, the diabatic tendency is calculated. The mass-weighted diabatic tendency
For the Indian Ocean, the diabatic tendencies for the three phases are shown in Figs. 5a–c, respectively. Below a height of 3 km, the diabatic tendencies have a dipole structure for all three phases. The most significant diabatic process leading to the changes in

Isentropic diagrams for the Indian Ocean: (a)–(c) diabatic tendency and (d)–(f) entrainment rate. Columns represent (left) period 1, (center) period 2, and (right) period 3. The black line near z = 5 km corresponds to the average freezing level. The gray contour shows the isentropic envelope. The average
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1

Isentropic diagrams for the Indian Ocean: (a)–(c) diabatic tendency and (d)–(f) entrainment rate. Columns represent (left) period 1, (center) period 2, and (right) period 3. The black line near z = 5 km corresponds to the average freezing level. The gray contour shows the isentropic envelope. The average
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1
Isentropic diagrams for the Indian Ocean: (a)–(c) diabatic tendency and (d)–(f) entrainment rate. Columns represent (left) period 1, (center) period 2, and (right) period 3. The black line near z = 5 km corresponds to the average freezing level. The gray contour shows the isentropic envelope. The average
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1
For the Maritime Continent (Figs. 6a–c), the diabatic tendencies have a similar structure to those for the Indian Ocean (Figs. 5a–c). Nevertheless, the diabatic tendencies in the overshoot circulation have smaller values. Another difference is the absence of low-

As in Fig. 5, but for the Maritime Continent.
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1

As in Fig. 5, but for the Maritime Continent.
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1
As in Fig. 5, but for the Maritime Continent.
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1






The entrainment rate for the Indian Ocean is shown in Figs. 5d–f. The air masses with
d. Changes in the intensity of the overturning circulations
To better understand the evolution of the large-scale circulations, it is also possible to consider the evolution of a streamfunction calculated in the same way as the isentropic streamfunction in Eq. (3) but without time averaging the vertical mass flux. Using this method, a streamfunction at every output time is obtained.
For the Indian Ocean, the time evolutions of the maximum and minimum of this streamfunction, together with the time evolution of the average relative humidity, are shown in Figs. 7a and 7b. The overshoot circulation is visible with the highest values of the maximum of the streamfunction located at z between 14 and 17 km. The intensity of the overshoot is highest at the beginning of the simulation and gradually decreases with time. The low-

Evolution of (a) the isentropic streamfunction maximum and (b) the relative humidity for the Indian Ocean. The black contours in (a) correspond to the evolution of isentropic streamfunction minimum. The vertical lines show the time periods (periods 1–3) chosen for the analyses of the different MJO phases.
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1

Evolution of (a) the isentropic streamfunction maximum and (b) the relative humidity for the Indian Ocean. The black contours in (a) correspond to the evolution of isentropic streamfunction minimum. The vertical lines show the time periods (periods 1–3) chosen for the analyses of the different MJO phases.
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1
Evolution of (a) the isentropic streamfunction maximum and (b) the relative humidity for the Indian Ocean. The black contours in (a) correspond to the evolution of isentropic streamfunction minimum. The vertical lines show the time periods (periods 1–3) chosen for the analyses of the different MJO phases.
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1
For the Maritime Continent, the overshoot circulation has its largest intensity at the beginning and end of the simulation (Fig. 8a). The low-

As in Fig. 7, but for the Maritime Continent.
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1

As in Fig. 7, but for the Maritime Continent.
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1
As in Fig. 7, but for the Maritime Continent.
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1
4. Signature of dry air intrusions in the propagation of the MJO
As discussed in section 3b, a low-
The horizontal cross sections at an altitude near 5 km (Fig. 9) allow for a better understanding of the presence of the low-

(a) Spatial distribution of
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1

(a) Spatial distribution of
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1
(a) Spatial distribution of
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1
The vertical section from an altitude of 0 to 7 km, corresponding to the thick black line in the horizontal cross sections (Figs. 9b,c), is shown in Fig. 10. The low-

Vertical section of (a)
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1

Vertical section of (a)
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1
Vertical section of (a)
Citation: Journal of the Atmospheric Sciences 76, 2; 10.1175/JAS-D-18-0188.1
5. Conclusions
A convection-permitting simulation of an MJO episode on 23–30 November 2011 was run to describe the evolution of the atmosphere during the passage of the MJO over the Indian Ocean and the Maritime Continent. An isentropic analysis was performed for two subdomains focusing on the central Indian Ocean and the western part of the Maritime Continent.
The isentropic analysis showed the existence of three large-scale convective circulations. The first one is a tropospheric circulation extending from the surface up to 14 km above the ground level. Its intensity increases during the active phase of the MJO and decreases during the suppressed phase, a feature also found for the October 2011 event by Chen et al. (2018).
The second circulation is an overshoot within the tropical tropopause layer, which is a new aspect in this study. Such circulation has been found for a tropical multicellular storm, but during its very deep convection phase only (Dauhut et al. 2017), and was not obtained by Chen et al. (2018). In this work, the overshoot circulation exists all along the convection-permitting simulation, over both the Indian Ocean and the Maritime Continent. Its intensity is higher during the active phase of the MJO, similar to the evolution of the tropospheric circulation. This suggests that the convective activity can impact the composition of the tropical tropopause layer significantly. Entrainment rates with values as low as 0.05 km−1 are seen for the air masses with the largest
The third circulation is characterized by low
The diabatic tendencies do not show any significant changes in structure during the passage of the MJO. Their amplitudes, however, change with the convective activity, with increases in the amplitudes occurring during the active phase. Such increases are more pronounced over the Indian Ocean than over the Maritime Continent. The entrainment rates increase during the suppressed phase of the MJO over the Indian Ocean, and in a lesser extent over the Maritime Continent. These variations are attributed to the dry air intrusions that lead the mixing between the rising motions and their environment to have a stronger inhibiting impact on convection. Further research on dry air intrusions may help in understanding their role in inhibiting convection and drying the lower troposphere and whether this gradual drying is due to gravity wave breaking. Finally, the findings here are based on a simulation that mimics well the passage of the MJO over the Indian Ocean, but that prevents precipitation from crossing the Maritime Continent. As a result, changes of smallest amplitude in different characteristics of the atmospheric overturning over the Maritime Continent should be taken with caution.
Acknowledgments
Computer resources were allocated by GENCI through Project 90569. Thibaut Dauhut is supported by the IDEX TEASAO project. We thank the anonymous reviewers for their comments, which helped to improve the overall quality of the paper.
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