A coupled modeling approach to understand ocean coupling and energetics of tropical cyclones in the Bay of Bengal basin
Introduction
Sea surface temperature (SST) and its relative importance in tropical cyclone maintenance, and intensification is a well-established fact (Emanuel, 1999, Emanuel, 1987; Gray, 1998; Miller, 1958). SST plays a crucial role in the heat flux exchange with the atmosphere, vertical mixing, and upwelling by Ekman pumping (Yablonsky and Ginis, 2009). Miller (1958) found the maximum attainable intensity of a tropical cyclone to be a function of SST. Numerical experiments have also shown the intensity of tropical cyclones to be sensitive towards SST (Emanuel, 1987; Lavender et al., 2018; Warner et al., 2010). The heat fluxes from the ocean that drive tropical cyclones are enhanced by turbulence due to strong winds and increased saturation mixing ratio due to a pressure drop at the surface (Schade, 2000). Since tropical cyclones interact with the upper ocean and not just the surface, SST can sometimes be misleading as it does not represent the actual energy available for cyclone intensification (Ali et al., 2013). Mogensen et al. (2017) conducted numerical experiments with a coupled model and concluded that the upper ocean stratification plays a crucial role in determining the coupled feedbacks and the evolution of tropical cyclones. They further stated that a strong atmosphere-ocean coupled response is observed whenever a shallow warm ocean layer is present, and a weak response is observed in the presence of a thick warm layer.
Even though considerable progress has been made in forecasting the tropical cyclone track, intensity forecasting, and factors governing it still remains a challenge (Emanuel and Zhang, 2016). The effect of environmental flow (vertical wind shear) on tropical cyclone intensity is far more complicated than previously thought (Zhu et al., 2004). A common explanation for the effect of VWS on tropical cyclone intensity is “ventilation” of the hurricane warm core. Simpson and Riehl (1958) first hypothesised that under sheared conditions, lateral advection of environmental air cools the core, and thus the temperature is lower than the value of a parcel's moist adiabatic ascent from the surface. Multiple studies have also shown the negative impact of VWS on tropical cyclone intensity (Gray, 1968; Zeng et al., 2008, Zeng et al., 2007). Various alternative mechanisms have been proposed in the recent past based on equivalent potential temperature (θe) and potential vorticity (PV). Downdrafts outside the eyewall cause drying of the boundary layer underneath (low θe), and injection of this low θe air from the storm's inflow layer into the eyewall reduces the thermodynamic efficiency as the eyewall becomes less buoyant with respect to the environment (Riemer et al., 2010; Tang and Emanuel, 2010). DeMaria (1996) showed that in the presence of VWS, the PV of the vortex circulation gets tilted in the vertical. As a conservative quantity, this PV tilting requires an increase in the mid-level temperature perturbation near the vortex which inhibits convection and storm development. Thus, rather than ventilation, this effect of VWS on tropical cyclones can also be viewed as an act of “tilting and stabilisation”.
In spite of the negative impact of VWS on tropical cyclone intensity, an analysis of 139 storms over the Atlantic basin confirmed the fact that developing cyclones exhibit VWS (900–200 hPa) of the order of 10 ms−1 (Bracken and Bosart, 2000). Hurricane Jimena (1991) achieved category 4 intensity in 13–20 ms−1 vertical shear, Hurricane Olivia (1994) intensified under 8 ms−1 vertical shear, Hurricane Bonnie's (1998) maintenance phase encountered shear exceeding 15 ms−1, and tropical cyclones Omar (1992) and Steve (1993) could intensify in a sheared environment in excess of 12.5 ms−1 (Black et al., 2002; Elsberry and Jeffries, 1996; Zhu et al., 2004). The complex interplay between downshear convection, downshear vorticity, and interaction of the storm vortex with a new downshear vortex in tropical storm Gabrielle (2001) led to its intensification in the presence of substantial VWS by a process known as downshear reformation (Molinari et al., 2006). Hurricane Bonnie (1998) was documented as having successive episodic convection on the downshear side of the vortex which moved cyclonically around the downshear left of the storm, and a warm-core due to episodic convective cells, along with a balance of VWS and instability helped in the development of supercells which lasts longer than convective cells (Heymsfield et al., 2001; Molinari and Vollaro, 2008). A maximum in downshear updrafts was described in terms of vorticity conservation by Willoughby Jr. and Feinberg (1984). Assuming the vortex to be embedded in the steering flow, they argued that vorticity advection due to the relative motion of the vortex with respect to the steering flow must be balanced by stretching (compression) of vorticity associated with convergence (divergence). Evans et al. (2010) highlighted that in an environment of low inertial stability, the asymmetric flow could favour intensification through the divergent branch of secondary circulation as it faces less resistance to outflow, thus favouring strong updrafts through mass continuity.
As tropical cyclones draw most of their energy from the warm oceans, a series of energy conversions take place to sustain its vigour. The moist air from the planetary boundary layer (PBL) rises and condenses, releasing latent heat in the process. This latent energy (LE) release is stored as an intermediary phase, known as total potential energy (TPE), and the warming thus caused creates a pressure drop below. In an attempt to balance the pressure gradient force, kinetic energy (KE) must increase at the expense of TPE, and it does so via adiabatic cross-isobaric flow (Hogsett and Zhang, 2009; hereafter HZ09). Thus to understand the effect of VWS on storm energetics, two cyclones are studied in the Bay of Bengal (BoB) basin: (1) Phailin (2013), which did not encounter significant shear during its intensification phase, and (2) Hudhud (2014), in which the influence of VWS was prominent. Another objective of this study is to understand the conditions under which it becomes crucial to implement an interactive atmosphere-ocean-wave coupled model rather than its standalone counterpart.
The next section describes the model and the experiments conducted, followed by validation of the simulations with observations. The differences in ocean coupling between the experiments are presented in the atmosphere-ocean coupling segment. Quadrant-wise analysis of the storms and storm energetics in a quasi-Lagrangian framework are discussed in sections 5 and 6, respectively. The final section summarises and highlights the findings.
Section snippets
Model
The Coupled Ocean Atmosphere Wave Sediment Transport (COAWST) Modeling System is implemented in this study (Warner et al., 2010). The coupled framework consists of the Advanced Research Weather Research and Forecasting (WRF-ARW; Skamarock et al., 2008) model as the atmospheric component, the Regional Ocean Modeling System (ROMS; Shchepetkin and McWilliams, 2005; Haidvogel et al., 2008) as the ocean component, Simulating Waves Nearshore (SWAN; Booij et al., 1999) as the ocean wave component,
Model validation
The model simulations are validated against the India Meteorological Department's (IMDs) best track data along with five moored buoys from the OMNI network, and TRMM 3B42 precipitation dataset (Huffman et al., 2007). The mean track error for the simulation period is lower for both CPL_Phailin and CPL_Hudhud (44.36 and 119.83 km) as opposed to their atmospheric counterparts (50.05 and 131.21 km; Fig. 1, Fig. 2c). Fig. 2a and b show the maximum sustained wind speed and minimum sea-level pressure
Atmosphere-ocean coupling
In order to determine the feedbacks in an interactive coupled model, a control volume of 3° radius is used to track the storm and calculate the domain averaged latent heating (kJ/kg) and ocean subsurface temperature (°C). Fig. 4a and b show the domain averaged latent heating difference between the CPL and the CTL experiments along with subsurface temperature and mixed layer depth from the CPL experiments. As both cyclones moved northwestward towards the coast, a gradual decrease in the mixed
Effect of shear
Among the two cyclones, Hudhud experienced VWS due to its interaction with a southward propagating westerly trough. On 11 Oct 2014, which corresponds to the second day of the simulation, the westerly trough moved further south and reached central India. As the cyclone interacted with the trough on 11 Oct 2014, VWS in the 850–200 hPa layer increased in all the quadrants with maximum values reaching 17.25 ms−1, 29.77 ms−1, 32 ms−1, and 29.77 ms−1 for CTL_Hudhud in the northwest (NW), southwest
Storm energetics
For studying storm energetics, the model simulations are stored at 15 mins interval, and the budget equations for LE, TPE and KE are calculated using a quasi-Lagrangian framework. As defined in HZ09, LE, TPE and KE are expressed as:
TPE = ρ(cvT + gz)= Internal Energy + Potential Energy, andwhere ρ is density (kg m−3), Lv is the latent heat of vaporisation (J kg−1), qv is water vapour mixing ratio (kg kg−1), cv is the specific heat at constant volume (J K−1 kg−1), T is the
Summary and conclusions
In this study, the fully coupled COAWST modeling framework is implemented in the BoB basin to understand atmosphere-ocean coupling and investigate the effects of shear on coupling and energetics. Two cyclones are chosen: Phailin (2013), and Hudhud (2014), with the latter experiencing strong VWS. In order to assess the impact of the coupled model, two sets of experiments are carried out: one with the standalone atmospheric component (CTL) of the coupled model, and another one in the fully
Author statement
Conceptualization, Methodology:
Dr. Sandeep Pattnaik and Dr. Himadri Baisya.
Model simulation and Visualization:
Dr. Himadri Baisya and Mr Tapajyoti Chakraborty.
Results discussion and Analysis:
Dr. Himadri Baisya, Dr. Sandeep Pattnaik and Tapajyoti Chakraborty.
Writing-Reviewing-Editing:
Dr. Himadri Baisya and Dr. Sandeep Pattnaik
Declaration of Competing Interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Acknowledgements
The authors would like to thank the Indian Institute of Technology Bhubaneswar for providing necessary support for this work. Further, authors wish to acknowledge the, Scientific and Engineering Research Board (SERB) and University Grant Commission for their support in carrying out this work. We are grateful to the Indian National Center for Ocean Information Services (INCOIS) for providing the moored buoy data. We are thankful to the United States Geological Survey (USGS) and the National
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