Reports Area T

Atmospheric gravity waves from LIDAR observations

My mission is to develop data analysis from our observations and apply it to the output from the Kühlungsborn Mechanistic Circulation Model (KMCM).

Marwa Almowafy, PhD T1

My name is Marwa Almowafy, I am a PhD student in the subproject “T1: Mesoscale energy cascades in the lower and middle atmosphere”.

I am working on temperature perturbations in the upper stratosphere and mesosphere, between 30 and 80 km, caused by atmospheric gravity waves. These waves are mainly generated in the troposphere due to several processes, for example convection and flow of air over mountains. The waves are propagating upward carrying momentum and energy. Eventually this momentum and energy is deposited at higher altitudes. With the help of observations, we address the cycle of gravity propagation and dissipation which is important for understanding their role of modifying the background atmosphere.

At the Leibniz Institute for atmospheric Physics (IAP) we have a variety of observation techniques and facilities such as balloons, sounding rockets, radars and Lidars. In the frame work of my PhD, I am focusing on data from Lidar observations. Our Rayleigh/Mie/Raman (RMR) Lidar is used to study temperatures and winds in the middle atmosphere. This Lidar has the unique capability to operate even under full daylight. IAP is operating several Lidars, one of them being located in Kühlungsborn, Germany, and another one in Andenes, Northern Norway. This allows for studying the impact of latitudinal difference and upper atmospheric dynamics regarding gravity waves. We are comparing the seasonal variability of temperature fluctuations from both locations to available reanalysis and satellite retrievals. A step further will be to approve the results with our highly resolving models at IAP.

My mission as a part of TRR181 is to develop data analysis from our observations and also apply it to the output from the Kühlungsborn Mechanistic Circulation Model (KMCM).  Furthermore, I plan to construct time series of gravity wave spectra from temperature and wind data to study the behavior of power spectral indices and compare them to expectations from theory.

Decoding the Energy Spectrum Using ICON-IAP

It is unrealistic to expect the numerical models to exactly simulate the real atmosphere for all observed penomena since the atmospheric flows are turbulent in nature.

Kesava Ramachandran, PhD T1

Hi, my name is Kesava Ramachandran from subproject T1. My work deals with the implementation of Dynamical Smagorinsky Model (DSM) to understand the effects of stratified turbulence due to gravity-wave breaking in the MLT region using high-resolution non-hydrostatic ICON-IAP model. In this context, the investigation of energy cycle by analyzing the spectral budgets of kinetic energy and potential energy will be carried out.

Numerical models are widely used for investigations of atmospheric conditions and behaviour. It is unrealistic to expect the numerical models to exactly simulate the real atmosphere for all observed phenomena since the atmospheric flows are turbulent in nature. The set of mathematical equations that describe such flows are nonlinear and it is impossible to solve them exactly. At least till now, no one has solved the complete set of equations. This leads to use of different modelling techniques where we resolve the wide range of time and length scales. Such atmospheric models normally consist of a dynamical core and physical parametrization.

ICON-IAP is one such atmospheric model with a novel discretization for strict representation of the conservation laws by the dynamical core. An issue not normally considered in the circulation models is the inherent diffusion due to the numerical formulation of the dynamical core. This inherent diffusion cannot be interpreted as physical dissipation. ICON-IAP discretizes the Poisson-brackets of the Hamiltonian system and guarantees consistent reversible energy pathways. As a reference for comparing, we have the observation data from Nastrom & Gage, where a -3 slope in the synoptic scale and -5/3 slope in mesoscale scale is noted for horizontal wind and temperature.

It is important to have an elaborate understanding of the different processes that contribute to the energy cycle and the interaction between different dynamical regimes since it will give us an idea on the scales at which the transport occurs. With respect to this, the governing equations are transformed so that the processes that do not contribute are made invisible. Using the transformed equation we can disentangle the contribution of the horizontal and vertical flux terms. We can also compare the spectral budgets of kinetic and a v a i l a b l e p o t e n t i a l energy and the individual fluxes between the transformed and the untransformed equation.

Analysing the kinetic and available potential energy spectrum will result in understanding the scales of the primary gravity waves transport of momentum from lower to middle atmosphere and a reasoning as to whether the concept of Stratified Macroturbulence applies when averaging about individual wave packet and to the energy cascade induced by the gravity wave breakdown in the mesosphere.

Meso-scale energy cascades in the lower and middle atmosphere

My task is to extend the recently developed parameterization for friction/diffusion for atmospheric flows to the middle atmosphere.

Serhat Can, PhD in T1

Hi, I am Serhat from subproject T1. As a PhD candidate, my task is to extend the recently developed parameterization for friction/diffusion for atmospheric flows to the middle atmosphere, including full accounting of the spectral budget for kinetic and available potential energy. Complex flows cover a wide range of spatial and temporal scales and it becomes practically illogical to expect existing computational technology to simulate a realistic atmosphere for all observed phenomena. Thus, the emergence of accounting for the effects of unresolved scales is inevitable, resulting in what is known as the turbulence closure problem.

Closure is handled via the so-called Dynamic Smagorinsky Model (DSM), in the Kühlungsborn Mechanistic general Circulation Model (KMCM). This scheme eliminates ad hoc tuning for the parameterization and allows a space-time dependent mixing length, fully determined by the resolved flow.

Observational data from Nastrom & Gage point to transition from synoptic -3 slope to -5/3 in mesoscales for horizontal motion and temperature, providing a solid reference information for comparison. Atmosphere being strongly effected by gravity, anisotropic formulation is needed for DSM and the arguments of Stratified Macro Turbulence (SMT) comes into play for the aid, yielding an additional constraint on the dependence of vertical form of DSM on its horizontal part.

On top of all these intertwined descriptions of turbulence, scale invariance sets the tone and dictates equations to keep their forms unchanged for inertial regimes, including parameterizations. A dynamically determined mixing length complies with this requirement and definition of parameterization is completed. It should be emphasized that sub-grid scale motion is considered as a modelling of friction from a thermodynamic point of view. In this manner, only forward energy cascade with no backscatter must result on average from the spectral analyses of the circulation model.

Reasoning for a unidirectional energy cascade stems from the Lorenz Energy Cycle, where the conversions between kinetic, available and unavailable potential energy drives the climate. To appropriately represent this cycle detailed description of entropy production, i.e. friction due to motion is crucial. DSM appears as a comprehensive method to address above-mentioned demands in general circulation modelling. As a result, friction/diffusion in atmosphere represented in the framework of turbulence modelling creates an exciting meeting of seemingly distant fields.

Report - Participation in the Trimester "Mathematical Developments in Geophysical Fluid Dynamics" in Paris by Philomène Dufour (July 26)

I am a PhD student at the University of Hamburg and a member of the Collaborative Research Centre TRR 181 Energy Transfers in Atmosphere and Ocean (sub-project T2: Ocean Surface Layer Energetics). From the 29.06.2026 to the 03.07.2026, I participated in the third workshop of the trimester programme Mathematical Developments in Geophysical Fluid Dynamics, entitled Idealised Mathematical Models for Geophysical Flows, held at the Institut Henri Poincaré in Paris.

After attending the introductory school at the CIRM in Marseille in April, near the beautiful site of the Calanques, I went to Paris to participate in the third workshop of this programme.

I was particularly pleased that this workshop was held in Paris, as it was an opportunity to see some of my old friends from the Master's programme at Sorbonne University and to come back to this city to which I am particularly attached.

The third workshop lasted one week and took place at the Institut Henri Poincaré, in the Latin Quarter of Paris, which is well known for its intellectual and student atmosphere. We were sitting in the Charles Hermite amphitheatre, one of the oldest lecture halls of the institute, which has hosted many renowned mathematicians and physicists.

During this workshop, I attended many talks and presented my poster on an attempt at deriving the $\alpha$-modified Craik–Leibovich equations using geometric generalised Lagrangian mean theory. This work aims to develop a mathematical model describing wave–mean current interactions while accounting for the effects of turbulence through an $\alpha$-regularisation. Because the poster combines ideas from Craik–Leibovich theory, $\alpha$-models of turbulence and geometric GLM, it attracted researchers with rather different backgrounds, including oceanographers, applied mathematicians and specialists in mechanics. These discussions helped me to better identify which aspects of the work are the most accessible to different audiences and which questions naturally arise from each community.

I was very happy to see that this subject raised the interest of many people; it encouraged me a lot to continue. As the poster was displayed throughout the whole week, it also enabled me to continue discussions with people afterwards. This experience also highlighted the importance of poster sessions for presenting ongoing work, receiving feedback and establishing new scientific contacts.

Although the event in Paris was completely free of charge, lunches were organised directly next to the amphitheatre, which greatly facilitated discussions and informal interactions. One of the highlights of the week was undoubtedly the cocktail on the rooftop of the Maison Poincaré, where discussions continued in a relaxed atmosphere. Participants were also offered free admission to the Maison Poincaré's mathematics museum. I visited it with a few other participants and enjoyed discovering its interactive exhibitions.

The scientific programme covered a broad range of themes. The talks ranged from reduced models for strongly stratified turbulence, derived using asymptotic analysis, to the treatment of boundary conditions in wave–structure interactions. They showcased a variety of mathematical tools, including turbulence modelling, asymptotic methods, geometric mechanics, and numerical simulations. Although the topics were diverse, they all shared the common objective of improving our understanding of the fundamental mechanisms governing geophysical flows. At this stage of my PhD, this workshop helped me better understand how my research fits within the broader field of geophysical fluid dynamics.

In the following week, there will be a satellite conference, *Perspectives and Challenges in Geophysical Fluid Dynamics*, at the École normale supérieure. I am looking forward to meeting other members of the TRR and many other researchers there.

The workshop also gave me the opportunity to learn about future events of the community. Several participants recommended the Advanced Summer School on Mathematical Fluid Dynamics in Cargèse next year, which I hope to attend.

Report - Liège Colloquium on Submesoscale Processes in the Ocean by Jabeen Safeer (May 26)

Jabeen Safeer, a PhD student at the University of Hamburg, attended the 57th International Liège Colloquium on Ocean Dynamics at the University of Liège in Belgium at the end of May. Here she shares her experiences.

The Liège Collocuium on Ocean Dynamics is one of the longest-running series in physical oceanography, bringing together leading researchers from across the globe to advance the understanding of ocean dynamics. This year’s colloquium revisited submesoscale dynamics of the ocean - a decade on from the 48th Colloquium in 2016 - taking stock of new developments across a range of oceanographic disciplines, including observational, modelling, and theoretical approaches. I was accompanied by Evridiki Chrysagi - my supervisor and also a TRR 181 member - and Arooba Nawaz, a master’s student at the Universität Hamburg.

We reached the city on the afternoon of May 24th and were greeted by the sight of the transparent, monumental vault of the Gare de Liege-Guillemins, built entirely out of glass and steel. The conference venue was the University of Liège's lecture hall, with neoclassical walls inscribed with the exceptional heritage of Wallonia, the French-speaking region of Belgium. The conference started with a session on remote sensing of submesoscale dynamics, which shed light on ongoing efforts to utilise high-resolution SWOT satellite data to reconstruct various ocean variables. Following the scientific sessions, we participated in a hands-on training session hosted by EUMETSAT (European Organisation for the Exploitation of Meteorological Satellites), focused on monitoring submesoscale ocean processes using Earth observation data. It provided us with new information and tools to work directly with freely available satellite-derived ocean data from the Copernicus Marine Service. The poster presentations were scheduled for the second day, along with an icebreaker event. Besides, the posters were on display all week, which provided me with a very relaxed environment to talk about my poster and discuss my work with several people. The remaining days featured keynote talks on frontal instabilities, wave-front/eddy interactions, multiscale processes, submesoscale dynamics at the boundaries and physical-biological interactions. I found it fascinating to learn that polar oceanographers use seal-borne CTD sensors to study Southern Ocean dynamics. This was just one example that highlighted for me how essential creativity is in conducting meaningful scientific research, as I discovered many throughout the colloquium.  Although the five days were packed with talks and activities, I found each talk to be very informative and gained several insights relevant to my own research. Outside of the scientific sessions, we spent our evenings walking through the beautiful streets of Liège and sampling a variety of local restaurants. The most delicious culinary experience we had was in an Afghan restaurant. The renowned Liège waffles also warrant a special mention. I am grateful to TRR 181 for supporting this trip, and to Evridiki and Arooba for the company, both in the lecture hall and our evening explorations of Liege.

Energy fluxes at the air-sea interface using high-resolution CFD simulations

Our goal is to resolve the small-scale processes that dominate the energy exchange as well as to identify the individual mechanisms as a function of the wind wave conditions.

Malte Loft, PhD T4

Hello everyone, my name is Malte Loft and I work on the ”T4 Surface Wave-Driven Energy Fluxes at the Air-Sea Interface” subproject as a PhD student at the Hamburg University of Technology (TUHH).

I studied dual mechanical engineering at the Hamburg University of Applied Sciences and specialised in fluid mechanics at the University of Rostock as part of a Master’s degree. In September 2021, I started my PhD to investigate the energy fluxes at the air-sea interface using high-resolution CFD simulations (WP2).

Our goal is to resolve the small-scale processes that dominate the energy exchange as well as to identify the individual mechanisms as a function of the wind wave conditions, e.g. the wave age or wave slope of the current sea state. Due to mostly very high Reynolds numbers, it is hardly possible to perform Direct Numerical Simulations (DNS). Therefore, a hybrid turbulence model (Detatched Eddy Simulation, DES) is used for our simulations. First, a numerical wind-wave tank is developed to reproduce relatively simple laboratory conditions and to validate the numerical model with experimental results (WP1). In the animation shown, a non-linear surface wave can be seen propagating from left to right, involving strong wind forcing. Air separation events and highly turbulent structures are clearly visible. Due to our fully coupled model, we are able to extract the pressure fields and surface stresses at any point in space and can also include the influence of surface tension effects in our investigations. Furthermore, we produce large amounts of data during our simulations in order to determine phase-averaged quantities using triple decomposition. In other words, fields of pressure or velocity that correlate with the respective sea state, detached from turbulent fluctuations. With all this data, we hope to gain deep insights into the physical processes that determine the mechanical energy flow at the air-sea interface.

In the future, we will extend the application of our model to more complex scenarios, e.g. to highly non-linear sea states of the Baltic Sea, including further phenomena such as wave breaking. Another goal is to formulate the findings into improved parameterisations, in particular to improve the boundary conditions of current ocean models (WP3).

Here you can see a short video.

Research Stay in Miami by Janina Tenhaus (Aug 22)

Last year I was asked if I would like to participate in a wind-wave project at the Alfred C. Glassell, Jr. SUSTAIN Laboratory in Miami, USA, for three weeks. After listening to the song "Miami" by Will Smith several times, I felt well prepared and started organizing the trip, especially the funding by the TRR. The wind-wave tank is top-notch, and I was very excited when everything was approved. After my arrival, I met the scientists from Columbia University, U.S. Naval Research Laboratory, University of New Hampshire, and of course University of Miami. From now on, we spent almost every day in the dark lab with no daylight – thanks to the Particle Image Velocimetry measurements. Outside it was summer and mosquito season, so we did not complain much. We survived working on weekends with strong Cuban coffee (do you really want the real one and no sleep for a week?). But the experimental work did not only take place in the lab; discovering the great dive sites of Miami was also part of my tight schedule. Shortly before my return flight, we cooled the tank, whereupon it began to leak as all the silicone seals contracted. This reminded me of the rainy weather in Hamburg, and I knew it was time to come home. I am very grateful for this experience and would recommend everyone not miss the opportunity to do a research stay.