Atmospheric Dynamics Modeling Group
Atmospheric Dynamics Modeling Group / Projects
The research projects in our group are focused on the overarching themes of atmospheric modeling and dynamics. Our group is highly interdisciplinary with diverse interests in atmospheric science, applied mathematics and computational science / scientific computing.
In particular, we develop new numerical methods (like Adaptive Mesh Refinement (AMR) techniques) and variable-resolution computational grids for the dynamical cores of atmospheric General Circulation Models (GCMs), analyze and compare existing dynamical cores (especially their behavior at the subgrid-scale), develop test cases for dynamical cores that get utilized in community-wide model intercomparison projects, analyze and improve the respresentation of tropical cyclones in global climate models, investigate stratospheric dynamics with a focus on the Quasi-Biennial Osciillation (QBO) and Sudden Stratospheric Warmings (SSWs), and design cyber-infrastructure tools for the climate sciences. All of our research projects utilize parallel and high-performance computing architectures.
Boulder, CO, June, 6 - June, 17 2016
Organized by Paul Ullrich (University of California, Davis), Christiane Jablonowski (University of Michigan), Kevin Reed (Stony Brook University), Colin Zarzycki (NCAR), James Kent (University of South Wales, U.K.), Peter H. Lauritzen (NCAR) and Ramachandran D. Nair (NCAR)
We have organized a summer school and model intercomparison workshop with special focus on the newest non-hydrostatic global models. We invited students, postdocs and the international dynamical core modeling community to join us at the National Center for Atmospheric Research (NCAR, Boulder, CO) for 2 weeks from June/6-17/2016 for an exciting student-focused and research-driven event that has led to an unprecedented dynamical core intercomparison project. The new aspects were that DCMIP-2016 focused very strongly on idealized dynamical core test cases with simple moisture feedbacks to assess the physics-dynamics coupling and interactions. As DCMIP-2012, DCMIP-2016 has been endorsed by the WMO Working Group on Numerical Experimentation (WGNE). The summer school and model intercomparison workshop has been supported by cyberinfrastucture tools like shared workspaces via the Earth System CoG
DCMIP-2016 explores new test techniques for non-hydrostatic models that are also applicable at hydrostatic scales. Examples are a new moist baroclinic wave test case without topography (applicable to both shallow-atmosphere and deep-atmosphere dynamical core equation sets) and a tropical cyclone test case of intermediate complexity that not only assesses the dynamical core but also includes a 'simple physics' package with a Kessler-type warm-rain scheme. These test cases let us investigate non-linear interactions and the physics-dynamics coupling. The third test is a supercell system on a reduced-size Earth that gives insight into non-hydrostatic motions at low computational cost.
Figure: Cubed-sphere and hexagonal computational grids on the sphere.
Boulder, CO, July, 30 - August, 10 2012
In the summer of 2012 we (Christiane Jablonowski, Peter Lauritzen, Paul Ullrich, Mark Taylor, Ram Nair) organized a summer school and model intercomparison workshop
with special focus on non-hydrostatic global models which are under development right now. We invited students, postdoctoral researchers and the international dynamical core modeling community to join us at the National Center for Atmospheric Resaearch (NCAR, Boulder, CO) for 2 weeks from July/30-August/10/2012 for an exciting student-focused and research-driven event that will led to an unprecedented dynamical core intercomparison project, even broader in scale than our 2008 workshop. The event was endorsed by the WMO Working Group on Numerical Experimentation (WGNE). The summer school and model intercomparison workshop was also supported by newly developed cyberinfrastucture tools like shared workspaces that we have developed in collaboration with NOAA and NCAR under an NSF grant.
We explored new test techniques for non-hydrostatic models that are also applicable at hydrostatic scales. Examples are our newly developed tropical cyclone test case of intermediate complexity that not only assesses the dynamical core but also includes a 'simple physics' package. This lets us investigate non-linear interactions and the physics-dynamics coupling. Other test cases included 'small Earth' experiments that gave insight into non-hydrostatic motions at low computational cost.
Figure: Simulation of a breaking wave on a cubed-sphere grid.
Boulder, CO, June 1-13, 2008
Organized by Peter H. Lauritzen (NCAR), Christiane Jablonowski (University of Michigan), Mark Taylor (Sandia National Laboratories) and Ramachandran D. Nair (NCAR)
The 2-week summer colloquium titled "Numerical Techniques for Global Atmospheric Models" surveyed the latest developments in numerical methods for the dynamical cores of Atmospheric General Circulation Models. The objectives of the colloquium were (1) to teach a large group of about 40 graduate students in atmospheric science and mathematics how today's and future dynamical cores are or need to be built, (2) to invite over 10 dynamical core modeling groups to NCAR for an unprecedented student-run dynamical core intercomparison project, (3) to establish new dynamical core test cases in the community and (4) to invite keynote speakers to NCAR that give lectures on modern numerical techniques and innovative computational meshes.
We have published a book
that is based on the lectures from the 2008 Summer Colloquium:
Lauritzen, P. H., C. Jablonowski, M. A. Taylor and R. D. Nair (Eds.) (2011), Numerical Techniques for Global Atmospheric Models,
Lecture Notes in Computational Science and Engineering, Springer, Vol. 80, 572 pp.
Figure: Selected results of the dynamical core intercomparison project conducted during the 2008 NCAR ASP summer school.
The figure shows a cross section of an advected slotted ellipse after 12 days that was transported up and down and around the sphere via an analytically prescribed 3D wind field. The initial condition and reference solution can be used to assess the characteristics of the advection schemes in the participating models denoted by the acronyms. The horizontal grid spacings are approximately 110 km with 60 levels in the vertical direction (vertical grid spacing is 250 m).
Adaptive Mesh Refinement (AMR) techniques provide an attractive
framework for atmospheric flows since they allow an improved
resolution in limited regions without requiring a fine grid
resolution throughout the entire model domain. The model regions
at high resolution are kept at a minimum and can be individually
tailored towards the research problem associated with atmospheric
The climate system is characterized by complex nonlinear interactions over a broad range
of temporal and spatial scales. Our research objective is to determine
how these multi-scales interact and how to use enabling computational tools to
mathematically represent scale interactions in climate models. The research
focuses in particular on scale interactions in the so-called dynamical core of Atmospheric
General Circulation Models (GCM). The dynamical core refers to the fluid dynamics
component of a GCM and encompasses the numerical methods used to solve the
equations of motion on the resolved scales. The research explores how Adaptive
Mesh Refinement (AMR) and other variable resolution grid techniques allow high resolution meshes in regions of
interest like the eye of a tropical cyclone or over mountainous terrain. It thereby suggests
pathways how to bridge the scale discrepancies between local, regional and global
phenomena, a key frontier in climate modeling.
The variable-resolution approach is focused on cubed-sphere computational meshes that have the
potential to become a standard in future GCMs. Cubed-sphere grids offer an almost
uniform grid point coverage on the sphere. They deliver high performance and almost
perfect scaling characteristics on massively parallel computer architectures. The grid is
ideally suited for local grid refinements that are based on DoE's AMR software
framework Chombo from the Lawrence Berkeley National Laboratory (LBNL). Chombo
is under development by DoE's Applied Partial Differential Equations Center (APDEC) under the leadership of our collaborator Dr. Phillip Colella.
Both hydrostatic and nonhydrostatic dynamical core designs are developed, implemented and
assessed in our team using high-order conservative and oscillation-free finite-volume numerical schemes. In addition, we
investigate the numerical schemes in a 2d shallow-water framework that serves as an ideal testbed for 3d model developments.
At a later stage our simulations will also involve an in-depth investigation of the validity of physical parameterizations at different
spatial scales. The latter will be done in close collaboration with the National Center for
Atmospheric Research (NCAR).
Figure: Examples of the adaptive mesh refinement and variable-resolution
techniques applied to (left, first) a block-structured Finite-Volume (FV) shallow
water model on a latitude-longitude grid, (middle, second) the block-structured Chombo shallow water model on the cubed-sphere grid, and (right, third) the conformal cubed-sphere grid in NCAR's Spectral Element (SE) model. In the model FV all blocks are self-similar and contain 9x6
additional grid points. The left figure shows how the refined regions
track the relative vorticity fields of a barotropic instability in the model FV (see St-Cyr et al., 2008), the middle figure depicts the vorticity field of two merging vortices after four days with the Chombo model (see Ferguson et al., 2016) and the right (third) figure
illustrates a static (non-moving) variable-resolution mesh in the model CAM-SE (see e.g. Zarzycki and Jablonowski, 2014, 2015).
We develop, implement and test high-order finite-volume methods for the dynamical cores of atmospheric general circulation models. Our computational grid of choice is the cubed-sphere grid that is also depicted above.
This project pays special attention to 3rd-order and 4th-order accurate discretizations that perform well at all spatial scales and all aspect ratios between the horizontal and vertical resolution. The methods are promising candidate for future non-hydrostatic dynamical cores with flexible computational grids. Such grids are for example the block-structured AMR grids that overlay the cubed-sphere geometry. We have developed the non-hydrostatic dynamical core 'MCore' in both a Cartesian channel configuration (Ullrich and Jablonowski, 2012, Mon. Wea. Rev. ) and on a spherical cubed-sphere grid (Ullrich and Jablonowski, 2012, J. Comput. Phys.).
Figure: Example simulations with our high-order finite-volume model in a Cartesian channel configuration.
The figure depicts 2D and 3D idealized test cases that assess the model performance at small scales (2D thermal bubble), meso-scales (2D mountain waves) and large planetary scales (3D breaking baroclinic wave in a channel). The results are presented in the paper Ullrich and Jablonowski (2012) in the journal Monthly Weather Review.
This project investigates and improves the representation of tropical cyclones
in the National Center for Atmospheric Research (NCAR) Community Earth System Model
CESM1. CESM is jointly supported by the Department of Energy (DOE) and the National
Science Foundation and contains the Community Atmosphere Model CAM that offers multiple dynamical cores and physics options.
In particular, CAM version 5 contains the finite-volume (FV) dynamical core, the High-Order Method Modeling Environment (HOMME),
and the spectral transform Eulerian (EUL) and semi-Lagriangian (SLD) dynamical cores.
The objectives of the research are to (1) simulate the evolution of an
idealized, initially weak vortex into a tropical cyclone in an aqua-planet configuration of CAM, (2)
investigate the sensitivity of tropical cyclone development and structure to varying resolutions and
convective parameterizations within CAM, (3) explore the impact of different numerical schemes
on the evolution of tropical cyclones through utilization of numerous dynamical cores available in
CAM, and (4) use the knowledge gained from these simulations to project the possible effects of climate
change on long-term (decadal) tropical cyclone statistics. Such process studies will reveal the impact and relative importance
of the physical parameterizations and numerical schemes on the simulations of tropical cyclones
in CAM, thereby providing an improved scientific basis for the projections of tropical cyclone
activity under changing climate conditions.
We have developed an idealized tropical cyclone test case based on analytic initial conditions
that spins up intense (up to category-5) tropical cyclones over the course of 5-10 simulation days.
We have also developed a simplified physics package called 'simple physics' for aqua-planet studies
that only contains the most basic driving mechanisms for cyclones such as surface fluxes, boundary layer
diffusion and large-scale condendation. This physics package lets us define a test case of intermediate complexity.
Figure: Idealized cyclone simulations with NCAR's CAM 3.1 model in aqua-planet configuration
(using the Finite Volume (FV) dynamical core). The top row displays the magnitude of the
wind near the surface at the resolution 0.25 x 0.25 degrees with an initial maximum wind of 17.8
m/s. The initial radius of maximum wind is 200 km. Results for the initial vortex (day
0), and the vortex after 5 and 10 days are shown. The bottom row displays the wind
magnitude for a vertical cross section through the center latitude of the vortex as a
function of the radius from the center of the vortex [see also Reed and Jablonowski (Mon. Wea. Rev., 2011), Reed and Jablonowski (JAMES 2011), Reed and Jablonowski (Geophys. Lett., 2011) and Reed and Jablonowski (JAMES 2012)].
In this project we assess the characteristics of the QBO and SSWs in
idealized dynamical core simulations with NCAR's Community Atmosphere Model (CAM).
The QBO is a phenomenon that takes place in the
equatorial stratosphere where the zonal wind oscillates between
the westward and eastward phase with a period of about 28 months. SSWs are occasional collapes
of the westerly polar jet in the polar stratosphere. Both phenomena are wave driven and excellent examples of wave-mean flow interactions. The
QBO is believed to be driven by gravity waves and equatorially trapped vertically
propagating waves, in particular Kelvin and Mixed Rossby-Gravity
waves, which act as momentum sources. In nature, these waves are e.g.
triggered by tropical convection. SSWs are driven by upward propagating long Rossby waves (with wavenumber 1 or 2) which originate in the tropospheric midlatitudes.
In order to analyze the QBO behavior and the phenomena that
contribute to its forcing we e.g. use the Transformed
Eularian Mean (TEM) analysis as well as wavenumber-frequency
Wavenumber-frequency diagrams reveal if certain wave types
are present in the data, such as Kelvin or mixed Rossby-Gravity waves.
Kelvin waves are expected to have periods of about 15 days, with
zonal wavenumber of about 1-2, and usually observed when the mean
zonal flow is easterly. Mixed Rossby-Gravity waves are expected to have
a 4-5-day period, with a zonal wavenumber of around 4. They are usually
observed when the mean zonal flow is westerly. The figures below illustrate
such analyses for the tropical region, derived from both CAM model data with the semi-Langrian dynamical core, as well as reanalysis
data (ERA40). We also apply our analysis technique to Sudden Stratospheric Warming (SSW) events to shed light on the interplay between waves and the mean flow, and investigate the impact of gravity wave drag parameterizations on the dynamics-physics interaction. These analyses reveal what the impact of the numerical dynamical core design is on the modeled stratospheric circulation.
Figure: Example of an idealized dynamical core simulation with NCAR's semi-Lagrangian spectral transform model (driven by the so-called Held-Suarez forcing). The figure shows the zonal-mean monthly-mean zonal wind at the equator. The oscillation resembles the Quasi-Biennial Oscillation (QBO) in the stratosphere (see e.g. Yao and Jablonowski, 2013, 2015, 2016).
The dynamical core of atmospheric General Circulation Models (GCMs) comprises the fluid dynamics component of every climate and weather forecasting model.
Tests of GCMs and, in
particular, tests of their dynamical cores are important steps
towards future model improvements. They reveal the influence of an
individual model design on climate and weather simulations and
indicate whether the circulation is described representatively by
the numerical approach. However, testing a global 3D atmospheric
model and it dynamical core is not straightforward.
In the absence of non-trivial analytic solutions, the model
evaluations most commonly rely on intuition, experience and model
idealized test cases for dynamical cores and conduct
international Dynamical Core Model Intercomparison Projects (DCMIP) (e.g. at NCAR in June 2008,
DCMIP-2012 in August 2012 and DCMIP-2016 in June 2016). An example of a
dynamical core test is the evolution of a baroclinic wave that is
also depicted in the figure below. In addition, we work on test
cases with intermediate complexity that include simple moisture
feedbacks, e.g. for tropical cyclone-like simulations.
Figure: Surface pressure field at day 9 of the baroclinic
instability test case simulated with 9 different dynamical cores.
The tests starts with balanced initial conditions that are overlaid
by a Gaussian hill perturbation. The grid imprint of the
cubed-sphere and icosahedral grids can be seen in the Southern
Hemisphere (GEOS-FVCUBE, GME, ICON, OLAM). Spectral ringing
appears in CAM-EUL and HOMME. The baroclinic wave test is
documented in Jablonowski and Williamson (QJ, 2006) and in the
Jablonowski and Williamson NCAR Technical Report TN-469+STR
This project assesses and quantifies the
role of unresolved subgrid-scale mixing processes in the dynamical
cores of state-of-the-art General Circulation Models (GCMs). The
representation of the subgrid scale in GCMs is complex. Besides
physical processes to be represented, numerical errors manifest
themselves as subgrid-scale diffusion, and mixing is used to assure
numerical stability and to compensate for numerical dispersion
errors. The quantitative effect of physical mixing is therefore
conflated with mixing processes associated with filtering, implicit
and explicit diffusion and numerical errors. This raises new
questions concerning the accuracy, stability and climate
sensitivity of today's climate modeling approaches.
We focus our research on the numerical schemes used in NCAR's
Community Atmosphere Model, version 5 (CAM 5). This model has
options for four very different dynamical cores. These
are the spectral-transform Eulerian and semi-Lagrangian dynamical
cores as well as the Finite Volume (FV) and HOMME spectral element dynamics package. All four are
well established to propagate resolved, long-scale, structures with
credible accuracy. However, they all treat small-scales
differently, from the point of view of both physical processes and
numerical construction. We perform a set of numerical experiments
with increasing complexity. In particular, we analyze the
subgrid-scale characteristics of idealized dynamical core
experiments like baroclinic instability studies, perform long-term
Held-Suarez climate runs with idealized forcing functions and
assess aqua-planet simulations with intermediate complexity. In
addition, the subgrid-scale mixing in tracer transport experiments
is investigated. We develop and apply evaluation techniques and test whether the lessons learned in simplified experiments are
predictors of the
performance in climate models. In 2011 we published a 113-page Springer book chapter on the pros and cons of diffusion, filters and fixers in GCMs that sheds
light on the many subgrid-scale mechannisms in today's weather and climate models.
Figure:Surface pressure (hPa) and 850 hPa meridional velocity (m/s) at day 9 of the growing
baroclinic wave test case of Jablonowski and Williamson (2006) from the CAM FV dynamical
core at a 1x1 degree resolution (about 110 km) with 26 vertical levels. Simulations with (a,b): default second-order divergence damping, (c,d) fourth-order
divergence damping, (e,f) no divergence damping. The unusual contour interval for the v
wind emphasizes the very weak oscillations in (d).
Our group is part of an interdisciplinary team (consisting of atmospheric scientists, hydrologists, computer scientists, web application developers and social scientists) at multiple institutions (University of Michigan, NOAA Earth System Research Laboratory, University of Colorado, NOAA Geophysical Fluid Dynamics Laboratory, NCAR). The team designs and builds open-source cyber-infrastructure tools for the Earth System Sciences. We play a key role in the design of collaborative workspaces that combine Wiki and search functionalities with the Earth System Grid (ESG), the Earth System Curator project, Live Access Servers for remote data visualization and analyses purposes, and metadata for models and data sets. The planned 2012 NCAR summer school and model intercomparison project (see above) will serve as a pilot project for this NSF-supported research activity.
Figure: Screenshot of the cyber-infrastructure tool (version 0.4 from September 2011) featured on the Commodity Governance (CoG) web page: https://earthsystemcog.org/projects/cog/ . The CoG workspace lists and links current prototype projects on the right hand side, like our 2008 Dynamical Core Workshop called Dycore-2008.
Latest update: March 19th, 2018