Philosophy + Aims
Ocean circulation models are a repository for mechanistic theories of
how the ocean works, with numerical methods used to transform
mathematical expressions of the theories into a computational tool for
scientific investigations. Physical theories and numerical methods
provide the foundation for ocean circulation models. The practice of
ocean modeling uses models as an experimental tool to help reveal
mechanisms for patterns of ocean phenomena emerging from the governing
equations. Models and modeling form the two pillars of numerical and
theoretical oceanography, with these pillars supported by, and in turn
supporting, observational oceanography and laboratory studies.
Throughout my career I have endeavored to bring rigor and synthesis to the many intellectual strands comprising the foundations of ocean models and forming the practice of ocean modeling. This work has spanned nearly all areas of ocean and climate science, from ocean model algorithms and code development, climate model development, theoretical studies into subgrid scale parameterizations, and formulations of experimental protocols supporting the systematic analysis of model intercomparison projects. This page summarizes some of this work, and offers pointers for where research can bring further insights.
Science of Models
The science going into ocean models includes theories for how the ocean works (e.g., the equations of motion including subgrid scale parameterizations) and numerical methods for discretizing the mathematical equations. This section outlines areas where I have contributed to this science.
As part of my work on ocean models foundations, I have offered both novel ideas and syntheses across a number of methods. Here are samples from this work.
- Developmenets in Ocean Climate Modelling: Griffies et al (2000)
- Spurious diapycnal mixing associated with advection in a z-coordinate ocean model: Griffies, Pacanowski, and Hallberg (2000)
- Tracer conservation with an explicit free surface method for z-coordinate ocean models: Griffies et al (2001)
- Fundamentals of Ocean Climate Models (book): Griffies (2005)
- Formulation of an ocean model for global climate simulations: Griffies et al (2005)
- Formulating the equations of an ocean model: Griffies and Adcroft (2008)
- Science of Ocean Climate Models: Griffies (2009)
- Problems and Prospects in Large-Scale Ocean Circulation Models: Griffies et al (2010)
- Ocean circulation models and modelling: Griffies and Treguier (2013)
- Vertical resolution of baroclinic modes in global ocean models: Stewart et al (2017)
The ocean eddy parameterization problem (aka the ocean turbulence closure problem) remains among the most important and intellectually challenging problems in theoretical physical oceanography. It is important since eddy parameterizations, from the planetary boundary layer to the ocean interior to the bottom boundary layer, have a huge role in determining the performance of ocean climate models. It is challenging since it draws upon a wide variety of physical and mathematical skill sets. I have an ongoing interest in ocean eddy parameterization questions, and am particularly motivated by some exciting theoretical/modeling and observational studies conducted during recent years. Notably, there are many unsolved questions looking for energetic students and post-docs to crack!
- Isoneutral diffusion in a z-coordinate ocean model: Griffies et al. (1998)
- The Gent-McWilliams skew flux: Griffies (1998)
- Biharmonic friction with a Smagorinsky-like viscosity for use in large-scale eddy-permitting ocean models: Griffies and Hallberg (2000)
- A boundary-value problem for the parameterized mesoscale eddy transport: Ferrari, Griffies, Nurser, and Vallis (2010)
- On geometrical aspects of interior ocean mixing: McDougall, Groeskamp, and Griffies (2014)
- Impacts of parameterized Langmuir turbulence and non-breaking waves on global climate simulations: Fan and Griffies (2014)
- The KPP boundary layer scheme for the ocean: revisiting its formulation and benchmarking one-dimensional simulations relative to LES: Van Roekel et al (2018)
Modular Ocean Model (MOM)
During the years 1997-2013, much of my working day consisted of
developing MOM versions 3,4, and 5. This work remains among the most
rewarding of my career. Although I stopped focusing on development
after MOM5 in early 2013,
I remain engaged in a variety of scientific activities that make use
of this code, most notably the COSIMA
(Consortium for Ocean-Sea Ice Modelling in Australia) and the CM2.6 project. Both projects pursue studies of
global climate at model resolutions that admit a rich field of
More recent efforts of ocean code development at GFDL center on MOM6, which is a project led by my close colleagues and friends Alistair Adcroft and Robert Hallberg. My role in MOM6 has largely focused on its diagnostic capabilities, with much work remaining to make MOM6 as friendly to ocean analysts as it is to numericists. Quite generally, MOM6 offers many sophisticated numerical features and physical parameterizations well beyond MOM5. These enhancements provide ocean modelers with critical tools needed to address a number of high profile climate related questions such as sea level rise and ocean heat uptake. All of my recent mentoring activities involve the use of MOM6 as a tool for idealized and realistic model simulations and analysis.
Science of Modeling
When handed a model, the modeler must decide how to use it for revealing phenomena (e.g., waves, turbulence, boundary currents, overturning circulations, climate variations) emerging from the fundamental equations. Questions arise surrounding how to design a numerical experiment that is reproducible by others who may wish to compare/contrast their model results. And when simulation results are obtained, questions then arise concerning how to rationalize the output through analysis and interpretation. Here I summarize areas where my research efforts have contributed to help answer these questions.
Global ocean/sea-ice models are commonly used to help understand the
mechanics of ocean climate variations and to directly compare to
observations. In the absence of an interactive atmospheric model, the
modeler must make decisions for how to force the ocean/sea-ice model
in a way that does not compromise on the scientific investigation.
During the period from 2000 to 2009, I worked with colleagues on the CLIVAR Working Group for Ocean Model Development , now called the Ocean Model Development Panel (OMDP), to develop an experimental protocol for running global ocean/sea-ice models. This protocol is known as the Coordinated Ocean-sea ice Reference Experiments (CORE). The CORE protocol has become a community standard, thus forming the basis for the Ocean Model Intercomparison Project (OMIP) ongoing as part of CMIP6.
- Coordinated Ocean-ice Reference Experiments (COREs): Griffies et al (2009)
- OMIP contribution to CMIP6: experimental and diagnostic protocol for the physical component of the Ocean Model Intercomparison Project: Griffies et al (2016)
Given a robust model, a sensible experimental design, and sufficient computing, one then moves onto questions about how to rationalize the output from the simulation. This task brings us back to fundamentals, with the associated analysis confronting us with very basic questions about the underlying fluid mechanics. Here are some papers that develop a suite of analysis methods, some of which are of use for analyzing data from both models and observations.
- Physical processes that impact the evolution of global mean sea level in ocean climate models: Griffies and Greatbatch (2012)
- The deep ocean buoyancy budget and its temporal variability: Palter, Griffies, et al (2013)
- Lagrangian ocean analysis: fundamentals and practices: van Sebille, Griffies, et al (2018)
- The water mass transformation framework for ocean physics and biogeochemistry: Groeskamp, Griffies, et al (2019)