Multiscale numerics for the atmosphere and ocean

Programme theme

Numerical models of the atmosphere and ocean have proved to be immensely valuable forecasting tools for short time-scale weather and longer time-scale seasonal and climate prediction. As the decades pass, these models have been improving due to increased computing power, improved modelling of the dynamics, improved parametrisation of sub-grid scale processes and improved use of observations. These modelling improvements may be slowing and further large increases in computing power will almost certainly emerge from heterogenous computing architectures configued in even more massively parallel machines. If we are unable to exploit these new opportunities in high-performance computing, our current models and codes risk becoming obsolete.

This programme will bring together leading developers of ocean and atmosphere models with numericists and computer scientists to explore radical new formulations which will address the limitations of current models and enable the most effective use of the computing platforms of the future.

Particular themes will include:

Adaptive simulation techniques

Adaptive meshes
Criteria for refinement
Mesh movement vs mesh refinement vs locally increasing polynomial order
Data assimilation and inverse problems on adaptive meshes

Numerical techniques

Closures accurate over a wide range of resolutions
Discretisations suited to the atmosphere and ocean
Solution of equation sets appropriate for the local mesh resolution
Preservation of balance, conservation, monotonicity, accuracy and high curvature under adaptation
Spurious wave reflection and refraction from mesh inhomogeneity

Computing techniques

Algorithims with sufficient computational efficiency and parallelism
Mapping numerical schemes to emerging massively parallel computer architectures

Click here to download the programme's final scientific report

Preprints

Title	Year	Programme
Cauchy-Riemann differential equations of the spherical geometry Authors: Janakiraman Subburathnam Download PDF	2012	AMM	10 May 2017
A reparametrisation of the sphere through a conformal mapping between the sphere and a Riemann surface Authors: Janakiraman Subburathnam Download PDF	2012	AMM	10 May 2017
Computable error bounds for finite element approximation on non-polygonal domains Authors: Mark Ainsworth, R Rankin Download PDF	2012	AMM	21 October 2016
A Bernstein-Bézier basis for arbitrary order Raviart-Thomas finite elements Authors: Mark Ainsworth, G Andriamaro, O Davydov Download PDF	2012	AMM	21 October 2016
Analysis of grid imprinting on geodesic spherical icosahedral grids Authors: Pedro da Silva Peixoto, SRM Barros Download PDF	2012	AMM	21 October 2016
A reparametrisation of the sphere through a conformal mapping between the sphere and a Riemann surface Authors: S Janakiraman Download PDF	2012	AMM	21 October 2016
Dispersive behaviour of high order finite element schemes for the one-way wave equation Authors: Mark Ainsworth Download PDF	2012	AMM	21 October 2016
On vector field reconstructions for semi-Lagrangian transport methods on geodesic staggered grids Authors: Pedro da Silva Peixoto, SRM Barros Download PDF	2012	AMM	21 October 2016

Workshops

AMMW01

Seminars

Tuesday 28th August 2012
10:30 to 11:00	Robert Klöfkorn University Corporation for Atmospheric Research (UCAR) Discussion on Adaptive DG Methods for Flow Problems	Room 1

Wednesday 29th August 2012
10:00 to 10:30	Hiroe Yamazaki University of Cambridge Nonhydrostatic atmospheric cut cell model on a block-structured Cartesian mesh	Room 1
10:30 to 11:00	Robert Hallberg Princeton University Resolution-dependent self-scaling physical parameterizations and numerical closures	Room 1

Thursday 30th August 2012
10:00 to 11:00	Alistair Adcroft Princeton University Resolution independent topography: from cut cells to thin walls and porous barriers	Room 1

Friday 31st August 2012
10:00 to 11:00	Jürgen Steppeler Deutsches Elektronen-Synchrotron High Order Polygonal Grids and Cut Cells (Polynomial degree 2 or 3)	Room 1

Monday 3rd September 2012
14:00 to 14:30	Markus Gross Met Office Non-linear trajectories with simultaneous space integration and auto-regressive predictors in Semi-Lagrangian integration: a discussion session	Room 2

Tuesday 4th September 2012
14:00 to 15:00	Bill Skamarock National Center for Atmospheric Research Transport Schemes: a discussion session	Room 2

Wednesday 5th September 2012
10:00 to 11:00	Some remarks about new computing architectures and a proposed alternative way to address time splitting for ocean models	Room 2
13:00 to 14:00	Colin Cotter Imperial College London Mixed Finite Elements: a discussion session	Room 2

Thursday 6th September 2012
13:30 to 14:30	Henry Weller OpenCFD Limited Accuracy and efficiency comparisons at the Newton Institute and beyond: a discussion session	Room 2

Friday 7th September 2012
09:30 to 10:00	Markus Gross Met Office Non-linear trajectories with simultaneous space integration and auto-regressive predictors in Semi-Lagrangian integration	Room 2
10:00 to 11:00	Janakiraman Subburathnam Centre for Development of Advanced Computing, (C-DAC) Cauchy-Riemann differential equations of the spherical geometry	Room 2

Monday 10th September 2012
10:00 to 10:30	Francis Giraldo Naval Postgraduate School Part I: Iterative Solvers and Preconditioners for solving large sparse linear systems	Room 2
10:30 to 11:00	Paul Fischer Argonne National Laboratory Part II: Iterative Solvers and Preconditioners for solving large sparse linear systems	Room 2
14:00 to 15:00	Robert Scheichl University of Bath Scalable multilevel iterative solvers for elliptic problems: a discussion session	Room 2

Tuesday 11th September 2012
10:00 to 11:00	Stéphane Popinet National Institute of Water & Atmospheric Research (NIWA) Quadtree-adaptive discretisations of the shallow-water equations	Room 2
13:30 to 14:30	Katharina Elsen Leibniz Institute for Tropospheric Research, Leipzig Logarithmic reconstruction on unstructured grids	Room 2

Wednesday 12th September 2012
10:00 to 11:00	John McGregor CSIRO Marine and Atmospheric Research (CMAR) The reversibly-staggered CCAM and VCAM models	Room 2

Thursday 13th September 2012
10:00 to 11:00	David Ham Imperial College London Multilayer abstractions for PDEs	Room 2
14:00 to 15:00	Jürgen Steppeler Deutsches Elektronen-Synchrotron To what extent can order of accuracy improve forecast skill? A discussion session	Room 2

Monday 17th September 2012
10:30 to 11:00	Sarah-Jane Lock European Centre for Medium-Range Weather Forecasts (ECMWF) Numerical analyses of Runge-Kutta IMEX schemes for use in atmospheric models	Room 2
13:30 to 14:00	JF Williams Simon Fraser University The leapfrog is dead. Long live the leapfrog!	Room 2

Tuesday 18th September 2012
10:00 to 10:30	Dale Durran University of Washington IMEX methods for fast-wave slow-wave problems	Room 2
10:30 to 11:00	Francis Giraldo Naval Postgraduate School Which type of time-integrators will make dynamic grid adaptivity feasible?	Room 2
13:30 to 14:00	Henry Weller OpenCFD Limited Runge-Kutta IMEX schemes for HEVI and semi-implicit simulations	Room 2
14:00 to 15:00	Dale Durran University of Washington IMEX: a discussion session	Room 2

Wednesday 19th September 2012
10:00 to 10:30	Jean Côté UQAM - Université du Québec à Montréal Time-Parallel Algorithms for Weather Prediction and Climate Simulation	Room 2

Thursday 20th September 2012
10:00 to 10:30	Ram Nair National Center for Atmospheric Research A High-Order Unstaggered Finite-Volume Approach for Atmospheric Numerical Modeling	Room 2

Friday 21st September 2012
10:00 to 11:00	Stéphane Popinet National Institute of Water & Atmospheric Research (NIWA) Suggestions for adaptive test cases: a discussion session	Room 2
13:30 to 14:00	Dale Durran University of Washington Does the energy that drives hurricanes also heat your beer?	Room 2

Monday 1st October 2012
10:00 to 10:30	Nicole Beisiegel Technische Universität Hamburg-Harburg Adaptive Discontinuous Galerkin Inundation Modelling	Room 1
10:30 to 11:00	Multiscale Fluid Models with Convected Microstructure	Room 1
13:30 to 14:00	Todd Ringler Los Alamos National Laboratory A Way Point on the Road to Dynamic Adaptivity: Early Results from Multi-Resolution Atmosphere and Ocean Models	Room 1
14:00 to 15:00	Todd Ringler Los Alamos National Laboratory What are the remaining outstanding issues with respect to multi-resolution models? A discussion session	Room 1
17:00 to 18:00	Max Gunzburger Florida State University The Science of Ice Sheets: the Mathematical Modeling and Computational Simulation of Ice Flows	Room 1

Tuesday 2nd October 2012
10:00 to 10:30	Piotr Smolarkiewicz National Center for Atmospheric Research Sound-proof global modeling for NWP and Climte	Room 1
10:30 to 11:00	Joanna Szmelter Loughborough University Sound-proof modeling on unstructured meshes	Room 1
13:30 to 14:00	Nils Wedi European Centre for Medium-Range Weather Forecasts (ECMWF) Quasi-anelastic vs. elastic modeling with ECMWF's IFS model	Room 1
14:00 to 15:00	Nils Wedi European Centre for Medium-Range Weather Forecasts (ECMWF) Sound-proof global models for atmospheres and oceans: a discussion session	Room 1

Wednesday 3rd October 2012
10:00 to 10:30	Joe Klemp National Center for Atmospheric Research Experiences with a smoothed terrain-following vertical coordinate in MPAS	Room 1
13:30 to 14:30	Rupert Klein Freie Universität Berlin Weakly compressible flows: regime of validity of sound-proof approximations	Room 1

Thursday 4th October 2012
10:00 to 10:30	Tommaso Benacchio Freie Universität Berlin Multilevel time integrators for large-scale atmospheric flows	Room 1
10:30 to 11:00	Stéphane Popinet National Institute of Water & Atmospheric Research (NIWA) (non)-convergence properties of the Laplacian operator on the conformal cubed-sphere	Room 1
13:30 to 14:30	Henry Weller OpenCFD Limited Planning meeting for new test cases and comparisons: a discussion session	Room 2

Monday 8th October 2012
10:00 to 11:00	Patrick Farrell Imperial College London Automated parallel adjoints for model differentiation, optimisation and stability analysis	Room 1

Tuesday 9th October 2012
10:00 to 11:00	Max Gunzburger Florida State University Multiscale spectral viscosity discretization methods for the Navier-Stokes equations or, another explicit filtering turbulence model, or another tweak of Smagor	Room 1

Wednesday 10th October 2012
10:00 to 11:00	Mike Cullen Met Office Designing numerical methods to respect asymptotic limit solutions	Room 1

Thursday 11th October 2012
10:00 to 11:00	Bruno Seny Université Catholique de Louvain A parallel multirate time-stepping strategy for ocean modelling	Room 1
13:30 to 14:30	Mike Cullen Met Office The importance and examples of asymptotic limit solutions in the atmosphere and ocean: a discussion session	Room 1

Tuesday 16th October 2012
10:00 to 10:30	Bill Skamarock National Center for Atmospheric Research Finite-volume transport schemes for Voronoi (hexagonal) meshes	Room 1
10:30 to 11:00	Simone Marras Universitat Politècnica de Catalunya Can we make high-order spectral elements (quasi) monotonic?	Room 1

Wednesday 17th October 2012
10:00 to 10:30	Sergey Danilov Alfred-Wegener-Institut für Polar- und Meeresforschung (AWI) Comparison of finite element and finite volume in ocean modelling	Room 1
13:30 to 14:30	Bill Skamarock National Center for Atmospheric Research Transport modeling: How much accuracy do we need for atmospheric simulation and how should we achieve high order? A discussion session	Room 1
15:00 to 16:00	informal discussion	Discussion Room

Thursday 1st November 2012
10:00 to 10:30	Chungang Chen Jiaotong University A co-volume scheme for the nonlinear shallow water equations on non-orthogonal grid	Room 1

Monday 5th November 2012
10:00 to 11:00	Stefan Vater Technische Universität Hamburg-Harburg On asymptotically adaptive numerical methods for long wave shallow water flows	Room 1

Tuesday 6th November 2012
10:00 to 11:00	High-resolution finite volume methods and multidimensional wave-propagation algorithms	Room 1
13:30 to 14:30	On the trial against Italian seismologists following the l'Aquila earthquake - facts, questions, consequences? A discussion session	Room 1

Wednesday 7th November 2012
10:00 to 11:00	Cut-cell Cartesian grid finite volume methods for complex geometry	Room 1
13:30 to 14:30	Cut-cell approaches: a discussion session	Room 1

Thursday 8th November 2012
10:00 to 11:00	John Shi Shanghai Jiao Tong University Mixing and stratification within the plume of the Changjiang River estuary, East China Sea: a numerical study	Room 1

Friday 9th November 2012
10:00 to 11:00	Pedro da Silva Peixoto Universidade de São Paulo Analysis of grid imprinting on geodesical spherical icosahedral grids	Room 1

Wednesday 14th November 2012
13:30 to 14:30	Thomas Dubos Centre de Physique Théorique de l’Ecole Polytechnique (CPHT) Wavelet building blocks for dynamic adaptivity : application to shallow-water equations on a hexagonal C-grid	Room 1

Thursday 15th November 2012
10:00 to 11:00	Daniel Le Roux Université Claude Bernard Lyon 1 Discrete analyses and numerical simulation of the shallow-water system	Room 1

Friday 16th November 2012
10:00 to 11:00	Feng Xiao Tokyo Institute of Technology High order finite volume methods using multi-moments or multi-moment constraints:basic idea, numerical formulations & applications to geophysical fluid dynamics	Room 1

Monday 19th November 2012
10:00 to 11:00	Chungang Chen Jiaotong University Development of high-order adaptive global models by multi-moment (constrained) finite volume method	Room 1

Tuesday 20th November 2012
10:00 to 11:00	Jun-ichi Yano Laboratoire de Météorologie Dynamique (LMD-ENS) Dynamical adaptive mesh-refinement with NAM-SCA model	Room 1
13:30 to 14:30	Peter Gent National Center for Atmospheric Research Gent McWilliams parametrisation	Room 1

Wednesday 21st November 2012
10:00 to 11:00	Mike Cullen Met Office Adaptive grid generation with application to data assimilation-with Chiara Piccolo	Room 1
11:30 to 12:30	Henry Weller OpenCFD Limited Progress with test cases: a discussion session	Room 2

Thursday 22nd November 2012
10:00 to 10:30	Simone Marras Universitat Politècnica de Catalunya 3D simulations of convective storms using Finite Elements with Variational Multiscale Stabilization	Room 1
13:30 to 16:30	Daniel Le Roux Université Claude Bernard Lyon 1 Finding the perfect horizontal discretisation: a discussion session	Room 1

Friday 23rd November 2012
10:00 to 11:00	Efficiency of adaptive mesh algorithms	Room 1

Monday 26th November 2012
10:00 to 11:00	Donna Calhoun Boise State University Reimann problems for gas dynamics with moisture and droplets	Room 1

Tuesday 27th November 2012
10:00 to 11:00	Paul Fischer Argonne National Laboratory Scaling turbulence simulations to beyond a million processes	Room 1

Wednesday 28th November 2012
11:30 to 12:30	Henry Weller OpenCFD Limited Progress with test cases: a discussion session	Room 2

Thursday 29th November 2012
10:00 to 11:00	Andreas Dedner University of Warwick Comparing a DG dynamical core with the production code COSMO	Room 1

Friday 30th November 2012
10:00 to 11:00	Christoph Erath National Center for Atmospheric Research New finite volume based tracer transport schemes for the Community Atmospheric Model (CAM-SE)	Room 1

Tuesday 4th December 2012
13:30 to 14:30	John Thuburn University of Exeter Computational modes: What are they and how bad are they for a weather/climate model dynamical core?	Room 2

Wednesday 5th December 2012
10:00 to 11:00	Jin Lee National Oceanic and Atmosphere Administration A non-hydrostatic three dimensional finite volume icosahedral model	Room 2
11:30 to 12:30	Henry Weller OpenCFD Limited Progress with test cases: a discussion session	Room 2
15:00 to 16:00	Informal discussion	Discussion Room

Thursday 6th December 2012
10:00 to 11:00	Horizontal discretisations suitable for coastal flooding studies with applications to mega-tsunamis	Room 2

Monday 10th December 2012
15:00 to 16:00	Stephen Pickles Science and Technology Facilities Council (STFC) Introduction to GungHo Computational Science week: a discussion session	Room 2
16:00 to 17:00	Elliptic Solvers on GPUs	Room 2

Tuesday 11th December 2012
10:00 to 12:00	David Ham Imperial College London Kernel or execution model: a discussion session	Room 2
14:00 to 17:00	Rupert Ford Science and Technology Facilities Council (STFC) Data model + interface to kernel + coupling: a discussion session	Room 2

Wednesday 12th December 2012
09:00 to 10:00	Henry Weller OpenCFD Limited Progess with test cases: a discussion session	Room 1
10:00 to 11:00	Luca Bonaventura Politecnico di Milano Variational Multiscale Approaches to Turbulence Modeling in the framework High Order Discretizations of Fluid Flow	Room 1
11:00 to 13:00	Graham Riley University of Manchester Infrastructure/framework (ESMFvsMCT etc)+interface to the data model + coupling issues. Identify potential show-stoppers & major obstacles etc. A discussion.	Room 2
14:00 to 16:00	Nigel Wood Met Office How to effectively engage with the non-GungHo Met O people. A discussion session	Room 2

Thursday 13th December 2012
10:00 to 12:00	Nigel Wood Met Office How are we going to manage actual code and coding? Ie plansfor Phase 2 Code. Coding standards etc. A discussion session	Room 2
13:00 to 16:00	Stephen Pickles Science and Technology Facilities Council (STFC) GungHo Computational Science week wrap up: A discussion session	Room 2

Tuesday 18th December 2012
11:30 to 12:30	Henry Weller OpenCFD Limited Progress with test cases: a discussion session	Room 2
13:30 to 14:30	Stephen Griffiths University of Leeds The long and short of modelling ocean tides	Room 1

Multiscale numerics for the atmosphere and ocean

Organisers

David Ham Imperial College London
Matthew Piggott Imperial College London
Todd Ringler Los Alamos National Laboratory
Hilary Weller University of Reading
Nigel Wood Met Office

Speakers

Alistair Adcroft Princeton University
Nicole Beisiegel Technische Universität Hamburg-Harburg
Tommaso Benacchio Freie Universität Berlin
Luca Bonaventura Politecnico di Milano
Donna Calhoun Boise State University
Chungang Chen Jiaotong University
Colin Cotter Imperial College London
Mike Cullen Met Office
Jean Côté UQAM - Université du Québec à Montréal
Sergey Danilov Alfred-Wegener-Institut für Polar- und Meeresforschung (AWI)
Andreas Dedner University of Warwick
Thomas Dubos Centre de Physique Théorique de l’Ecole Polytechnique (CPHT)
Dale Durran University of Washington
Katharina Elsen Leibniz Institute for Tropospheric Research, Leipzig
Christoph Erath National Center for Atmospheric Research
Patrick Farrell Imperial College London
Paul Fischer Argonne National Laboratory
Rupert Ford Science and Technology Facilities Council (STFC)
Peter Gent National Center for Atmospheric Research
Francis Giraldo Naval Postgraduate School
Stephen Griffiths University of Leeds
Markus Gross Met Office
Max Gunzburger Florida State University
Robert Hallberg Princeton University
David Ham Imperial College London
Rupert Klein Freie Universität Berlin
Joe Klemp National Center for Atmospheric Research
Robert Klöfkorn University Corporation for Atmospheric Research (UCAR)
Daniel Le Roux Université Claude Bernard Lyon 1
Jin Lee National Oceanic and Atmosphere Administration
Sarah-Jane Lock European Centre for Medium-Range Weather Forecasts (ECMWF)
Simone Marras Universitat Politècnica de Catalunya
John McGregor CSIRO Marine and Atmospheric Research (CMAR)
Ram Nair National Center for Atmospheric Research
Pedro da Silva Peixoto Universidade de São Paulo
Stephen Pickles Science and Technology Facilities Council (STFC)
Stéphane Popinet National Institute of Water & Atmospheric Research (NIWA)
Graham Riley University of Manchester
Todd Ringler Los Alamos National Laboratory
Robert Scheichl University of Bath
Bruno Seny Université Catholique de Louvain
John Shi Shanghai Jiao Tong University
Bill Skamarock National Center for Atmospheric Research
Piotr Smolarkiewicz National Center for Atmospheric Research
Jürgen Steppeler Deutsches Elektronen-Synchrotron
Janakiraman Subburathnam Centre for Development of Advanced Computing, (C-DAC); Indian Institute of Science
Joanna Szmelter Loughborough University
John Thuburn University of Exeter
Stefan Vater Technische Universität Hamburg-Harburg
Nils Wedi European Centre for Medium-Range Weather Forecasts (ECMWF)
Henry Weller OpenCFD Limited
JF Williams Simon Fraser University
Nigel Wood Met Office
Feng Xiao Tokyo Institute of Technology
Hiroe Yamazaki University of Cambridge
Jun-ichi Yano Laboratoire de Météorologie Dynamique (LMD-ENS)

Show All

Multiscale numerics for the atmosphere and ocean

Programme theme

Preprints

Cauchy-Riemann differential equations of the spherical geometry

A reparametrisation of the sphere through a conformal mapping between the sphere and a Riemann surface

Computable error bounds for finite element approximation on non-polygonal domains

A Bernstein-Bézier basis for arbitrary order Raviart-Thomas finite elements

Analysis of grid imprinting on geodesic spherical icosahedral grids

A reparametrisation of the sphere through a conformal mapping between the sphere and a Riemann surface

Dispersive behaviour of high order finite element schemes for the one-way wave equation

On vector field reconstructions for semi-Lagrangian transport methods on geodesic staggered grids

Workshops

Adaptive multiscale methods for the atmosphere and ocean

Solution of partial differential equations on the sphere (PDEs on the sphere)

Weather and climate prediction on next generation supercomputers

Seminars

Organisers

Speakers

Supported By

Multiscale numerics for the atmosphere and ocean

Programme theme

Preprints

Cauchy-Riemann differential equations of the spherical geometry

A reparametrisation of the sphere through a conformal mapping between the sphere and a Riemann surface

Computable error bounds for finite element approximation on non-polygonal domains

A Bernstein-Bézier basis for arbitrary order Raviart-Thomas finite elements

Analysis of grid imprinting on geodesic spherical icosahedral grids

A reparametrisation of the sphere through a conformal mapping between the sphere and a Riemann surface

Dispersive behaviour of high order finite element schemes for the one-way wave equation

On vector field reconstructions for semi-Lagrangian transport methods on geodesic staggered grids

Workshops

Adaptive multiscale methods for the atmosphere and ocean

Solution of partial differential equations on the sphere (PDEs on the sphere)

Weather and climate prediction on next generation supercomputers

Seminars

Organisers

Speakers

Supported By

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