Objective
Accurate and reliable simulations of weather, ocean and climate require computational models that result from structure-preserving – e.g. mass or energy conserving – discretizations of the equations of geophysical fluid dynamics (GFD). This research project aims to derive, implement and evaluate various structure-preserving discretizations (of different order of accuracy) of the nonlinear shallow-water equations, which are suitable for weather/ocean/climate applications. The derivations will rely on a novel form of covariant equations of GFD that I have formulated using Differential Geometry, in which the equations are split into metric-free (topological) and metric-dependent parts. Based on the systematic discretization I have introduced for the split linear shallow-water equations, this project intends to extend this approach also to the split nonlinear case and to derive structure-preserving discretizations that preserve in the discrete case, too, the splitting into topological and metric terms. As the topological terms require less mathematical structure, we expect an advantage in terms of easiness of discretization and efficiency of implementation.
To derive corresponding discrete equations, we apply finite element exterior calculus (FEEC) as recently Cotter and Thuburn, whose resulting discretizations of conventional covariant nonlinear shallow-water equations fulfil many desirable properties for geophysical applications. Moreover, compared to the split form I proposed, their discrete equations show a similar, however not identical, structure. We study the differences and use their derivations as guideline for ours. To implement and test the various models, we use the software libraries Firedrake and FEniCS. Besides a general “discretization recipe” to derive structure-preserving models, this project will provide open-source software which will be of practical use for the geophysical model community.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences physical sciences classical mechanics fluid mechanics fluid dynamics
- natural sciences mathematics pure mathematics geometry
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
- natural sciences earth and related environmental sciences atmospheric sciences climatology climatic changes
- natural sciences mathematics pure mathematics algebra algebraic geometry
You need to log in or register to use this function
We are sorry... an unexpected error occurred during execution.
You need to be authenticated. Your session might have expired.
Thank you for your feedback. You will soon receive an email to confirm the submission. If you have selected to be notified about the reporting status, you will also be contacted when the reporting status will change.
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
-
H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions
MAIN PROGRAMME
See all projects funded under this programme -
H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility
See all projects funded under this programme
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
MSCA-IF-EF-ST - Standard EF
See all projects funded under this funding scheme
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) H2020-MSCA-IF-2014
See all projects funded under this callCoordinator
Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
SW7 2AZ London
United Kingdom
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.