Objective
It is proposed to study the Boussinesq equations of water wave theory from modelling, analysis and numerical approximation points of view. These equations consist of systems of nonlinear partial diffrential equations of evolution that model two-way propagation of long waves of small amplitude on the water surface. We will first study the well-posedness of new initial-boundary value problems (ibvp's) of physical interest for these systems in 1 and 2D, modelling surface wave flows over horizontal bottoms. We will construct efficient numerical methods for these systems and prove rigorous stability and convergence estimates. For Boussinesq systems modelling waves over bottoms of variable topography, we will study the well-posedness of associated ibvp's in 1 and 2D and prove error estimates for fully discrete finite element methods for their numerical approximation. Finally, we will develop an efficient finite element computer code for the simulation of solutions of Boussinesq systems with variable bottom, with the aim of using it in tsunami propagation studies. We will equip the code with tsunami source mechanisms and with empirical regridding techniques in one and two space dimensions to simulate tsunami run-up on the coast.
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 astronomy planetary sciences planetary geology
- natural sciences mathematics applied mathematics numerical analysis
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
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Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
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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.
Call for proposal
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP7-PEOPLE-2007-2-1-IEF
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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.
Coordinator
91405 ORSAY CEDEX
France
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.