Skip to main content
Go to the home page of the European Commission (opens in new window)
English English
CORDIS - EU research results
CORDIS
Content archived on 2024-06-18

Excision and outer boundary conditions for the Einstein equations

Objective

Gravitational waves are expected to open up a new window for Astronomy in the near future. Numerical simulations are essential for this effort. By combining the results of simulations of systems containing compact stars or black holes with observational data we can hope to probe the dynamics of strong gravitational fields. The results will have significant impact on our understanding of the Universe. With the exponential growth of computer power, the numerical simulations of astrophysical interesting situations are becoming feasible. However, fully 3D numerical relativity simulations of gravitational-wave sources such as binary black holes or neutron stars are plagued by numerical instabilities whose origin is elusive. Well-posed ness of the continuum problem has been identified as a key ingredient for numerical stability. In this research project we shall formulate boundary conditions (both at the outer boundary of the numerical domain, and at interior boundaries where black holes are excised), which are both consistent with the constraints And mathematically well posed. Well-posed ness proofs for problems with boundaries are limited to smooth surfaces. However, a global spherical grid has coordinate singularities on which are hard to overcome, and is not well adapted for simulating binary merger containing excised regions. We shall explore a Cartesian main grid with overlapping grids adapted to the outer boundary and excision boundaries. Our aim is to construct stable and consistent numerical schemes, including boundary conditions, for binary black hole or neutron star simulations. As we proceed, we shall develop the mathematical theory of well-posed constraint-preserving boundary conditions, and in parallel develop the overlapping grids method by studying a variety of model problems ranging from the wave equation to full general relativity and from axisymmetry to 3D.

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.

You need to log in or register to use this function

Keywords

Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)

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.

Call for proposal

Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.

FP6-2002-MOBILITY-5
See other projects for this call

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.

EIF - Marie Curie actions-Intra-European Fellowships

Coordinator

DEPARTMENT OF MATHEMATICS, UNIVERSITY OF SOUTHAMPTON
EU contribution
No data
Address
Highfield
SOUTHAMPTON
United Kingdom

See on map

Total cost

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.

No data
My booklet 0 0