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Structure Preserving schemes for Conservation Laws on Space Time Manifolds

Project description

Solving hyperbolic conservation laws in computational astrophysics

Nonlinear systems of hyperbolic partial differential equations are characterised by invariants, whose preservation also on the discrete level plays a fundamental role in reducing the computational complexity of their numerical simulations. Furthermore, the conservation of mass and angular momentum, the conservation of stationary and moving equilibria, and the identification of asymptotic limits are challenging issues. These are especially relevant in astrophysical applications, such as turbulent flows around black holes, oscillations of neutron stars and generation and propagation of gravitational waves. Funded by the Marie Skłodowska-Curie Actions programme, the SuPerMan project will develop smart structure preserving methods independent of the coordinate system and with high order of accuracy, to effectively study the evolution of spacetime in general relativity.

Coordinator

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET AUTOMATIQUE
Net EU contribution
€ 184 707,84
Address
Domaine De Voluceau Rocquencourt
78153 Le Chesnay Cedex
France

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Region
Ile-de-France Ile-de-France Yvelines
Activity type
Research Organisations
Non-EU contribution
€ 0,00