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SuPerMan focuses on developing advanced numerical methods for solving conservation laws in General Relativistic Hydrodynamics. The project aims to enhance the predictability and efficiency of simulations related to astrophysical phenomena, particularly turbulent flows around black holes, by preserving key invariants in…
SuPerMan proposes the development and efficient implementation of new structure preserving schemes for conservation laws formulated in an elegant and universal form through covariant derivatives on spacetime manifolds.Indeed, nonlinear systems of hyperbolic PDEs are characterized by invariants, whose preservation at the discrete level is not trivial, but plays a fundamental role in improving the long term predictivity and reducing the computational effort of modern algorithms.
Besides mass and l…
INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET AUTOMATIQUE
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