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Numerical simulations of interfaces in relativistic hydrodynamics

Numerical simulations of interfaces in relativistic hydrodynamics
Numerical simulations of interfaces in relativistic hydrodynamics
We consider models of relativistic matter containing sharp interfaces across which the matter model changes. These models will be relevant for neutron stars with crusts, phase transitions, or for viscous boundaries where the length scale is too short to be modelled smoothly. In particular we look at numerical techniques that allow us to evolve stable interfaces, for the interfaces to merge, and for strong waves and shocks to interact with the interfaces. We test these techniques for ideal hydrodynamics in special and general relativity for simple equations of state, finding that simple level set-based methods extend well to relativistic hydrodynamics
0264-9381
015007-[23pp]
Millmore, S.T.
1d8d7293-2639-4a67-a08e-8aebf5dc554b
Hawke, I.
fc964672-c794-4260-a972-eaf818e7c9f4
Millmore, S.T.
1d8d7293-2639-4a67-a08e-8aebf5dc554b
Hawke, I.
fc964672-c794-4260-a972-eaf818e7c9f4

Millmore, S.T. and Hawke, I. (2010) Numerical simulations of interfaces in relativistic hydrodynamics. Classical and Quantum Gravity, 27 (1), 015007-[23pp]. (doi:10.1088/0264-9381/27/1/015007).

Record type: Article

Abstract

We consider models of relativistic matter containing sharp interfaces across which the matter model changes. These models will be relevant for neutron stars with crusts, phase transitions, or for viscous boundaries where the length scale is too short to be modelled smoothly. In particular we look at numerical techniques that allow us to evolve stable interfaces, for the interfaces to merge, and for strong waves and shocks to interact with the interfaces. We test these techniques for ideal hydrodynamics in special and general relativity for simple equations of state, finding that simple level set-based methods extend well to relativistic hydrodynamics

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More information

Submitted date: 24 September 2009
Published date: 7 January 2010
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 71932
URI: http://eprints.soton.ac.uk/id/eprint/71932
ISSN: 0264-9381
PURE UUID: efd3fe34-a6b8-49ec-9d40-780a3940af8e
ORCID for I. Hawke: ORCID iD orcid.org/0000-0003-4805-0309

Catalogue record

Date deposited: 12 Jan 2010
Last modified: 14 Mar 2024 02:50

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Contributors

Author: S.T. Millmore
Author: I. Hawke ORCID iD

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