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
015007-[23pp]
Millmore, S.T.
1d8d7293-2639-4a67-a08e-8aebf5dc554b
Hawke, I.
fc964672-c794-4260-a972-eaf818e7c9f4
7 January 2010
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), .
(doi:10.1088/0264-9381/27/1/015007).
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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Submitted date: 24 September 2009
Published date: 7 January 2010
Organisations:
Applied Mathematics
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Local EPrints ID: 71932
URI: http://eprints.soton.ac.uk/id/eprint/71932
ISSN: 0264-9381
PURE UUID: efd3fe34-a6b8-49ec-9d40-780a3940af8e
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Date deposited: 12 Jan 2010
Last modified: 14 Mar 2024 02:50
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Author:
S.T. Millmore
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