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Assessment of the MUSTA approach for numerical relativistic hydrodynamics


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Article

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Authors

Blakely, PM 
Nikiforakis, Nikolaos  ORCID logo  https://orcid.org/0000-0002-6694-2362
Henshaw, WD 

Abstract

Aims. We evaluate some approximations for solving the equations of special relativistic hydrodynamics within complex geometries. In particular, we assess the following schemes: the Generalized FORCE (GFORCE) and MUlti STAge (MUSTA) approaches which are used as the basis for a second-order-accurate Slope-LImited-Centred (SLIC) method. These do not require detailed knowledge of the characteristic structure of the system, but have the potential to be nearly as accurate as more expensive schemes which do require this knowledge. Methods. In order to treat complex geometries, we use multiple overlapping grids which allow the capturing of complex geometries while retaining the efficiencies associated with structured grids. Results. The schemes are evaluated using a suite of one dimensional problems some of which have known exact solutions, and it is shown that the schemes can be used at CFL numbers close to the theoretical stability limit. We compare the effects of the MUSTA approach when applied to two different schemes. The scheme is further validated on a number of problems involving complex geometries with overlapping grids.

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Keywords

methods: numerical, hydrodynamics, relativistic processes, shock waves

Journal Title

Astronomy and Astrophysics

Conference Name

Journal ISSN

0004-6361
1432-0746

Volume Title

575

Publisher

EDP Sciences
Sponsorship
This work was funded by an EPSRC Doctoral Training Grant.