A third order shock-capturing numerical scheme for three-dimensional special relativistic magnetohydrodynamics (3-D RMHD) is presented and validated against several numerical tests of astrophysical interest. The scheme avoids completely spectral decomposition into characteristic waves, computationally expensive and subject to many degenerate cases in the magnetic case, while it makes use of a two-speed Riemann solver that just require the knowledge of the two local fast magnetosonic velocities. Moreover, the onset of spurious magnetic monopoles, which is a typical problem for multi-dimensional MHD upwind codes, is prevented by properly taking into account the solenoidal constraint and the specific antisymmetric nature of the induction equation. The extension to generalized orthogonal curvilinear coordinate systems is included, thus the scheme is ready to incorporate general relativistic (GRMHD) effects. Finally, the code is parallelized under MPI directives and is able to run on all supercomputing platforms with excellent scalability.

Relativistic MHD with central-type schemes. Axisymmetric simulations of Pulsar Wind Nebulae / Del Zanna, Luca. - In: MEMORIE DELLA SOCIETÀ ASTRONOMICA ITALIANA. - ISSN 1824-016X. - STAMPA. - 4:(2004), pp. 36-39.

Relativistic MHD with central-type schemes. Axisymmetric simulations of Pulsar Wind Nebulae

DEL ZANNA, LUCA
2004

Abstract

A third order shock-capturing numerical scheme for three-dimensional special relativistic magnetohydrodynamics (3-D RMHD) is presented and validated against several numerical tests of astrophysical interest. The scheme avoids completely spectral decomposition into characteristic waves, computationally expensive and subject to many degenerate cases in the magnetic case, while it makes use of a two-speed Riemann solver that just require the knowledge of the two local fast magnetosonic velocities. Moreover, the onset of spurious magnetic monopoles, which is a typical problem for multi-dimensional MHD upwind codes, is prevented by properly taking into account the solenoidal constraint and the specific antisymmetric nature of the induction equation. The extension to generalized orthogonal curvilinear coordinate systems is included, thus the scheme is ready to incorporate general relativistic (GRMHD) effects. Finally, the code is parallelized under MPI directives and is able to run on all supercomputing platforms with excellent scalability.
2004
4
36
39
Del Zanna, Luca
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/593938
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