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An ADER-WENO Finite Volume AMR code for Astrophysics · Around

2014

An ADER-WENO Finite Volume AMR code for Astrophysics

Zanotti, Olindo, Dumbser, Michael, Hidalgo, Arturo et al.

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A high order one-step ADER-WENO finite volume scheme with Adaptive Mesh Refinement (AMR) in multiple space dimensions is presented.

A high order one-step time discretization is achieved using a local space-time discontinuous Galerkin predictor method, while a high order spatial accuracy is obtained through a WENO reconstruction.
Thanks to the one-step nature of the underlying scheme, the resulting algorithm can be efficiently imported within an AMR framework on space-time adaptive meshes.
We provide convincing evidence that the presented high order AMR scheme behaves better than traditional second order AMR methods.

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Balsara, D., & Spicer, D. 1999, Journal of Computational Physics, 149, 270
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Toro, E., Millington, R., & Nejad, L. 2001, in Godunov Methods. Theory and Applications, edited by E. Toro (Kluwer/Plenum Academic Publishers), 905–938
2001
Earlier work this paper cites.

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Then

Dumbser, M., & Zanotti, O. 2009, Journal of Computational Physics, 228, 6991
2009
Later among the works it cites.
Hidalgo, A., & Dumbser, M. 2011, Journal of Scientific Computing, 48, 173
2011
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Zanotti, O., & Dumbser, M. 2011, Monthly Notices of the Royal Astronomical Society, 418, 1004
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Dumbser, M., Zanotti, O., Hidalgo, A., & Balsara, D. S. 2013, Journal of Computational Physics, 248, 257
2013
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Dumbser, M., Hidalgo, A., & Zanotti, O. 2014, Computer Methods in Applied Mechanics and Engineering, 268, 359-387
2014
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