Abstract
Concerns regarding efficiency and accuracy of Smoothed Particle Hydrodynamics (SPH) compared to modern grid-based methods have been raised. Likewise, the extension of SPH to MHD problems has proven to be a challenge. In an attempt to improve the ability of SPH to treat shocks in general, and MHD shocks in particular, a modified version of SPH called Regularized Smoothed Particle Hydrodynamics (RSPH) has been presented [1]. This method allows a piecewise constant smoothing length profile to be used. Furthermore, the smoothing length profile is optimized at temporal intervals using a mass, momentum and internal erergy conserving regularization process. In this paper, we examine more closely the abilities of the RSPH method to treat MHD shocks. We present a simple stability analysis, as well as results from MHD shock tests in one and two dimensions.
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References
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Børve, S., Omang, M., Trulsen, J. (2003). SPH Simulations of MHD Shocks Using a Piecewise Constant Smoothing Length Profile. In: Griebel, M., Schweitzer, M.A. (eds) Meshfree Methods for Partial Differential Equations. Lecture Notes in Computational Science and Engineering, vol 26. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56103-0_4
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DOI: https://doi.org/10.1007/978-3-642-56103-0_4
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