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• W2041357072 abstract "We present a constrained formulation of Dedner et al's hyperbolic/parabolic divergence cleaning scheme for enforcing the nabladot B = 0 constraint in Smoothed Particle Magnetohydrodynamics (SPMHD) simulations. The constraint we impose is that energy removed must either be conserved or dissipated, such that the scheme is guaranteed to decrease the overall magnetic energy. This is shown to require use of conjugate numerical operators for evaluating nabladot B and nabla{psi} in the SPMHD cleaning equations. The resulting scheme is shown to be stable at density jumps and free boundaries, in contrast to an earlier implementation by Price & Monaghan (2005). Optimal values of the damping parameter are found to be {sigma} = 0.2-0.3 in 2D and {sigma} = 0.8-1.2 in 3D. With these parameters, our constrained Hamiltonian formulation is found to provide an effective means of enforcing the divergence constraint in SPMHD, typically maintaining average values of h |nabladot B| / |B| to 0.1-1%, up to an order of magnitude better than artificial resistivity without the associated dissipation in the physical field. Furthermore, when applied to realistic, 3D simulations we find an improvement of up to two orders of magnitude in momentum conservation with a corresponding improvement in numerical stability at essentially zero additional computational expense." @default.
• W2041357072 created "2016-06-24" @default.
• W2041357072 creator A5013805663 @default.
• W2041357072 creator A5085447632 @default.
• W2041357072 date "2012-08-01" @default.
• W2041357072 modified "2023-10-18" @default.
• W2041357072 title "Constrained hyperbolic divergence cleaning for smoothed particle magnetohydrodynamics" @default.
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• W2041357072 doi "https://doi.org/10.1016/j.jcp.2012.06.039" @default.
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