Introduces an adjoint projection method using volume-weighted metric to control numerical ∇·B errors in SPMHD, achieving roundoff-level accuracy with 1-10% overhead and consistent physical structures versus divergence cleaning.
Journal of Computational Physics , year = 2002, month = jan, volume =
17 Pith papers cite this work, alongside 1,296 external citations. Polarity classification is still indexing.
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representative citing papers
A Runge-Kutta-Gegenbauer super-time-stepping method for stable, efficient handling of anisotropic non-ideal MHD diffusion.
Vibes is a new algorithm that extracts physically motivated core structures from numerical star formation simulations by applying the virial theorem iteratively around density peaks to determine boundaries from energy balance rather than user-set density thresholds.
Special relativistic simulations predict detectable radio emission from nightside magnetic structures around planets in pulsar winds, including for the known planet PSR J0636+5129 b.
In idealised driven subsonic MHD boxes, Arepo, Athena and Ramses all show dynamo amplification whose residual differences are explained by numerical diffusion, with no systematic advantage of constrained transport.
3D MHD simulations show high-thrust, magnetically stabilized jets reach 5 Mpc in 15 Myr while weaker jets disrupt at ~3 Mpc over 35 Myr.
3D RMHD simulations with hybrid particle tracking reproduce the weak radio and strong X-ray redshift evolution in AGN jets via IC/CMB, including the (1+z)^4 X-ray scaling and the alpha-z relation.
Dedner's mixed divergence cleaning produces substantial artifacts for strongly localized magnetic fields or sudden timestep changes; constrained transport is more accurate, and some prior early-Universe amplification claims may be affected.
In cool-core cluster simulations, mixing with pre-existing cold gas, not direct radiative cooling, dominates condensation; magnetic fields stretch the pre-condensation history to ~150 Myr and brake infalling clouds through tension.
Non-force-free initial magnetic fields in solar flare simulations release about twice the magnetic energy and yield EUV emission closer to observations than conventional NLFF extrapolations.
Stereoscopic HXR and EOVSA microwave data constrain source heights in a data-driven MHD simulation of the 2024 Oct 1 X7.1 flare, confirming consistency and associating a secondary source with southward reconnection in a current sheet that exhibits a higher electron low-energy cutoff.
Numerical MHD and test-particle simulations indicate that unsteady loop-top dynamics enhance electron acceleration efficiency compared to quasi-steady cases by mitigating betatron cooling at compressed field edges.
Observational data-driven MHD simulations reproduced an X1.6 flare's onset and showed that photospheric velocity input extends prediction lead time beyond one hour.
3D MHD simulations of young massive star clusters find proton acceleration to hundreds of TeV near O-star termination shocks, with even faster acceleration to over 100 TeV in under 100 years when a supernova remnant expands inside the core.
GPU port of entropy-stable DG Euler solver with non-conservative buoyancy terms reaches nearly 70% of 64-bit peak on A100 volume kernels, delivers 10x speedup and 13x better energy efficiency versus CPU, and preserves symmetry-based flux savings.
Implements advanced GRMHD numerical techniques in Athena++ and demonstrates them via simulations of magnetically arrested disks around black holes.
citing papers explorer
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An Adjoint Projection Formulation for Enforcing the divergence-free Constraint in Smoothed Particle Magnetohydrodynamics
Introduces an adjoint projection method using volume-weighted metric to control numerical ∇·B errors in SPMHD, achieving roundoff-level accuracy with 1-10% overhead and consistent physical structures versus divergence cleaning.
-
A robust super-time-stepping scheme for Ohmic and ambipolar diffusion
A Runge-Kutta-Gegenbauer super-time-stepping method for stable, efficient handling of anisotropic non-ideal MHD diffusion.
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Virial-based extraction of structures in numerical simulations: The vibes tool
Vibes is a new algorithm that extracts physically motivated core structures from numerical star formation simulations by applying the virial theorem iteratively around density peaks to determine boundaries from energy balance rather than user-set density thresholds.
-
Planets in Pulsar Winds
Special relativistic simulations predict detectable radio emission from nightside magnetic structures around planets in pulsar winds, including for the known planet PSR J0636+5129 b.
-
A comparison of numerical schemes for driven subsonic MHD turbulence
In idealised driven subsonic MHD boxes, Arepo, Athena and Ramses all show dynamo amplification whose residual differences are explained by numerical diffusion, with no systematic advantage of constrained transport.
-
Simulating megaparsec-scale jets of radio galaxies: Magneto-hydrodynamics of jets reaching 5 Mpc
3D MHD simulations show high-thrust, magnetically stabilized jets reach 5 Mpc in 15 Myr while weaker jets disrupt at ~3 Mpc over 35 Myr.
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The Radio--X-ray Correlation of High-Redshift AGN: A Numerical Study of Inverse-Compton Scattering of the CMB Photons in Relativistic Jets
3D RMHD simulations with hybrid particle tracking reproduce the weak radio and strong X-ray redshift evolution in AGN jets via IC/CMB, including the (1+z)^4 X-ray scaling and the alpha-z relation.
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Systematic Comparison between Constrained Transport and Mixed Divergence Cleaning Methods for Astrophysical Magnetohydrodynamic Simulations
Dedner's mixed divergence cleaning produces substantial artifacts for strongly localized magnetic fields or sudden timestep changes; constrained transport is more accurate, and some prior early-Universe amplification claims may be affected.
-
XMAGNET -- Stir before serving: a Lagrangian perspective on mixing-driven condensation in the intracluster medium
In cool-core cluster simulations, mixing with pre-existing cold gas, not direct radiative cooling, dominates condensation; magnetic fields stretch the pre-condensation history to ~150 Myr and brake infalling clouds through tension.
-
Energetics and Emission in a Simulated Solar Flare Initialised by a Non-Force Free Magnetic Field
Non-force-free initial magnetic fields in solar flare simulations release about twice the magnetic energy and yield EUV emission closer to observations than conventional NLFF extrapolations.
-
Non-thermal Sources from Stereoscopic Hard X-ray and Earth-based Microwave Observations in a Data-Constrained Magnetohydrodynamic Simulation
Stereoscopic HXR and EOVSA microwave data constrain source heights in a data-driven MHD simulation of the 2024 Oct 1 X7.1 flare, confirming consistency and associating a secondary source with southward reconnection in a current sheet that exhibits a higher electron low-energy cutoff.
-
Numerical Investigation of Efficient Electron Acceleration at an Unsteady Solar Flare Loop-Top
Numerical MHD and test-particle simulations indicate that unsteady loop-top dynamics enhance electron acceleration efficiency compared to quasi-steady cases by mitigating betatron cooling at compressed field edges.
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Predictability of a solar flare in May 2024 using observational data-driven MHD simulations
Observational data-driven MHD simulations reproduced an X1.6 flare's onset and showed that photospheric velocity input extends prediction lead time beyond one hour.
-
Direct simulations of very high energy cosmic ray acceleration in 3D MHD model of a compact star cluster
3D MHD simulations of young massive star clusters find proton acceleration to hundreds of TeV near O-star termination shocks, with even faster acceleration to over 100 TeV in under 100 years when a supernova remnant expands inside the core.
-
GPU Performance of an Entropy-Stable Discontinuous Galerkin Euler Solver with Non-Conservative Terms
GPU port of entropy-stable DG Euler solver with non-conservative buoyancy terms reaches nearly 70% of 64-bit peak on A100 volume kernels, delivers 10x speedup and 13x better energy efficiency versus CPU, and preserves symmetry-based flux savings.
-
Development and Application of Numerical Techniques for General-Relativistic Magnetohydrodynamics Simulations of Black Hole Accretion
Implements advanced GRMHD numerical techniques in Athena++ and demonstrates them via simulations of magnetically arrested disks around black holes.
- Modelling the delayed shock-breakout emission following jet-launching binary neutron star mergers via relativistic magnetohydrodynamic simulations simulations