A fast multi-dimensional magnetohydrodynamic formulation of the transition region adaptive conduction (TRAC) method

The research leading to these results has received funding from the UK Science and Technology Facilities Council (consolidated grant ST/N000609/1), the European Union Horizon 2020 research and innovation programme (grant agreement No. 647214). IDM received funding from the Research Council of Norway through its Centres of Excellence scheme, project number 262622. CDJ acknowledges support from the International Space Science Institute (ISSI), Bern, Switzerland to the International Teams on “Observed Multi-Scale Variability of Coronal Loops as a Probe of Coronal Heating” and “Interrogating Field-Aligned Solar Flare Models: Comparing, Contrasting and Improving”.