Abstract
A simple novel approach to maintain the divergence-free condition with adaptive mesh refinement is presented. This new approach uses reconstructions on the coarse faces together with the divergence-free condition to reconstruct the field values on the internal fine faces. It does not construct a global interpolation polynomial over a whole coarse cell. Therefore, it can be easily applied to any refinement ratio. It is implemented via a directionally splitting approach so that it can be applied to any kind of grids and in any dimensions. Implementation is presented in the Cartesian, cylindrical and spherical geometries. It is shown by several 2D magneto-hydrodynamic simulations that such a method can keep the divergence-free error of magnetic fields at the round-off level.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
