Your English writing platform
Discover LudwigExact(11)
The key challenge in applying such methods to ideal MHD is to control divergence errors in the magnetic field.
Furthermore, the schemes are remarkably stable even at very fine mesh resolutions and handle the divergence constraint efficiently with low divergence errors.
The resulting system is hyperbolic, and the divergence errors propagate with the speed of light to the boundary of the computational domain.
In comparison to results obtained without correction or with the standard "divergence source terms," our approach seems to yield more robust schemes with significantly smaller divergence errors.
We suggest a formulation in which the divergence errors are transported to the domain boundaries with the maximal admissible speed and are damped at the same time.
Divergence errors are transported out of the domain and damped using the mixed hyperbolic/parabolic divergence cleaning technique by Dedner et al. (2002) [11].
Similar(49)
An error diffusion method controls the generation of magnetic divergence error.
It includes a mechanism to control the discrete divergence error of the magnetic field by construction and is Galilean invariant.
Hyperbolic and parabolic projections and responses are compared, together with different methods for avoiding magnetic divergence error.
We demonstrate that the instability is related to the divergence error of the computed solution at those velocity points at which the continuity equation is not enforced.
Accuracy, stability, and convergence of the semidiscrete approximation to Maxwell's equations is established rigorously and bounds on the growth of the global divergence error are provided.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com