The∇· B= 0 constraint in shock-capturing magnetohydrodynamics codes

G Tóth - Journal of Computational Physics, 2000 - Elsevier
Seven schemes to maintain the∇· B= 0 constraint numerically are compared. All these
algorithms can be combined with shock-capturing Godunov type base schemes. They fall …

Modeling the subsurface structure of sunspots

H Moradi, C Baldner, AC Birch, DC Braun… - Solar Physics, 2010 - Springer
While sunspots are easily observed at the solar surface, determining their subsurface
structure is not trivial. There are two main hypotheses for the subsurface structure of …

What sustained multi-disciplinary research can achieve: The space weather modeling framework

TI Gombosi, Y Chen, A Glocer, Z Huang… - Journal of Space …, 2021 - swsc-journal.org
Magnetohydrodynamics (MHD)-based global space weather models have mostly been
developed and maintained at academic institutions. While the “free spirit” approach of …

Adaptive mesh refinement for conservative systems: multi-dimensional efficiency evaluation

R Keppens, M Nool, G Tóth, JP Goedbloed - Computer Physics …, 2003 - Elsevier
Obtainable computational efficiency is evaluated when using an Adaptive Mesh Refinement
(AMR) strategy in time accurate simulations governed by sets of conservation laws. For a …

Galactic dynamo and helicity losses through fountain flow

A Shukurov, D Sokoloff, K Subramanian… - Astronomy & …, 2006 - aanda.org
Aims. Nonlinear behaviour of galactic dynamos is studied, allowing for magnetic helicity
removal by the galactic fountain flow. Methods. A suitable advection speed is estimated, and …

An optimal, parallel, fully implicit Newton–Krylov solver for three-dimensional viscoresistive magnetohydrodynamics

L Chacón - Physics of Plasmas, 2008 - pubs.aip.org
The conceptual development and implementation of a scalable nonlinear solver for the time-
dependent three-dimensional (3D) compressible resistive magnetohydrodynamics model …

Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods

JN Shadid, RP Pawlowski, JW Banks, L Chacón… - Journal of …, 2010 - Elsevier
This paper explores the development of a scalable, nonlinear, fully-implicit stabilized
unstructured finite element (FE) capability for 2D incompressible (reduced) resistive MHD …

Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton–Krylov-AMG

JN Shadid, RP Pawlowski, EC Cyr, RS Tuminaro… - Computer Methods in …, 2016 - Elsevier
The computational solution of the governing balance equations for mass, momentum, heat
transfer and magnetic induction for resistive magnetohydrodynamics (MHD) systems can be …

The winds of young Solar-type stars in the Pleiades, AB Doradus, Columba, and β Pictoris

D Evensberget, SC Marsden, BD Carter… - Monthly Notices of …, 2023 - academic.oup.com
Solar-type stars, which shed angular momentum via magnetized stellar winds, enter the
main sequence with a wide range of rotational periods P rot. This initially wide range of …

A cloud-based flood warning system for forecasting impacts to transportation infrastructure systems

MM Morsy, JL Goodall, GL O'Neil, JM Sadler… - … modelling & software, 2018 - Elsevier
The ability to quickly and accurately forecast flooding is increasingly important as extreme
weather events become more common. This work focuses on designing a cloud-based real …