NIMROD solves the extended magnetohydrodynamic equations using: Spectral finite element discretization in two dimensions, Finite Fourier series in the third dimension, Semi-implicit and implicit temporal discretization for the range of temporal scales found in fusion experiments, Simulation particles for kinetic effects from a minority species of energetic ions, and Integro-differential methods for kinetic effects from free-streaming.

References in zbMATH (referenced in 28 articles )

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  1. Liu, Yong; Liu, Qingyuan; Liu, Yuan; Shu, Chi-Wang; Zhang, Mengping: Locally divergence-free spectral-DG methods for ideal magnetohydrodynamic equations on cylindrical coordinates (2019)
  2. Einkemmer, Lukas; Tokman, Mayya; Loffeld, John: On the performance of exponential integrators for problems in magnetohydrodynamics (2017)
  3. Ma, Jun; Guo, Wenfeng; Yu, Zhi: Simulating magnetohydrodynamic instabilities with conservative perturbed MHD model using discontinuous Galerkin method (2017)
  4. Held, M.; Wiesenberger, M.; Stegmeir, A.: Three discontinuous Galerkin schemes for the anisotropic heat conduction equation on non-aligned grids (2016)
  5. Minjeaud, Sebastian; Pasquetti, Richard: Fourier-spectral element approximation of the ion-electron Braginskii system with application to tokamak edge plasma in divertor configuration (2016)
  6. Prague, Mélanie: Use of dynamical models for treatment optimization in HIV infected patients: a sequential Bayesian analysis approach (2016)
  7. Sovinec, C. R.: Stabilization of numerical interchange in spectral-element magnetohydrodynamics (2016)
  8. Jenkins, Thomas G.; Held, Eric D.: Coupling extended magnetohydrodynamic fluid codes with radiofrequency ray tracing codes for fusion modeling (2015)
  9. Lee, Jungpyo; Cerfon, Antoine: ECOM: A fast and accurate solver for toroidal axisymmetric MHD equilibria (2015)
  10. Howell, E. C.; Sovinec, C. R.: Solving the Grad-Shafranov equation with spectral elements (2014)
  11. Pataki, Andras; Cerfon, Antoine J.; Freidberg, Jeffrey P.; Greengard, Leslie; O’Neil, Michael: A fast, high-order solver for the Grad-Shafranov equation (2013)
  12. Sitaraman, H.; Raja, L. L.: A matrix free implicit scheme for solution of resistive magneto-hydrodynamics equations on unstructured grids (2013)
  13. Knight, P. J.; Thyagaraja, A.; Edwards, T. D.; Hein, J.; Romanelli, M.; McClements, K. G.: CENTORI: a global toroidal electromagnetic two-fluid plasma turbulence code (2012)
  14. Adams, Mark F.; Samtaney, Ravi; Brandt, Achi: Toward textbook multigrid efficiency for fully implicit resistive magnetohydrodynamics (2010)
  15. Breslau, J. A.; Fu, G. Y.: Implementation of an implicit shear Alfvén operator in the M3D code (2010)
  16. Shadid, J. N.; Pawlowski, R. P.; Banks, J. W.; Chacón, L.; Lin, P. T.; Tuminaro, R. S.: Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods (2010)
  17. Sovinec, C. R.; King, J. R.; Nimrod Team: Analysis of a mixed semi-implicit/implicit algorithm for low-frequency two-fluid plasma modeling (2010)
  18. Ferraro, N. M.; Jardin, S. C.: Calculations of two-fluid magnetohydrodynamic axisymmetric steady-states (2009)
  19. Guermond, J.-L.; Laguerre, R.; Léorat, J.; Nore, C.: Nonlinear magnetohydrodynamics in axisymmetric heterogeneous domains using a Fourier/finite element technique and an interior penalty method (2009)
  20. Breslau, J. A.; Sovinec, C. R.; Jardin, S. C.: An improved tokamak sawtooth benchmark for 3D nonlinear MHD (2008)

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