ALEGRA: An arbitrary Lagrangian – Eulerian multimaterial, multiphysics code. ALEGRA is an arbitrary Lagrangian-Eulerian (multiphysics) computer code developed at Sandia National Laboratories since 1990. The code contains a variety of physics options including magnetics, radiation, and multimaterial flow. The code has been developed for nearly two decades, but recent work has dramatically improved the code’s accuracy and robustness. These improvements include techniques applied to the basic Lagrangian differencing, artificial viscosity and the remap step of the method including an important improvement in the basic conservation of energy in the scheme. We will discuss the various algorithmic improvements and their impact on the results for important applications. Included in these applications are magnetic implosions, ceramic fracture modeling, and electromagnetic launch.

References in zbMATH (referenced in 15 articles )

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  1. Ragimli, O. R.; Poveshchenko, Yu. A.; Popov, S. B.: Two-layer 1D completely conservative difference schemes of gas dynamics with adaptive regularization (2022)
  2. Bragin, M. D.; Kriksin, Y. A.; Tishkin, V. F.: Entropy stable discontinuous Galerkin method for two-dimensional Euler equations (2021)
  3. Kenamond, Mack; Kuzmin, Dmitri; Shashkov, Mikhail: A positivity-preserving and conservative intersection-distribution-based remapping algorithm for staggered ALE hydrodynamics on arbitrary meshes (2021)
  4. Sanchez, J. J.: Inelastic equation of state for solids (2021)
  5. Kriksin, Y. A.; Tishkin, V. F.: Entropy stable discontinuous Galerkin method for Euler equations using non-conservative variables (2020)
  6. McGregor, D. A.; Robinson, A. C.: An indirect ALE discretization of single fluid plasma without a fast magnetosonic time step restriction (2019)
  7. Zou, Shijun; Yu, Xijun; Dai, Zihuan: A Runge-Kutta discontinuous Galerkin method for Lagrangian ideal magnetohydrodynamics equations in two-dimensions (2019)
  8. Kucharik, M.; Scovazzi, G.; Shashkov, M.; Loubère, R.: A multi-scale residual-based anti-hourglass control for compatible staggered Lagrangian hydrodynamics (2018)
  9. Shadid, J. N.; Pawlowski, R. P.; Cyr, E. C.; Tuminaro, R. S.; Chacón, L.; Weber, P. D.: Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton-Krylov-AMG (2016)
  10. Bernard-Champmartin, Aude; De Vuyst, Florian: A low diffusive Lagrange-remap scheme for the simulation of violent air-water free-surface flows (2014)
  11. Rider, W. J.; Love, E.; Scovazzi, G.; Weirs, V. G.: A high resolution Lagrangian method using nonlinear hybridization and hyperviscosity (2013)
  12. Robinson, A. C.; Berry, R. D.; Carpenter, J. H.; Debusschere, B.; Drake, R. R.; Mattsson, A. E.; Rider, W. J.: Fundamental issues in the representation and propagation of uncertain equation of state information in shock hydrodynamics (2013)
  13. Bishop, J. E.; Strack, O. E.: A statistical method for verifying mesh convergence in Monte Carlo simulations with application to fragmentation (2011)
  14. Robinson, A. C.; Niederhaus, J. H. J.; Weirs, V. G.; Love, E.: Arbitrary Lagrangian--Eulerian 3D ideal MHD algorithms (2011)
  15. 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)