MOOSE: A parallel computational framework for coupled systems of nonlinear equations. Systems of coupled, nonlinear partial differential equations (PDEs) often arise in simulation of nuclear processes. MOOSE: Multiphysics Object Oriented Simulation Environment, a parallel computational framework targeted at the solution of such systems, is presented. As opposed to traditional data-flow oriented computational frameworks, MOOSE is instead founded on the mathematical principle of Jacobian-free Newton–Krylov (JFNK). Utilizing the mathematical structure present in JFNK, physics expressions are modularized into “Kernels,” allowing for rapid production of new simulation tools. In addition, systems are solved implicitly and fully coupled, employing physics-based preconditioning, which provides great flexibility even with large variance in time scales. A summary of the mathematics, an overview of the structure of MOOSE, and several representative solutions from applications built on the framework are presented.

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  1. Cui, Xin; Wong, Louis Ngai Yuen: A 3D fully thermo-hydro-mechanical coupling model for saturated poroelastic medium (2022)
  2. Diehl, Patrick; Lipton, Robert; Wick, Thomas; Tyagi, Mayank: A comparative review of peridynamics and phase-field models for engineering fracture mechanics (2022)
  3. Elizabeth Julia Monte, Alexandru Andrei Vasile, James Lowman, Nasser Mohieddin Abukhdeir: OpenCMP: An Open-Source Computational Multiphysics Package (2022) not zbMATH
  4. Ghosh, Supriyo; Newman, Christopher K.; Francois, Marianne M.: \textttTusas: a fully implicit parallel approach for coupled phase-field equations (2022)
  5. Xie, Jiaxi; Ehmann, Kornel; Cao, Jian: MetaFEM: a generic FEM solver by meta-expressions (2022)
  6. Grave, Malú; Coutinho, Alvaro L. G. A.: Adaptive mesh refinement and coarsening for diffusion-reaction epidemiological models (2021)
  7. Keilegavlen, Eirik; Berge, Runar; Fumagalli, Alessio; Starnoni, Michele; Stefansson, Ivar; Varela, Jhabriel; Berre, Inga: PorePy: an open-source software for simulation of multiphysics processes in fractured porous media (2021)
  8. Koch, Timo; Gläser, Dennis; Weishaupt, Kilian; Ackermann, Sina; Beck, Martin; Becker, Beatrix; Burbulla, Samuel; Class, Holger; Coltman, Edward; Emmert, Simon; Fetzer, Thomas; Grüninger, Christoph; Heck, Katharina; Hommel, Johannes; Kurz, Theresa; Lipp, Melanie; Mohammadi, Farid; Scherrer, Samuel; Schneider, Martin; Seitz, Gabriele; Stadler, Leopold; Utz, Martin; Weinhardt, Felix; Flemisch, Bernd: DuMu(^\textx 3) -- an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling (2021)
  9. Kuhlman, Kristopher L.; Malama, Bwalya: Uncoupling electrokinetic flow solutions (2021)
  10. Li, Duo: Urban planning image feature enhancement and simulation based on partial differential equation method (2021)
  11. Chen, Xi; Williams, David M.: Versatile mixed methods for the incompressible Navier-Stokes equations (2020)
  12. Cortes, Adriano M. A.; Lins, Erb F.; Guerra, Gabriel M.; Silva, Rômulo M.; Alves, José L. D.; Elias, Renato N.; Rochinha, Fernando A.; Coutinho, Alvaro L. G. A.: EdgeCFD: a parallel residual-based variational multiscale code for multiphysics (2020)
  13. Favino, Marco; Hunziker, Jürg; Caspari, Eva; Quintal, Beatriz; Holliger, Klaus; Krause, Rolf: Fully-automated adaptive mesh refinement for media embedding complex heterogeneities: application to poroelastic fluid pressure diffusion (2020)
  14. Kim, Tae-Yeon; Jiang, Wen; Lee, Sungmun; Song, Jeong-Hoon; Yeun, Chan Yeob; Park, Eun-Jae: A Nitsche-type variational formulation for the shape deformation of a single component vesicle (2020)
  15. Kopaničáková, Alena; Krause, Rolf: A recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture (2020)
  16. Lesueur, Martin; Poulet, Thomas; Veveakis, Manolis: Three-scale multiphysics finite element framework (FE(^3)) modelling fault reactivation (2020)
  17. Lintermann, Andreas; Meinke, Matthias; Schröder, Wolfgang: Zonal flow solver (ZFS): a highly efficient multi-physics simulation framework (2020)
  18. von Planta, Cyrill; Vogler, Daniel; Chen, Xiaoqing; Nestola, Maria G. C.; Saar, Martin O.; Krause, Rolf: Modelling of hydro-mechanical processes in heterogeneous fracture intersections using a fictitious domain method with variational transfer operators (2020)
  19. Zhang, Shuaifang; Jiang, Wen; Tonks, Michael R.: A new phase field fracture model for brittle materials that accounts for elastic anisotropy (2020)
  20. Chen, Hailong: A comparison study on peridynamic models using irregular non-uniform spatial discretization (2019)

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