MOOSE swMATH ID: 18084 Software Authors: Permann, C. J.; Gaston, D. R.; Andrš, D.; Carlsen, R. W.; Kong, F.; Lindsay, A. D.; Miller, J. M.; Peterson, J. W.; Slaughter, A. E.; Stogner, R. H.; Martineau, R. C. Description: 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. Homepage: https://www.sciencedirect.com/science/article/pii/S2352711019302973 Source Code: https://github.com/idaholab/moose Keywords: Framework; Finite-element; Parallel; Multiphysics; Multiscale; SoftwareX Related Software: PETSc; FEniCS; deal.ii; libMesh; ParaView; Gmsh; COMSOL; GitHub; Matlab; VisIt; PFLOTRAN; FreeFem++; Trilinos; ParMoonolith; Utopia; Firedrake; Python; ABAQUS; ML; BoomerAMG Cited in: 49 Documents Further Publications: http://mooseframework.org/wiki/MoosePublications/ Standard Articles 1 Publication describing the Software Year MOOSE: Enabling massively parallel multiphysics simulation Link Permann, Cody J.; Gasto, Derek R.; Andrs, David; Carlsen, Robert W.; Kong, Fande; Lindsay, Alexander D.; Miller, Jason M.; Peterson, John W.; Slaughter, Andrew E.; Stogner, Roy H.; Martineau, Richard C. 2020 all top 5 Cited by 183 Authors 7 Krause, Rolf H. 3 Dolbow, John E. 3 Kopaničáková, Alena 3 Laboure, Vincent M. 3 Nestola, Maria Giuseppina Chiara 3 Wang, Yaqi 2 Chen, Xiaoqing 2 Coutinho, Alvaro L. G. A. 2 DeHart, Mark D. 2 Gaston, Derek R. 2 Guilleminot, Johann 2 Hamilton, Steven P. 2 Hu, Tianchen 2 Jiang, Wen 2 Martineau, Richard C. 2 Saar, Martin O. 2 Slaughter, Andrew E. 2 Tonks, Michael R. 2 Vogler, Daniel 2 von Planta, Cyrill 1 Ackermann, Sina 1 Alves, José L. D. 1 Anand, Lallit 1 Arunachala, Prajwal Kammardi 1 Azinpour, Erfan 1 Badia, Santiago 1 Baker, Benjamin 1 Beck, Martin 1 Becker, Beatrix 1 Becsek, Barna 1 Berge, Runar Lie 1 Berre, Inga 1 Bilgen, Carola 1 Bolisetti, Chandrakanth 1 Burbulla, Samuel 1 Cao, Jian 1 Caspari, Eva 1 Čermák, Martin 1 Chakroborty, Promit 1 Chang, Justin 1 Chen, Fan 1 Chen, Hailong 1 Chen, Peiyi 1 Chen, Xi 1 Chockalingam, Karthikeyan 1 Class, Holger 1 Coltman, Edward 1 Côrtes, Adriano M. A. 1 Cui, Xin 1 Darabi, Roya 1 Davidson, Gregory G. 1 de Marinis, Dario 1 de Sa, Jose Cesar 1 Dhulipala, Somayajulu L. N. 1 Diehl, Patrick 1 Dominesey, Kurt A. 1 Dugan, K. 1 Ehmann, Kornel 1 Elias, Renato N. 1 Ellis, J. Austin 1 Emmert, Simon 1 Evans, Thomas M. 1 Evans, Tom 1 Fabien, Maurice S. 1 Favino, Marco 1 Fetzer, Thomas 1 Flemisch, Bernd 1 Francois, Marianne M. 1 Fumagalli, Alessio 1 Fusek, Martin 1 Ghosh, Supriyo 1 Gläser, Dennis 1 Gleicher, Frederick 1 Godfrey, Andrew T. 1 Grave, Malú 1 Green, David K. E. 1 Grilli, Nicolò 1 Grüninger, Christoph 1 Guerra, Gabriel M. 1 Guo, Theron 1 Hales, J. D. 1 Hansen, Jon 1 Hapla, Vaclav 1 Hauck, Cory D. 1 Heck, Katharina 1 Holliger, Klaus 1 Hommel, Johannes 1 Hu, Daijun 1 Huang, Daniel Zhengyu 1 Hunziker, Jürg 1 Ji, Wei 1 Jin, Miaomiao 1 Johnson, Seth R. 1 Keilegavlen, Eirik 1 Kelley, Carl T. 1 Ketelsen, Christian 1 Kim, Tae-Yeon 1 Knepley, Matthew G. 1 Koch, Timo 1 Kong, Fande ...and 83 more Authors all top 5 Cited in 15 Serials 15 Computer Methods in Applied Mechanics and Engineering 8 Journal of Computational Physics 5 Computational Mechanics 4 SIAM Journal on Scientific Computing 4 Computational Geosciences 2 Computers & Mathematics with Applications 2 International Journal of Computational Fluid Dynamics 2 Journal of Computational and Theoretical Transport 1 Journal of the Mechanics and Physics of Solids 1 Applied Mathematics and Computation 1 Meccanica 1 Applied Mathematical Modelling 1 Archives of Computational Methods in Engineering 1 Mathematical Geosciences 1 Advances in Mathematical Physics all top 5 Cited in 15 Fields 24 Numerical analysis (65-XX) 20 Mechanics of deformable solids (74-XX) 15 Fluid mechanics (76-XX) 11 Statistical mechanics, structure of matter (82-XX) 5 Geophysics (86-XX) 4 Partial differential equations (35-XX) 2 Integral equations (45-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year