MOOSE swMATH ID: 18084 Software Authors: Derek Gaston, Chris Newman, Glen Hansen, Damien Lebrun-Grandié 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: http://mooseframework.org/ Related Software: FEniCS; libMesh; PETSc; deal.ii; ParaView; Gmsh; COMSOL; Matlab; VisIt; PFLOTRAN; FreeFem++; Trilinos; ParMoonolith; Utopia; Python; preCICE; PorePy; OpenGeoSys; MRST; DuMuX Cited in: 38 Publications Further Publications: http://mooseframework.org/wiki/MoosePublications/ all top 5 Cited by 149 Authors 6 Krause, Rolf H. 3 Nestola, Maria Giuseppina Chiara 2 Chen, Xiaoqing 2 Coutinho, Alvaro L. G. A. 2 Hamilton, Steven P. 2 Jiang, Wen 2 Kopaničáková, Alena 2 Laboure, Vincent M. 2 Saar, Martin O. 2 Tonks, Michael R. 2 Vogler, Daniel 2 von Planta, Cyrill 2 Wang, Yaqi 1 Ackermann, Sina 1 Alves, José L. D. 1 Anand, Lallit 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 Burbulla, Samuel 1 Cao, Jian 1 Caspari, Eva 1 Čermák, Martin 1 Chang, Justin 1 Chen, Hailong 1 Chockalingam, Karthikeyan 1 Class, Holger 1 Coltman, Edward 1 Côrtes, Adriano M. A. 1 Cui, Xin 1 Davidson, Gregory G. 1 de Marinis, Dario 1 DeHart, Mark D. 1 Diehl, Patrick 1 Dolbow, John E. 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 Gaston, Derek R. 1 Ghosh, Supriyo 1 Gläser, Dennis 1 Gleicher, Frederick 1 Godfrey, Andrew T. 1 Grave, Malú 1 Green, David K. E. 1 Grüninger, Christoph 1 Guerra, Gabriel M. 1 Hales, J. D. 1 Hansen, Jon 1 Hapla, Vaclav 1 Hauck, Cory D. 1 Heck, Katharina 1 Holliger, Klaus 1 Hommel, Johannes 1 Huang, Daniel Zhengyu 1 Hunziker, Jürg 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 Kuhlman, Kristopher L. 1 Kurz, Theresa 1 Lee, Sungmun 1 Lesueur, Martin 1 Li, Duo 1 Lins, Erb F. 1 Lintermann, Andreas 1 Lipp, Melanie 1 Lipton, Robert P. 1 Liu, Yingjie 1 Malama, Bwalya 1 Manteuffel, Thomas A. 1 Mao, Yunwei 1 Markopoulos, Alexandros 1 Martín, Alberto F. 1 Martineau, Richard C. 1 McClarren, Ryan G. 1 Meinke, Matthias 1 Millett, P. C. 1 Mills, Richard Tran ...and 49 more Authors all top 5 Cited in 14 Serials 10 Computer Methods in Applied Mechanics and Engineering 6 Journal of Computational Physics 4 Computational Geosciences 3 Computational Mechanics 3 SIAM Journal on Scientific Computing 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 Archives of Computational Methods in Engineering 1 Mathematical Geosciences 1 Advances in Mathematical Physics all top 5 Cited in 13 Fields 22 Numerical analysis (65-XX) 14 Fluid mechanics (76-XX) 12 Mechanics of deformable solids (74-XX) 8 Statistical mechanics, structure of matter (82-XX) 5 Geophysics (86-XX) 2 Partial differential equations (35-XX) 2 Integral equations (45-XX) 2 Computer science (68-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 Statistics (62-XX) 1 Biology and other natural sciences (92-XX) Citations by Year