Gerris swMATH ID: 341 Software Authors: Popinet, Stéphane Description: Gerris is a Free Software program for the solution of the partial differential equations describing fluid flow. The source code is available free of charge under the Free Software GPL license. Gerris was created by Stéphane Popinet and is supported by NIWA (National Institute of Water and Atmospheric research) and Institut Jean le Rond d’Alembert. A brief summary of its main features: Solves the time-dependent incompressible variable-density Euler, Stokes or Navier-Stokes equations Solves the linear and non-linear shallow-water equations Adaptive mesh refinement: the resolution is adapted dynamically to the features of the flow Entirely automatic mesh generation in complex geometries Second-order in space and time Unlimited number of advected/diffused passive tracers Flexible specification of additional source terms Portable parallel support using the MPI library, dynamic load-balancing, parallel offline visualisation Volume of Fluid advection scheme for interfacial flows Accurate surface tension model Multiphase electrohydrodynamics Homepage: http://gfs.sourceforge.net/wiki/index.php/Main_Page Keywords: Incompressible flow; Adaptive mesh refinement; Approximate projection method; Complex geometry Related Software: PROST; SLIC; Basilisk; KRAKEN; PETSc; p4est; OpenFOAM; PARAMESH; InterFOAM; VOFTools; voFoam; hypre; NASA-VOF2D; RAMSES; Chombo; Vofi; deal.ii; HE-E1GODF; FEATFLOW; Wesseling Cited in: 351 Publications Further Publications: http://gfs.sourceforge.net/wiki/index.php/Bibliography Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Gerris: A tree-based adaptive solver for the incompressible Euler equations in complex geometries. Zbl 1076.76002Popinet, Stéphane 2003 all top 5 Cited by 704 Authors 20 Popinet, Stéphane 16 Gibou, Frédéric 13 Zaleski, Stéphane 10 Deike, Luc 10 Ni, Mingjiu 10 Zhang, Jie 8 Min, Chohong 8 Scardovelli, Ruben 7 Bothe, Dieter 7 Cimpeanu, Radu 6 Afkhami, Shahriar 6 Fuster, Daniel 6 Sahu, Kirti Chandra 5 Fedkiw, Ronald P. 5 Manservisi, Sandro 5 Mostert, Wouter 5 Shu, Chang 4 Burstedde, Carsten 4 Cifani, Paolo 4 Denner, Fabian 4 Francois, Marianne M. 4 Guittet, Arthur 4 Hendrickson, Kelli 4 Ji, Hua 4 Josserand, Christophe 4 Lien, Fue-Sang 4 Marić, Tomislav 4 Marschall, Holger 4 Olshanskii, Maxim A. 4 Theillard, Maxime 4 Tripathi, Manoj Kumar 4 van Wachem, Berend G. M. 4 Vassilevski, Yuri V. 4 Vincent, Stéphane 4 Yee, Eugene 3 Aniszewski, Wojciech 3 Ardekani, Arezoo M. 3 Armfield, Steven William 3 Cervone, Antonio 3 Chakraborty, Suman 3 Chen, Xiaodong 3 Colella, Phillip 3 Desjardins, Olivier 3 Dietze, Georg F. 3 Ding, Hang 3 Dodd, Michael S. 3 Estivalezes, Jean-Luc 3 Evrard, Fabien 3 Farsoiya, Palas Kumar 3 Ferrante, Antonino 3 Gilmanov, Anvar 3 Huang, Ziyang 3 Klein, Markus 3 Kumar Das, Prasanta 3 Lagrée, Pierre-Yves 3 Lin, Guang 3 Lin, Wenxian 3 Magnaudet, Jacques 3 Malan, Arnaud George 3 Mandal, Shubhadeep 3 Matar, Omar K. 3 Melville, W. Kendall 3 Ménard, Thibaut 3 Nürnberg, Robert 3 Osher, Stanley Joel 3 Owkes, Mark 3 Perrard, Stéphane 3 Ray, Pascal 3 Srinarayana, N. 3 Terekhov, Kirill M. 3 Tomar, Gaurav 3 Udaykumar, Holavanahalli S. 3 Weigand, Bernhard 3 Yang, Vigor 3 Yu, Xiangming 3 Yue, Dick K. P. 2 Abu-Al-Saud, Moataz O. 2 Acharya, Sumanta 2 Agbaglah, Gilou 2 Antepara, Oscar 2 Antkowiak, Arnaud 2 Arslanbekov, R. R. 2 Ausas, Roberto Federico 2 Azarmanesh, Milad 2 Balcázar, Néstor 2 Balla, Mounika 2 Bandopadhyay, Aditya 2 Barrett, John William 2 Berlemont, Alain 2 Bhalla, Amneet Pal Singh 2 Biros, George 2 Buscaglia, Gustavo Carlos 2 Caltagirone, Jean-Paul 2 Campbell, Bryce K. 2 Ceniceros, Hector D. 2 Chakraborty, Nilanjan 2 Chernyshenko, Alexey Y. 2 Chibbaro, Sergio 2 Chirco, Leonardo 2 Coquerelle, Mathieu ...and 604 more Authors all top 5 Cited in 34 Serials 132 Journal of Computational Physics 76 Journal of Fluid Mechanics 48 Computers and Fluids 11 International Journal for Numerical Methods in Fluids 9 Journal of Scientific Computing 8 SIAM Journal on Scientific Computing 7 Computer Methods in Applied Mechanics and Engineering 7 European Journal of Mechanics. B. Fluids 6 International Journal of Heat and Mass Transfer 5 Computers & Mathematics with Applications 4 Applied Mathematical Modelling 3 International Journal for Numerical Methods in Engineering 3 International Journal of Computational Fluid Dynamics 2 Acta Mechanica 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Engineering Analysis with Boundary Elements 2 Comptes Rendus. Mécanique. Académie des Sciences, Paris 2 Communications in Computational Physics 1 Biological Cybernetics 1 Physica A 1 Fluid Dynamics Research 1 Meccanica 1 SIAM Journal on Numerical Analysis 1 Applied Mathematics Letters 1 Proceedings of the National Academy of Sciences of the United States of America 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Science in China. Series E 1 Multiscale Modeling & Simulation 1 International Journal of Numerical Analysis and Modeling 1 FDMP. Fluid Dynamics & Materials Processing 1 Applied Mathematical Sciences (Ruse) 1 Cuadernos de Matemática y Mecánica 1 ISRN Applied Mathematics all top 5 Cited in 14 Fields 314 Fluid mechanics (76-XX) 134 Numerical analysis (65-XX) 29 Partial differential equations (35-XX) 14 Classical thermodynamics, heat transfer (80-XX) 9 Mechanics of deformable solids (74-XX) 7 Computer science (68-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Geophysics (86-XX) 4 Biology and other natural sciences (92-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year