SPHysics swMATH ID: 16794 Software Authors: M. Gomez-Gesteira, B.D. Rogers, A.J.C. Crespo, R.A. Dalrymple, M. Narayanaswamym, J.M. Dominguez Description: SPHysics – development of a free-surface fluid solver – Part 1: Theory and formulations. A free-surface fluid solver called SPHysics is presented. Part 1 provides a description of the governing equations based on Smoothed Particle Hydrodynamics (SPH) theory. The paper describes the formulations implemented in the code including the classical SPH formulation along with enhancements like density filtering, arbitrary Lagrange–Euler (ALE) schemes and the incorporation of Riemann solvers for particle–particle interactions. Second-order time stepping schemes are presented along with the boundary conditions employed which can handle floating objects to study fluid–structure interaction. In addition, the model implementation is briefly described. This information will be used in Part 2, where the efficiency of the code is discussed, along with several study cases. Homepage: https://wiki.manchester.ac.uk/sphysics/index.php/Main_Page Related Software: DualSPHysics; CUDA; Matlab; PySPH; TREESPH; GADGET; OpenFOAM; JOSEPHINE; NDSPMHD; ANSYS; VTK; HDF5; Palabos; PELskin; ABAQUS; Oasis; OFF; Python; LUMA; Julia Cited in: 38 Publications Further Publications: https://wiki.manchester.ac.uk/sphysics/index.php/SPHYSICS_Publications all top 5 Cited by 110 Authors 3 Crespo, Alejandro J. C. 3 Domínguez, José Manuel 3 Vacondio, Renato 2 Chen, Guangqi 2 Gomez-Gesteira, Moncho 2 Green, Mashy D. 2 Peiró, Joaquim 2 Rogers, Benedict D. 2 Wang, Wei 2 Zhang, Hong 1 Amaro, Rubens A. Junior 1 Bauer, Hans-Jörg 1 Biermann, Dirk 1 Bøckmann, Arne 1 Braun, Samuel 1 Buruchenko, Sergei K. 1 Canelas, R. 1 Chaussonnet, Geoffroy 1 Chen, Shenghong 1 Cheng, Fai 1 Cheng, Liang-Yee 1 Cui, Jie 1 Cummins, Sharen J. 1 Dachsbacher, Carsten 1 Dang, Thai Son 1 Danis, Mustafa E. 1 Dao, My Ha 1 Dauch, T. F. 1 de Figueiredo, Luiz Henrique 1 De Marchis, Mauro 1 Djidjeli, K. 1 Eberhard, Peter 1 Ecder, Ali 1 Esmaili Sikarudi, M. A. 1 Fan, Fu-song 1 Farzin, Saeed 1 Fatehi, Rouhollah 1 García-Feal, O. 1 Ghazanfarian, Jafar 1 Ghoneim, Adam Yehudi 1 Gianguzzi, Chiara 1 Gudžulić, Vladislav 1 Härdi, Simon 1 Hassanzadeh, Yousef 1 He, Lisha 1 Iryanto 1 Janoske, Uwe 1 Jin, Yee-Chung 1 Kaden, J. 1 Keller, M. C. 1 Koch, Rainer 1 Li, Shaowu 1 Li, Xu 1 Liu, Shuguang 1 Longshaw, S. M. 1 Lou, Jing 1 Marongiu, Jean-Christophe 1 Meschke, Günther 1 Milici, Barbara 1 Minier, Jean-Pierre 1 Monteleone, Alessandra 1 Moradi, Mahshid 1 Muta, Abhinav 1 Napoli, Enrico 1 Nikseresht, Amir Hossein 1 Omidvar, Pourya 1 Orhan, Mehmet 1 Özkaya, Ekrem 1 Paiva, Afonso 1 Pan, Wenxiao 1 Pozorski, Jacek 1 Pudjaprasetya, Sri Redjeki 1 Rafiee, Ashkan 1 Ramachandran, Prabhu 1 Rapp, T. 1 Rudman, Murray 1 Sakai, Mikio 1 Sandim, Marcos 1 Schlurmann, Torsten 1 Schnabel, Dirk 1 Schreiner, Michael 1 Seaïd, Mohammed 1 Shao, Sihong 1 Shi, Yang 1 Shipilova, Olga 1 Skeie, Geir 1 Song, Peng 1 Sriram, V. 1 Stansby, Peter K. 1 Sun, Pengnan 1 Sun, Xiaosong 1 Sun, Zhe 1 Szewc, Kamil 1 Tafuni, A. 1 Tan, Hai 1 Tartakovsky, Alexandre M. 1 Thiagarajan, Krish P. 1 Trask, Nathaniel A. 1 Wei, Jiahua 1 Wu, Yanqiang ...and 10 more Authors all top 5 Cited in 18 Serials 7 Computers and Fluids 6 Computer Methods in Applied Mechanics and Engineering 6 Engineering Analysis with Boundary Elements 3 Journal of Computational Physics 2 Computer Physics Communications 2 International Journal for Numerical Methods in Fluids 1 Acta Mechanica 1 International Journal for Numerical Methods in Engineering 1 Computational Mechanics 1 Applied Mathematical Modelling 1 Mathematical Problems in Engineering 1 International Journal of Computational Fluid Dynamics 1 European Journal of Mechanics. B. Fluids 1 Computational Geosciences 1 International Journal of Computational Methods 1 Communications in Computational Physics 1 Algorithms 1 East Asian Journal on Applied Mathematics all top 5 Cited in 8 Fields 35 Fluid mechanics (76-XX) 20 Numerical analysis (65-XX) 6 Mechanics of deformable solids (74-XX) 3 Geophysics (86-XX) 2 Partial differential equations (35-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) Citations by Year