model starting from Navier-Stokes equations Software Algodoo is a 2D simulation framework for education using SPH AQUAgpusph is the free (GPLv3) SPH of the researchers, by the researchers, for the researchers dive solutions is a commercial web-based SPH engineering software for CFD purposes DualSPHysics is a mostly open source SPH code based on SPHysics and using GPU computing. The open source components are available under the LGPL. FLUIDS v.1 is a simple, open source (Zlib), real-time 3D SPH implementation in C++ for liquids for CPU and GPU. Fluidix is a GPU-based particle simulation API available from OneZero Software GADGET is a freely available (GPL) code for cosmological N-body/SPH simulations GPUSPH SPH simulator with viscosity (GPLv3) Pasimodo is a program package for particle-based simulation methods, e.g. SPH LAMMPS is a massively parallel, open-source classical molecular dynamics code that can perform SPH simulations Physics Abstraction Layer is an open source abstraction system that supports real time physics engines with SPH support PreonLab is a commercial engineering software developed by FIFTY2 Technology implementing an implicit SPH method Punto is a freely available visualisation tool for particle simulations pysph Open Source Framework for Smoothed Particle Hydrodynamics in Python (New BSD License) Py-SPHViewer Open Source python visualisation tool for Smoothed Particle Hydrodynamics simulations. RealFlow Commercial SPH solver for the cinema industry. RheoCube is a commercial SaaS product by Electric Ant Lab that couples mesoscopic SPH models with microscale MD simulations. SimPARTIX is a commercial simulation package for SPH and Discrete element method (DEM) simulations from Fraunhofer IWM SPH-flow SPHERA SPHinXsys is an open source multi-physics, multi-resolution SPH library. It provides C++ APIs for physical accurate simulation and aims to model coupled industrial dynamic systems including fluid, solid, multi-body dynamics and beyond. SPHysics is an open source SPH implementation in Fortran SPLASH is an open source (GPL) visualisation tool for SPH simulations SYMPLER: A freeware SYMbolic ParticLE simulatoR from the University of Freiburg. Nauticle is a general-purpose computational tool for particle-based numerical methods. NDYNAMICS is a commercial fluid simulation software based on implicit SPH developed by CENTROID LAB currently used for internal/external flooding/nuclear/chemical engineering applications. Numerical differential equations Computational fluid dynamics