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# OpenScience / Software / Mathematics / Differential Equations

## Sorted by Rating

## FEniCS

FEniCS is free software for the Automation of Computational Mathematical Modeling (ACMM). Find FEniCS at: http://www.fenics.org

Posted in Partial
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## OpenLB

The OpenLB project provides a C++ package for the implementation of lattice Boltzmann simulations that is general enough to address a vast range of problems in computational fluid dynamics. The package is mainly intended as a programming support for researchers … Continue reading

Posted in Fluid Dynamics
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## Gerris

Gerris is for solving problems involving incompressible flow (time-dependent incompressible variable-density Euler, Stokes or Navier-Stokes equations). It uses an adaptive mesh refinement to allow for flows around complex geometries. Find Gerris at: http://gfs.sourceforge.net

Posted in Fluid Dynamics
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## OpenFOAM

The OpenFOAM (Field Operation and Manipulation) software package can simulate anything from complex fluid flows involving chemical reactions, turbulence and heat transfer, to solid dynamics, electromagnetics and the pricing of financial options. Find OpenFOAM at: http://www.openfoam.org

Posted in Fluid Dynamics
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## freeFEM3D

freeFEM3D is a 3D version of freeFEM. It is a 3D finite element PDE solver. It does not use standard FEM approximation but is based on fictitious domain method. The main reason for this is the absence of free 3D … Continue reading

Posted in Partial
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## OpenFlower – Open Source CFD Software

OpenFlower (FLOW solvER) is a C++ open source CFD code mainly intended to solve the turbulent incompressible Navier-Stokes equations with a LES approach. It can deal with arbitrary complex 3D geometries with its finite volume approach (multi-elements meshes are accepeted). … Continue reading

Posted in Computational, Fluid, Fluid Dynamics
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## SunlightLB

SunlightLB is an open-source 3D lattice Boltzmann code. It implements a standard lattice Boltzmann algorithm for three dimensional simulations, using a D3Q19 lattice with a twin relaxation time scheme. Objects, possibly moving, are included by a link bounce-back method. This … Continue reading

Posted in Fluid Dynamics
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## freeFem++

FreeFem++ is an implementation of a language dedicated to the finite element method. It provides you a way to solve Partial Differential Equations (PDE) simply. Problems involving partial differential equations (pde) of several branches of physics such as fluid-structure interactions … Continue reading

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## pbd

pbd is an ODE solution package, written in C, and based on the PBD method of van Bokhoven (IEEE Trans. on Circuits and Systems, v CAS-22, no 2, Feb. 1975, pp109-115). pbd provides a callable function, pbd(), which is intended … Continue reading

Posted in Ordinary
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## XmdS

xmds – the eXtensible Multi-Dimensional Simulator – is a program for solving equations – fast. It is a tool to simplify the computer modelling of various systems, and is currently being developed within the Australian Centre for Quantum-Atom Optics at … Continue reading

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