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SU2 Code
SU2 is a suite of open-source software tools written in C++ for the numerical solution of partial differential equations (PDE) and performing PDE-constrained optimization. The primary applications are computational fluid dynamics and aerodynamic shape optimization, but has been extended to treat more general equations such as electrodynamics and chemically reacting flows. SU2 supports continuous and discrete adjoint for calculating the sensitivities/gradients of a scalar field. Developers SU2 is being developed by individuals and organized teams around the world. The SU2 Lead Developers are: Dr. Francisco Palacios and Dr. Thomas D. Economon. The most active groups developing SU2 are: * Prof. Juan J. Alonso's group at Stanford University. * Prof. Piero Colonna's group at Delft University of Technology. * Prof. Nicolas R. Gauger's group at Kaiserslautern University of Technology. * Prof. Alberto Guardone's group at Polytechnic University of Milan. * Prof. Rafael Palacios' group a ...
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Python (programming Language)
Python is a high-level, general-purpose programming language. Its design philosophy emphasizes code readability with the use of significant indentation. Python is dynamically-typed and garbage-collected. It supports multiple programming paradigms, including structured (particularly procedural), object-oriented and functional programming. It is often described as a "batteries included" language due to its comprehensive standard library. Guido van Rossum began working on Python in the late 1980s as a successor to the ABC programming language and first released it in 1991 as Python 0.9.0. Python 2.0 was released in 2000 and introduced new features such as list comprehensions, cycle-detecting garbage collection, reference counting, and Unicode support. Python 3.0, released in 2008, was a major revision that is not completely backward-compatible with earlier versions. Python 2 was discontinued with version 2.7.18 in 2020. Python consistently ranks as ...
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Polytechnic University Of Milan
The Polytechnic University of Milan () is the largest technical university in Italy, with about 42,000 students. The university offers undergraduate, graduate and higher education courses in engineering, architecture and design. Founded in 1863, it is the oldest university in Milan. The Polytechnic University of Milan has two main campuses in the city of Milan, Italy, where the majority of the research and teaching activities are located, as well as other satellite campuses in five other cities across the Lombardy and Emilia-Romagna regions. The central offices and headquarters are located in the historical campus of Città Studi in Milan, which is also the largest, active since 1927. According to the QS World University Rankings for the subject area 'Engineering & Technology', it ranked in 2022 as the 13th best in the world. It ranked 6th worldwide for Design, 9th for Civil and Structural Engineering, 9th for Mechanical, Aerospace Engineering and 7th for Architecture. Its no ...
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OpenFOAM
OpenFOAM (for "Open-source Field Operation And Manipulation") is a C++ toolbox for the development of customized numerical solvers, and pre-/post-processing utilities for the solution of continuum mechanics problems, most prominently including computational fluid dynamics (CFD). The OpenFOAM software is used in research organisations, academic institutes and across many types of industries, for example, automotive, manufacturing, process engineering and environmental engineering. OpenFOAM is open-source software which is freely available and licensed under the GNU General Public License Version 3, with the following variants: # OpenFOAM, released by OpenCFD Ltd. (with the name trademarked since 2007) first released as open-source in 2004. (Note: since 2012, OpenCFD Ltd is wholly-owned subsidiary of ESI Group) # FOAM-Extend, released by Wikki Ltd. (since 2009) # OpenFOAM, released by OpenFOAM Foundation. (since 2011) History The name FOAM has been claimed to appear for t ...
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Gerris (software)
Gerris is computer software in the field of computational fluid dynamics (CFD). Gerris was released as free and open-source software, subject to the requirements of the GNU General Public License (GPL), version 2 or any later. Scope ''Gerris'' solves the Navier–Stokes equations in 2 or 3 dimensions, allowing to model industrial fluids (aerodynamics, internal flows, etc.) or for instance, the mechanics of droplets, thanks to an accurate formulation of multiphase flows (including surface tension). Actually, the latter field of study is the reason why the software shares the same name as the insect genus. ''Gerris'' also provides features relevant to geophysical flows: # ocean tide # tsunamis # river flow # eddies in the ocean # sea state (surface waves) Flow types #1 to #3 were studied using the shallow-water solver included in ''Gerris'', case #4 brings in the primitives equations and application #5 relies on the ''spectral'' equations for generation/propagation/dissipatio ...
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FreeFem++
FreeFem++ is a programming language and a software focused on solving partial differential equations using the finite element method. FreeFem++ is written in C++ and developed and maintained by Université Pierre et Marie Curie and Laboratoire Jacques-Louis Lions. It runs on Linux, Solaris, macOS and Microsoft Windows systems. FreeFem++ is free software (LGPL). FreeFem++ language is inspired by C++. There is an IDE called FreeFem++-cs. History The first version was created in 1987 by Olivier Pironneau and was named MacFem (it only worked on Macintosh); PCFem appeared some time later. Both were written in Pascal. In 1992 it was re-written in C++ and named FreeFem. Later versions, FreeFem+ (1996) and FreeFem++ (1998), used that programming language too. Other versions * FreeFem++ includes versions for console mode and MPI * FreeFem3D Deprecated versions: * FreeFem+ * FreeFem See also * List of finite element software packages This is a list of notable software packa ...
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Code Saturne
code_saturne is a general-purpose computational fluid dynamics free computer software package. Developed since 1997 at Électricité de France R&D, code_saturne is distributed under the GNU GPL licence. It is based on a co-located finite-volume approach that accepts meshes with any type of cell (tetrahedral, hexahedral, prismatic, pyramidal, polyhedral...) and any type of grid structure (unstructured, block structured, hybrid, conforming or with hanging nodes...). Its basic capabilities enable the handling of either incompressible or expandable flows with or without heat transfer and turbulence (mixing length, 2-equation models, v2f, Reynolds stress models, Large eddy simulation...). Dedicated modules are available for specific physics such as radiative heat transfer, combustion (gas, coal, heavy fuel oil, ...), magneto-hydro dynamics, compressible flows, two-phase flows ( Euler-Lagrange approach with two-way coupling), extensions to specific applications (e.g. for atmospheric en ...
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Advanced Simulation Library
Advanced Simulation Library (ASL) is free and open-source hardware-accelerated multiphysics simulation platform. It enables users to write customized numerical solvers in C++ and deploy them on a variety of massively parallel architectures, ranging from inexpensive FPGAs, DSPs and GPUs up to heterogeneous clusters and supercomputers. Its internal computational engine is written in OpenCL and utilizes matrix-free solution techniques. ASL implements variety of modern numerical methods, i.a. level-set method, lattice Boltzmann, immersed Boundary. Mesh-free, immersed boundary approach allows users to move from CAD directly to simulation, reducing pre-processing efforts and number of potential errors. ASL can be used to model various coupled physical and chemical phenomena, especially in the field of computational fluid dynamics. It is distributed under the free GNU Affero General Public License with an optional commercial license (which is based on the permissive MIT License) ...
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GNU General Public License
The GNU General Public License (GNU GPL or simply GPL) is a series of widely used free software licenses that guarantee end users the Four Freedoms (Free software), four freedoms to run, study, share, and modify the software. The license was the first copyleft for general use and was originally written by the founder of the Free Software Foundation (FSF), Richard Stallman, for the GNU Project. The license grants the recipients of a computer program the rights of the Free Software Definition. These GPL series are all copyleft licenses, which means that any derivative work must be distributed under the same or equivalent license terms. It is more restrictive than the GNU Lesser General Public License, Lesser General Public License and even further distinct from the more widely used permissive software licenses BSD licenses, BSD, MIT License, MIT, and Apache License, Apache. Historically, the GPL license family has been one of the most popular software licenses in the free and open ...
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FEATool Multiphysics
FEATool Multiphysics ("Finite Element Analysis Toolbox for Multiphysics") is a physics, finite element analysis (FEA), and PDE simulation toolbox. FEATool Multiphysics features the ability to model fully coupled heat transfer, fluid dynamics, chemical engineering, structural mechanics, fluid-structure interaction (FSI), electromagnetics, as well as user-defined and custom PDE problems in 1D, 2D (axisymmetry), or 3D, all within a graphical user interface (GUI) or optionally as script files. FEATool has been employed and used in academic research, teaching, and industrial engineering simulation contexts. Distinguishing features FEATool Multiphysics is a fully integrated physics and PDE simulation environment where the modeling process is subdivided into six steps; preprocessing (CAD and geometry modeling), mesh and grid generation, physics and PDE specification, boundary condition specification, solution, and postprocessing and visualization. Easy to use GUI The FEATool graph ...
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Reynolds-averaged Navier–Stokes Equations
The Reynolds-averaged Navier–Stokes equations (RANS equations) are time-averaged equations of motion for fluid flow. The idea behind the equations is Reynolds decomposition, whereby an instantaneous quantity is decomposed into its time-averaged and fluctuating quantities, an idea first proposed by Osborne Reynolds. The RANS equations are primarily used to describe turbulent flows. These equations can be used with approximations based on knowledge of the properties of flow turbulence to give approximate time-averaged solutions to the Navier–Stokes equations. For a stationary flow of an incompressible Newtonian fluid, these equations can be written in Einstein notation in Cartesian coordinates as: \rho\bar_j \frac = \rho \bar_i + \frac \left - \bar\delta_ + \mu \left( \frac + \frac \right) - \rho \overline \right The left hand side of this equation represents the change in mean momentum of a fluid element owing to the unsteadiness in the mean flow and the convection by the ...
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