The library also includes the usual tools for finite elements such as assembly procedures for classical PDEs, interpolation methods, computation of norms, mesh operations, boundary conditions, post-processing tools such as extraction of slices from a mesh …. Examples are provided see the screenshot section. A particular method allows to interpolate a finite element method on an arbitrary mesh allowing any assembly procedure to work with two different meshes.
This is usefull for some mixed finite element methods and for mortar methods with non-matching meshes. The model is general in the sense that it can be applied to various systems, scales and specifications. The model includes for example flooding and drying of tidal flats, flexible vertical and horizontal coordinate systems, different turbulence models integrated from GOTM , and is a Public Domain model published under GNU Public Licence.
Its primal design goal is to provide a simple meshing tool for academic test cases with parametric input and up to date visualization capabilities. One of its strengths is the ability to respect a characteristic length field for the generation of adapted meshes on lines, surfaces and volumes, and to mix these meshes with simple structured grids. Make gets its knowledge of how to build your program from a file called the makefile, which lists each of the non-source files and how to compute it from other files.
When you write a program, you should write a makefile for it, so that it is possible to use Make to build and install the program. The library provides a wide range of mathematical routines such as random number generators, special functions and least-squares fitting. There are over functions in total. Unlike the licenses of proprietary numerical libraries the license of GSL does not restrict scientific cooperation. It allows you to share your programs freely with others. It is an Open Source Free Software Library intended to provide a set of useful functions to deal with 3D surfaces meshed with interconnected triangles.
Careful attention is paid to performance related issues as the initial goal of GTS is to provide a simple and efficient library to scientists dealing with 3D computational surface meshes. It is a one-dimensional water column model for the most important hydrodynamic and thermodynamic processes related to vertical mixing in natural waters. In addition, it has been designed such that it can easily be coupled to 3-D circulation models, and used as a module for the computation of vertical turbulent mixing. The core of the model computes solutions for the one-dimensional versions of the transport equations of momentum, salt and heat.
The key component in solving these equations is the model for the turbulent fluxes of these quantities. The strength of GOTM is the vast number of well-tested turbulence models that have been implemented in the code. These models span the range from simple prescribed expressions for the turbulent diffusivities up to complex Reynolds-stress models with several differential transport equations to solve. Even though, evidently, not all turbulence models published in oceanography could be implemented, at least one member of every relevant model family can be found in GOTM: The goal of the GRUMMP project is to develop automatic mesh generation software for unstructured meshes with mixed element types.
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The software should produce high-quality meshes that meet user-defined mesh density requirements, using elements appropriate for the geometry and physics of a particular problem. Automatic mesh generation for complex two and three dimensional domains is a topic of intensive research. It is imperative that automatic mesh generation tools be capable of generating quality finite element and finite volume meshes. There must be a balance between resolution of the boundary and surface features and complexity of the problem.
In addition, for problems with isotropic physics, element aspect ratio must be small to minimize linear system condition number and interpolation error. On the other hand, problems with anisotropic physics for example, a shear layer in viscous fluid flow require highly anisotropic elements for efficient solution. A further level of complication is that for some physical problems and applications, quadrilateral 2D or hexahedral 3D elements are preferred, even though filling space with high quality elements is easier using triangular 2D or tetrahedral 3D elements.
A general-purpose automatic mesh generator should address all of these issues without excessive user intervention. We envision a system in which common types of physical problems have predefined mesh sizing and element aspect ratio functions, allowing easy generation of meshes for these applications areas. For flexibility and generality, the user will also be able to prescribe these functions for totally different applications or modify the predefined behaviors to provide a quality mesh in the wake of an airplane wing, for example.
GRUMMP addresses these issues by implementing mesh manipulation primitives to generate or modify existing meshes so that criteria for element size and quality are met. In addition, automatic computation of local length scale is performed to provide a default in cases where solution-based adaptive length scales are not available.
The HDF project involves the development and support of software and file formats for scientific data management. These formats are completely different and NOT compatible. There are no plans to drop support for HDF 4. The primary software product is hypre, a library of high performance preconditioners that features parallel multigrid methods for both structured and unstructured grid problems.
The problems of interest arise in the simulation codes being developed at LLNL and elsewhere to study physical phenomena in the defense, environmental, energy, and biological sciences. Reference Manual. It can be used in Matlab: The IGES format serves as a neutral data format to transfer the design to a dissimilar system. The algorithms are fully templated in that the same source code works for dense, sparse, and distributed matrices.
Some of the numerical methods are presented in the book, Templates: Building Blocks for the Solution of Iterative Systems and include. They usually involve large deformations and high velocities. Simulations are made on a virtual three dimensional model which can be created with a pre-processor or with the built-in Fembic language. Results are viewed in a post-processor. Impact is designed to interface with the included pre- and postprocessor by default, but there are also interfaces available for more advanced pre-and postprocessors such as GiD or Gmsh.
Impact also has rudamentary support for Nastran file format. Development is made by a team of volunteers from all over the world with the aim of creating a clean and compact program which is simple to understand and use. Impact is licensed under the Gnu Public License which makes it free to use and modify as long as you release and publish your improvements under the same license.
Impact is written in Java which means it can be run on most hardware and operating systems. ISAAC uses a domain decomposition structure to accomodate complex physical configurations. ISAAC can calculate either steady-state or time dependent flow. Various two equation turbulence models, explicit algebraic Reynolds stress models, and full differential Reynolds stress models are implemented in ISAAC. NSPCG has preconditioners and polynomial accelerators for nonsymmetric matrix problems as well. Machine-dependent constants and the timing function may need to be modified by the user when installing the packages for a particular computer.
The associated matrix factorizations LU, Cholesky, QR, SVD, Schur, generalized Schur are also provided, as are related computations such as reordering of the Schur factorizations and estimating condition numbers. Dense and banded matrices are handled, but not general sparse matrices. In all areas, similar functionality is provided for real and complex matrices, in both single and double precision. For instance, see Atlas. LaTeX is the de facto standard for the communication and publication of scientific documents.
It is platform- and format-independent and works together with the most important TeX backend drivers, including pdftex and dvips. It comes with a user-friedly syntax layer called TikZ.
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By default, LaTeX will number equations consecutively, as 1 , 2 , etc. If the paper is very short, or if there are only a few numbered equations, this is fine, but once the numbers get into the twenties and higher, a scheme that numbers equations by section, as in 1. In fact, for the vast majority of journal articles, the latter is probably the best numbering scheme. To get equations numbered by section, just put the following into the preamble: For books, theses, or very long papers, an equation numbering scheme that is three levels deep with numbers like 4.
The same mechanism works for other counters, e. On machines where the epstopdf external command is not available to LaTeX, one can also convert eps figures to pdf with:. Development began in March with the intent of providing a friendly interface to a number of high-quality software packages that are currently available. Currently the library supports 2D and 3D steady and transient finite element simulations.
PETSc is currently used for the solution of linear systems on both serial and parallel platforms, and LASPack is included with the library to provide linear solver support on serial machines. Many thanks to SourceForge for hosting the project. You can find out what is currently happening in the development branch by checking out the CVS Logs online. A major goal of the library is to provide support for adaptive mesh refinement AMR computations in parallel while allowing a research scientist to focus on the physics they are modeling.
Libtool hides the complexity of using shared libraries behind a consistent, portable interface. To use libtool, add the new generic library building commands to your Makefile, Makefile. See the documentation for details. Et une autre liste en anglais: Alain Perronnet http: Il faut donc ajouter -singleCompThread dans le fichier. Par exemple:.
Voici aussi un exemple de script qsub:. I do not describe the commercial Matlab software here but its file formats, because these are understood by many other programs. They can be created on one machine and later read by MATLAB on another machine with a different floating-point format, retaining as much accuracy and range as the different formats allow. In particular, the objective has been to define a minimal base ASCII file format which can be very easily explained and parsed, but can easily adapted to applications with a more rigid structure, or extended to related data objects.
The MM exchange format for matrices is really a collection of affiliated formats which share design elements. In our initial specification, two matrix formats are defined. Maxima produces high precision results by using exact fractions and arbitrarily long floating point representations, and can plot functions and data in two and three dimensions.
The source code for all systems and precompiled binaries for Windows and Linux are available at the SourceForge file manager. Maxima is a descendant of Macsyma, the legendary computer algebra system developed in the late s at the Massachusetts Institute of Technology. It is the only system based on that effort still publicly available and with an active user community, thanks to its open source nature.
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Macsyma was revolutionary in its day, and many later systems, such as Maple and Mathematica, were inspired by it. It provides a GUI written using Tkinter. MayaVi is free and distributed under the conditions of the BSD license. The underlying algorithms used by METIS are based on the state-of-the-art multilevel paradigm that has been shown to produce high quality results and scale to very large problems. It may be used to solve linear systems, to estimate the condition number or the norm of a matrix, to compute determinants, to multiply a matrix by a vector, to invert a matrix, to solve least squares problems, to perform unconstrained minimization, to compute eigenvalues, eigenvectors, the singular value decomposition, or the QR decomposition.
The package has special routines for general, band, symmetric, indefinite, tridiagonal, upper Hessenberg, and circulant matrices. The operators are primarily designed to aid manipulation and analysis of gridded scientific data. The single command style of NCO allows users to manipulate and analyze files interactively and with simple scripts, avoiding the overhead and some of the power of a higher level programming environment. The operators are as general as NetCDF itself: The internal routines of NCO are completely dynamic which means that NCO imposes no limit on the number of dimensions, sizes of variables, files etc.
NCO is designed to be used both interactively and with large batch jobs. There are plenty of command line i. Netgen is open source based on the LGPL license.
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Version 1. NGSolve performs adaptive mesh refinement, the matrix equations are solved by optimal order multigrid methods. Older libraries corresponding to previous designs are also included for archival and historical purposes. Il faut utiliser les commandes kill ou killall. It provides a convenient command line interface for solving linear and nonlinear problems numerically, and for performing other numerical experiments using a language that is mostly compatible with Matlab.
It may also be used as a batch-oriented language. Octave has extensive tools for solving common numerical linear algebra problems, finding the roots of nonlinear equations, integrating ordinary functions, manipulating polynomials, and integrating ordinary differential and differential-algebraic equations. Its main features are: The package contains in addition: It supports ASCII text versions of objects for the purpose of interchange, and binary versions for efficiency of reading and writing.
The aim of this project is to develop efficient and robust tool for FEM computations as well as to provide modular and extensible environment for future development. The license allows you to freely create, distribute, and develop visualization solutions as you see fit. OpenDX is a uniquely powerful, full-featured software package for the visualization of scientific, engineering and analytical data: Its open system design is built on a standard interface environments.
And its sophisticated data model provides users with great flexibility in creating visualizations. With OpenDX, you can create the visualizations you want to create. OpenDX has been designed to be the place where the art of science and the science of visualization come together. It has advanced joint types and integrated collision detection with friction. ODE is useful for simulating vehicles, objects in virtual reality environments and virtual creatures. It is currently used in many computer games, 3D authoring tools and simulation tools.
It is available for both Matlab and Scilab. External contributions are strongly encouraged for the forthcoming versions in order to enlarge and improve the toolbox. These are used to build a wealth of: OpenFOAM is supplied with numerous pre-configured solvers, utilities and libraries and so can be used like any typical simulation package. However, it is open, not only in terms of source code, but also in its structure and hierarchical design, so that its solvers, utilities and libraries are fully extensible.
The fluid flow solvers are developed within a robust, implicit, pressure-velocity, iterative solution framework, although alternative techniques are applied to other continuum mechanics solvers. The goals of the ParaView project include the following: ParaView runs on distributed and shared memory parallel as well as single processor systems and has been succesfully tested on Windows, Linux and various Unix workstations and clusters. See also http: PARI is also available as a C library to allow for faster computations.
It is based on a preconditioned Krylov subspace approach, using a domain decomposition viewpoint. It offers a large selection of preconditioners for distributed sparse linear systems and a few of the best known accelerators. The basic methodology used relies on a Recursive Multi-level ILU factorization wich allows to develop many of the standard domain-decomposition type iterative solvers in a single framework. For example, the standard Schwarz procedures are included as are a number of Schur complement techniques.
Il existe une version pour Windows. Voici par exemple un fichier dont le nom contient une valeur de vitesse. PETSc includes nonlinear and linear equation solvers that employ a variety of Newton techniques and Krylov subspace methods. PETSc provides several parallel sparse matrix formats, including compressed row, block compressed row, and block diagonal storage. To make this task manageable in the arena of linear algebra algorithms, we have developed the Parallel Linear Algebra Package PLAPACK , an infrastructure for coding such algorithms at a high level of abstraction.
It is often believed that by raising the level of abstraction in this fashion, performance is sacrificed. Throughout, we have maintained that indeed there is a performance penalty, but that by coding at a higher level of abstraction, more sophisticated algorithms can be implemented, which allows high levels of performance to be regained.
In this paper, we show this to indeed be the case for the parallel solver package implemented using PLAPACK, which includes Cholesky, LU, and QR factorization based solvers for symmetric positive definite, general, and overdetermined systems of equations, respectively. Each plot comes with a simple but functional Graphical User Interface which allows users to zoom in or pan to areas of interest on the plot or to toggle between 2D and 3D plots. Tutorial at http: POOMA has been optimized to take full advantage of massively parallel machines. POOMA is available free of charge in order to facilitate its use in both industrial and research environments.
The source code is available for those wanting to do their own ports. Hightlights and Performance ,. These implementations differed substantially from each other making it difficult for programmers to develop portable threaded applications. Pthreads are defined as a set of C language programming types and procedure calls, implemented with a pthread.
It is important to be aware of the draft number of a given implementation, because there are differences between drafts that can cause problems. Voir aussi http: On linux-type systems, use nm. T shows defined symbols, U shows undefined ones. The source for the program is needed. First try to locate where this error appears. This is done by adding -g when compiling and running the code through gdb. If there is no programming error at the location where the error occurs, it can be the consequence of an earlier error memory errors may not be detected immediately.
If this is the case then valgrind may be able to detect where the first error occurred:. Les fichiers maillage. For more information on how to specify a periodic boundary condition, see the fespace keyword. Returning a vector as the value of a function may sometimes pose problems. If the case arises, just tranform the return value into a function parameter. Voir aussi How to copy a sparse matrix into a dense matrix? Chubar, P.
Elleaume, J. This environment is currently under development. RLaB is an interactive, interpreted scientific programming environment. RLaB is a very high level language intended to provide fast prototyping and program development, as well as easy data-visualization, and processing. RLaB does not try to be a Matlab clone. Instead, it borrows what I believe are the best features of the Matlab language and provides improved language syntax and semantics. The syntax has been improved to allow users more expression and reduce ambiguities. The variable scoping rules have been improved to facilitate creation of larger programs and program libraries.
A heterogeneous associative array has been added to allow users to create and operate on arbitrary data structures. The fundamental data type is a floating point matrix either real or complex , though RLaB also includes string matrices, and sparse numerical matrices both real and complex.
Project rlabplus is a continuation of work on an open-source scripting environment for scientific computations RLaB2. Project rlabplus provides release 2 of RLaB2, which contains upgrades of the numerical libraries used in the first release, and many new libraries and toolkits, e. Rlabplus is a creation of Marijan Kostrun. It combines the power of many existing open-source packages into a common Python -based interface. Creating a viable free open source alternative to Magma, Maple, Mathematica and Matlab.
It is based on an open and flexible architecture made of reusable components available as free software. It is open-source LGPL , and you can download both the sourcecode and the executables from this site. It is currently written in a Single-Program-Multiple-Data style using explicit message passing for interprocessor communication. It assumes matrices are laid out in a two-dimensional block cyclic decomposition. For such machines, the memory hierarchy includes the off-processor memory of other processors, in addition to the hierarchy of registers, cache, and local memory on each processor.
Distributed freely via the Internet since , Scilab is currently being used in educational and industrial environnments around the world. Scilab includes hundreds of mathematical functions with the possibility to add interactively programs from various languages C , Fortran …. It has sophisticated data structures including lists, polynomials, rational functions, linear systems… , an interpreter and a high level programming language. Scilab has been conceived to be an open system where the user can define new data types and operations on these data types by using overloading.
Control-A d. It can be used for the solution of problems formulated in either standard or generalized form, as well as other related problems such as the singular value decomposition. The emphasis of the software is on methods and techniques appropriate for problems in which the associated matrices are sparse, for example, those arising after the discretization of partial differential equations. Therefore, most of the methods offered by the library are projection methods or other methods with similar properties. Examples of these methods are Arnoldi, Lanczos and Subspace Iteration, to name a few.
SLEPc implements these basic methods as well as more sophisticated algorithms. It also provides built-in support for spectral transformations such as the shift-and-invert technique. SLEPc is a general library in the sense that it covers standard and generalized eigenvalue problems, both Hermitian and non-Hermitian, with either real or complex arithmetic. It can be considered an extension of PETSc providing all the functionality necessary for the solution of eigenvalue problems.
It is a package of scientific software and graphical user interfaces for use in computational fluid dynamics. It is a package of scientific software and graphical user interfaces for use in finite element analysis. Besides being able to solve linear systems, it solves transposed systems, finds determinants, and estimates errors due to ill-conditioning in the system of equations and instability in the computations. SPARSE does not require symmetry and is able to perform numerical pivoting either diagonal or complete to avoid unnecessary error in the solution.
It was originally written for use in circuit simulators and is particularly apt at handling node- and modified-node admittance matrices. The software package consists of matrix classes encompassing several sparse storage formats e. Included in the package are various preconditioners commonly used in iterative solvers for linear systems of equations. At present, there is the following functionality: It is a list of the triangular surfaces that describe a computer generated solid model.
This is the standard input for most rapid prototyping machines. The library is written in C and is callable from either C or Fortran. The library routines will perform an LU decomposition with partial pivoting and triangular system solves through forward and back substitution. The LU factorization routines can handle non-square matrices but the triangular solves are performed only for square matrices.
The matrix columns may be preordered before factorization either through library or user supplied routines. This preordering for sparsity is completely separate from the factorization. Working precision iterative refinement subroutines are provided for improved backward stability.
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Routines are also provided to equilibrate the system, estimate the condition number, calculate the relative backward error, and estimate error bounds for the refined solutions. The algorithms used in TetGen are of Delaunay type. For a three-dimensional domain, defined by its boundary such as a surface mesh , TetGen generates the boundary constrained Delaunay tetrahedralization, conforming Delaunay tetrahedralization, and quality Delaunay mesh. For a three-dimensional point set, the Delaunay tetrahedralization and convex hull are generated.
It can be compiled into an executable program or a library for integrating into other applications. All major operating systems, e. Triangle generates exact Delaunay triangulations, constrained Delaunay triangulations, conforming Delaunay triangulations, Voronoi diagrams, and high-quality triangular meshes. The latter can be generated with no small or large angles, and are thus suitable for finite element analysis. It emphasizes abstract interfaces for maximum flexibility of component interchanging, and provides a full-featured set of concrete classes that implement all abstract interfaces.
It is structured as a multi-solver platform where it could be easily added a new solver. For now, it provides a finite volume solver for compressible inviscid equations and a finite volume solver for heat transfer. The design and implementation unify mathematical notation via operator overloading and efficient code generation via expression templates. Views into vectors and matrices can be constructed via ranges or slices and adaptor classes.
The library covers the usual basic linear algebra operations on vectors and matrices: The glue between containers, views and expression templated operations is a mostly STL conforming iterator interface. It uses dynamic memory allocation, and has a symbolic preordering and analysis phase that also reports the upper bounds on the nonzeros in L and U, flop count, and memory usage in the numeric phase. It can be used for real and complex matrices, rectangular and square, and both non-singular and singular. Users can quickly generate visualizations from their data, animate them through time, manipulate them, and save the resulting images for presentations.
VisIt contains a rich set of visualization features so that you can view your data in a variety of ways. It can be used to visualize scalar and vector fields defined on two- and three-dimensional 2D and 3D structured and unstructured meshes. VisIt was designed to handle very large data set sizes in the terascale range and yet can also handle small data sets in the kilobyte range. Note pour Windows: VRML is designed to be used on the Internet, intranets, and local client systems.
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VRML is also intended to be a universal interchange format for integrated 3D graphics and multimedia. VRML may be used in a variety of application areas such as engineering and scientific visualization, multimedia presentations, entertainment and educational titles, web pages, and shared virtual worlds.
VTK supports a wide variety of visualization algorithms including scalar, vector, tensor, texture, and volumetric methods; and advanced modeling techniques such as implicit modelling, polygon reduction, mesh smoothing, cutting, contouring, and Delaunay triangulation. The design and implementation of the library has been strongly influenced by object-oriented principles.
It is possible to assign materials, vertex color, UV coordinates and textures, but there will be improvements in those features before Wings goes 1. Plus d'informations ici: Ce site utilise des cookies et autres technologies similaires. Comment utilisons-nous les cookies? Gestion des cookies dans votre navigateur La plupart des navigateurs vous permettent: Accueil Articles Internet - Web 2.
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