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No auxiliary storage is required. A set of Schur basis vectors for the desired k-dimensional eigen-space is computed which is numerically orthogonal to working precision. Numerically accurate eigenvectors are available on request. Automake requires the use of GNU Autoconf.

Free means that neither the author nor any contributors make money out of this software. We need your yes your! If you use Ayam, please submit your pictures, bug reports, or feature requests. Misc: instancing, arbitrary number of modeling views, object clipboard, independent property clipboard, console, n-level undo. The first one can be used to compute the scalar bidirectional reflectance of a semi-infinite homogeneous slab composed of arbitrarily shaped, randomly oriented particles based on a rigorous numerical solution of the radiative transfer equation.

The second one can be used to compute the Stokes reflection matrix of a rough interface separating two homogeneous half-spaces with different refractive indices e. BILUM combines the benefits of generality and robustness of ILU preconditioning techniques with those of grid-independent convergence of multigrid methods. The multi-level algorithms implemented by BILUM are based on the block independent set ordering and multi-elimination techniques.

At each level, a block independent set is found by some greedy algorithms such that each block is decoupled with other blocks in the independent set.

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There is an inherited parallelism associated with this technique. The coefficient matrix is then re-ordered according to the independent set ordering and an approximate block ILU factorization is performed with a reduced system of smaller size. The multi-level structure is constructed by recursively applying the above idea to the approximate Schur complement the reduced system until the last reduced system is small enough to be solved by a direct method or a preconditioned iterative method.

Permission is granted for using the software for the purpose of examination. Users are not permitted to distribute the software. This software package comes with no warranty. You use it at your own risk. The length of time required to implement efficient distributed memory algorithms makes it impractical to rewrite programs for every new parallel machine. The BLACS exist in order to make linear algebra applications both easier to program and more portable.

The BLAS have to be optimized for each particular hardware architecture. It uses template techniques to achieve high performance. The current versions provide dense arrays and vectors, random number generators, and small vectors and matrices. Boost libraries are intended to be widely useful, and usable across a broad spectrum of applications.

The Boost license encourages both commercial and non-commercial use. More Boost libraries are proposed for the upcoming TR2. Follow the Getting Started Guide to download and install Boost. BRL-CAD includes an interactive geometry editor, parallel ray-tracing support for rendering and geometric analysis, path-tracing for realistic image synthesis, network distributed framebuffer support, image-processing and signal-processing tools.

It is already being used by a rapidly growing community of software developers in universities and in industry. It supports SPMD parallelism based on efficient one-sided communications. The core library excluding collective communications consists of just 20 primitives. The method used is the finite element method.

The solver is able to do linear and non-linear calculations. Static, dynamic and thermal solutions are available. Both programs can be used independently. Because the solver makes use of the abaqus input format it is possible to use commercial pre-processors as well. A vda CAD interface is available. The CalculiX package was developed by a team of enthusiasts in their raw spare time. Channelflow is not innovative as an algorithm. Rather, Channelflow uses relatively modern software design to improve the usability, flexibility, and intelligibility of a well-known algorithm.

The goals of Channelflow are. Cilk is designed for general-purpose parallel programming, but it is especially effective for exploiting dynamic, highly asynchronous parallelism, which can be difficult to write in data-parallel or message-passing style.

Using Cilk, our group has developed three world-class chess programs, StarTech, Socrates, and Cilkchess. Cilk provides an effective platform for programming dense and sparse numerical algorithms, such as matrix factorization and N-body simulations, and we are working on other types of applications. Unlike many other multithreaded programming systems, Cilk is algorithmic, in that the runtime system employs a scheduler that allows the performance of programs to be estimated accurately based on abstract complexity measures.

CMake is an open-source, cross-platform family of tools designed to build, test and package software. CMake is used to control the software compilation process using simple platform and compiler independent configuration files, and generate native makefiles and workspaces that can be used in the compiler environment of your choice. 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 Simulations….

Dedicated modules are available for specific physics such as radiative heat transfer, combustion gas, coal… , magneto-hydro dynamics, compressible flows, two-phase flows Euler-Lagrange approach with two-way coupling , extensions to specific applications e. Mais on peut aussi utiliser les commandes suivantes sous Linux ou MacOS :. Au laboratoire, CUDA est disponible sur gpu1 , gpu2 et tesla. The main aim of deal. II is to enable development of modern finite element algorithms, using among other aspects sophisticated error estimators and adaptive meshes.

Writing such programs is a non-trivial task, and successful programs tend to become very large and complex. We therefore believe that this is best done using a program library that frees the application programmer from aspects like grid handling and refinement, handling of degrees of freedom, input of meshes and output of results in graphics formats, and the like.

Also, support for several space dimensions at once is included in a way such that programs can be written independent of the space dimension without unreasonable penalties on run-time and memory consumption. The Eindhoven Region presents itself as Leading in technology and ranks in the top three most technological districts in Europe. The goal of dolfyn is to promote, introduce and teach the use of modern numerical simulation techniques in general and the use of Computational Fluid Dynamics CFD in particular.

The documentation is extracted directly from the sources, which makes it much easier to keep the documentation consistent with the source code. You can configure doxygen to extract the code structure from undocumented source files. This is very useful to quickly find your way in large source distributions. You can also visualize the relations between the various elements by means of include dependency graphs, inheritance diagrams, and collaboration diagrams, which are all generated automatically.

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Doxygen is developed under Linux, but is set-up to be highly portable. As a result, it runs on most other Unix flavors as well. It has been developed in collaboration with Finnish universities, research laboratories and industry.

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Elmer includes physical models of fluid dynamics, structural mechanics, electromagnetics and heat transfer. Elmer comprises of several different parts: The geometry, boundary conditions and physical models are defined in ElmerFront.

The resulting problem definition is solved by ElmerSolver. Finally the results are visualized by ElmerPost. Additionally a utility ElmerGrid may be used for simple mesh manipulation. The different parts of Elmer software may also be used independently. The strongest of the components is ElmerSolver which includes many sophisticated features. For pre- and postprosessing the users may find also other alternatives.

If this seems to be a bit of a mouthful, an easier explanation is Emacs is a text editor and more. Some of the features of GNU Emacs include:. The EMAP codes are relatively easy to learn to use and are distributed in source code form. The EMAP codes are not intended to compete with commercial finite element modeling codes.

They do not have a sophisticated mesh generator, graphical output, or unlimited technical support. Their primary strengths are ease-of-use, modest resource requirements, and accurate modeling of simple three-dimensional configurations over a wide range of frequencies. This powerful syntax allows you to substitute analytic functions in place of numeric values sin 60 instead of 0.

This feature makes it quite easy to specify a wide range of functions.

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The core curriculum of any first-rate undergraduate Computer Science department includes at least one course that focuses on the formal derivation and verification of algorithms 4. Yet, as the result of our search for superior methods for designing and constructing high-performance parallel linear algebra libraries, we have come to the conclusion that it is only through the systematic approach offered by formal methods that we will be able to deliver reliable, maintainable, flexible, yet highly efficient matrix libraries even in the relatively well-understood area of sequential and parallel dense linear algebra.

In this paper we attempt to make this case. However, during the mid-nineties, the Message-Passing Interface MPI introduced to the scientific computing community a programming model, object-based programming, that possesses many of the advantages typically associated with the intelligent use of an object-oriented language 6.

Using objects e. Our own work on the Parallel Linear Algebra Package PLAPACK borrowed from this approach in order to hide details of data distribution and data mapping in the realm of parallel linear algebra libraries 7. The primary concept also germane to this paper is that PLAPACK raises the level of abstraction at which one programs so that indexing is essentially removed from the code, allowing the routine to reflect the algorithm as it is naturally presented in a classroom setting. Since our initial work on PLAPACK , we have experimented with similar interfaces in such seemingly disparate contexts as parallel out-of-core linear algebra packages and a low-level implementation of the sequential BLAS 5.

FLAME is the latest step in the evolution of these systems. It facilitates the use of a programming style that is equally applicable to everything from out-of-core, parallel systems to single-processor systems where cache-management is of paramount concern. Over the last seven or eight years it has become apparent that what makes our task of library development more manageable is this systematic approach to deriving algorithms coupled with the abstractions we use to make our code reflect the algorithms thus produced.

Further, it is from these experiences that we can confidently state that this approach to programming greatly reduces the complexity of the resultant code and does not sacrifice high performance in order to do so. Indeed, it is exactly the formal techniques that we may have at one time dismissed as merely academic or impractical which make this possible, as FLAME illustrates.

Fortran is a powerful general-purpose programming language. Fortran 77 programs may not run as expected with recent fortran compilers, because variables are not initialized to zero by default anymore. In the case of gfortran , the old behaviour is obtained by adding -finit-local-zero to the compiling command.

Graphical programs that rely on Textronix terminal -type commands to draw pictures can use xterm -t to run under Linux. Problems involving partial differential equations pde of several branches of physics such as fluid-structure interactions require interpolations of data on several meshes and their manipulation within one program. GDB can do four main kinds of things plus other things in support of these to help you catch bugs in the act:.

Those programs might be executing on the same machine as GDB native or on another machine remote. Documentation: reference card. It lets you view and manipulate 3D objects: you use the mouse to rotate, translate, zoom in and out, etc. It can be used as a standalone viewer for static objects or as a display engine for other programs which produce dynamically changing geometry. It can display objects described in a variety of file formats. It comes with a wide selection of example objects, and you can create your own objects too.

The main feature of GetDP is the closeness between the input data defining discrete problems written by the user in ASCII data files and the symbolic mathematical expressions of these problems. The goal is to provide a library allowing the computation of any elementary matrix even for mixed finite element methods on the largest class of methods and elements, and for arbitrary dimension i. It offers a complete separation between integration methods exact or approximated , geometric transformations linear or not and finite element methods of arbitrary degrees.

It can really relieve a more integrated finite element code of technical difficulties of elementary computations. Examples of available finite element method are : Pk on simplices in arbitrary degrees and dimensions, Qk on parallelepipeds, P1, P2 with bubble functions, Hermite elements, elements with hierarchic basis for multigrid methods for instance , discontinuous Pk or Qk, XFem, ….

The addition of a new finite element method is straightforward. Its description on the reference element must be provided in most of the cases, this is the description of the basis functions, and nothing more.


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Extensions are provided for Hermite elements, piecewise polynomial, non-polynomial and vectorial elements, XFem. 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. Gmsh is built around four modules: geometry, mesh, solver and post-processing.

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: empirical models, energy models, two-equation models, Explicit Algebraic Stress Models EASM , and K-profile parameterisations KPP. The goal of the GRUMMP project is to develop automatic mesh generation software for unstructured meshes with mixed element types. 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.

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. It can be used in Matlab and libMesh. 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. ISAAC was designed to test turbulence models. 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. 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. 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.

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