Computational engineering

Last updated
5 kN rocket thruster built using a Computational Engineering Model using the PicoGK open-source library LEAP 71 Noyron TKL-5 Thruster.jpg
5 kN rocket thruster built using a Computational Engineering Model using the PicoGK open-source library
Simulation of an experimental engine Kiva Simulation.jpg
Simulation of an experimental engine

Computational Engineering is an emerging discipline that deals with the development and application of computational models for engineering, known as Computational Engineering Models [1] or CEM. Computational engineering uses computers to solve engineering design problems important to a variety of industries. [2] At this time, various different approaches are summarized under the term Computational Engineering, including using computational geometry and virtual design for engineering tasks, [3] [4] often coupled with a simulation-driven approach [5] In Computational Engineering, algorithms solve mathematical and logical models [6] that describe engineering challenges, sometimes coupled with some aspect of AI, specifically Reinforcement Learning. [7]

Contents

In Computational Engineering the engineer encodes their knowledge using logical structuring. The result is an algorithm, the Computational Engineering Model, that can produce many different variants of engineering designs, based on varied input requirements. The results can then be analyzed through additional mathematical models to create algorithmic feedback loops. [8]

Simulations of physical behaviors relevant to the field, often coupled with high-performance computing, to solve complex physical problems arising in engineering analysis and design (as well as natural phenomena (computational science). It is therefore related to Computational Science and Engineering, which has been described as the "third mode of discovery" (next to theory and experimentation). [9]

In Computational Engineering, computer simulation provides the capability to create feedback that would be inaccessible to traditional experimentation or where carrying out traditional empirical inquiries is prohibitively expensive.

Computational Engineering should neither be confused with pure computer science, nor with computer engineering, [10] although a wide domain in the former is used in Computational Engineering (e.g., certain algorithms, data structures, parallel programming, high performance computing) and some problems in the latter can be modeled and solved with Computational Engineering methods (as an application area).

It is typically offered as a masters or doctorate program. [11]

Methods

Computational Engineering methods and frameworks include:

With regard to computing, computer programming, algorithms, and parallel computing play a major role in Computational Engineering. The most widely used programming language in the scientific community is FORTRAN. [12] Recently, C++ and C have increased in popularity over FORTRAN. Due to the wealth of legacy code in FORTRAN and its simpler syntax, the scientific computing community has been slow in completely adopting C++ as the lingua franca. Because of its very natural way of expressing mathematical computations, and its built-in visualization capacities, the proprietary language/environment MATLAB is also widely used, especially for rapid application development and model verification. Python along with external libraries (such as NumPy, SciPy, Matplotlib) has gained some popularity as a free and Copycenter alternative to MATLAB.

Open Source Movement

There are a number of Free and Open-Source Software (FOSS) tools that support Computational Engineering.

Applications

A numerical solution to the heat equation on a pump casing model using the finite element method. Elmer-pump-heatequation.png
A numerical solution to the heat equation on a pump casing model using the finite element method.

Computational Engineering finds diverse applications, including in:

See also

Related Research Articles

<span class="mw-page-title-main">Computer science</span> Study of computation

Computer science is the study of computation, information, and automation. Computer science spans theoretical disciplines to applied disciplines.

<span class="mw-page-title-main">MATLAB</span> Numerical computing environment and programming language

MATLAB is a proprietary multi-paradigm programming language and numeric computing environment developed by MathWorks. MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages.

<span class="mw-page-title-main">Numerical analysis</span> Study of algorithms using numerical approximation

Numerical analysis is the study of algorithms that use numerical approximation for the problems of mathematical analysis. It is the study of numerical methods that attempt to find approximate solutions of problems rather than the exact ones. Numerical analysis finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences like economics, medicine, business and even the arts. Current growth in computing power has enabled the use of more complex numerical analysis, providing detailed and realistic mathematical models in science and engineering. Examples of numerical analysis include: ordinary differential equations as found in celestial mechanics, numerical linear algebra in data analysis, and stochastic differential equations and Markov chains for simulating living cells in medicine and biology.

<span class="mw-page-title-main">Computational physics</span> Numerical simulations of physical problems via computers

Computational physics is the study and implementation of numerical analysis to solve problems in physics. Historically, computational physics was the first application of modern computers in science, and is now a subset of computational science. It is sometimes regarded as a subdiscipline of theoretical physics, but others consider it an intermediate branch between theoretical and experimental physics — an area of study which supplements both theory and experiment.

<span class="mw-page-title-main">Scilab</span> Open-source numerical computation software

Scilab is a free and open-source, cross-platform numerical computational package and a high-level, numerically oriented programming language. It can be used for signal processing, statistical analysis, image enhancement, fluid dynamics simulations, numerical optimization, and modeling, simulation of explicit and implicit dynamical systems and symbolic manipulations.

Computer science is the study of the theoretical foundations of information and computation and their implementation and application in computer systems. One well known subject classification system for computer science is the ACM Computing Classification System devised by the Association for Computing Machinery.

<span class="mw-page-title-main">Computer science and engineering</span> University academic program

Computer science and engineering (CSE) is an academic program at many universities which comprises approaches of computer science and computer engineering. There is no clear division in computing between science and engineering, just like in the field of materials science and engineering. However, some classes are historically more related to computer science, and other to computer engineering. CSE is also a term often used in Europe to translate the name of technical or engineering informatics academic programs. It is offered in both undergraduate as well postgraduate with specializations.

Computational science, also known as scientific computing, technical computing or scientific computation (SC), is a division of science that uses advanced computing capabilities to understand and solve complex physical problems. This includes

Numerical methods for partial differential equations is the branch of numerical analysis that studies the numerical solution of partial differential equations (PDEs).

<span class="mw-page-title-main">Mesh generation</span> Subdivision of space into cells

Mesh generation is the practice of creating a mesh, a subdivision of a continuous geometric space into discrete geometric and topological cells. Often these cells form a simplicial complex. Usually the cells partition the geometric input domain. Mesh cells are used as discrete local approximations of the larger domain. Meshes are created by computer algorithms, often with human guidance through a GUI, depending on the complexity of the domain and the type of mesh desired. A typical goal is to create a mesh that accurately captures the input domain geometry, with high-quality (well-shaped) cells, and without so many cells as to make subsequent calculations intractable. The mesh should also be fine in areas that are important for the subsequent calculations.

Computational mechanics is the discipline concerned with the use of computational methods to study phenomena governed by the principles of mechanics. Before the emergence of computational science as a "third way" besides theoretical and experimental sciences, computational mechanics was widely considered to be a sub-discipline of applied mechanics. It is now considered to be a sub-discipline within computational science.

<span class="mw-page-title-main">Computational mathematics</span> Area of mathematics

Computational mathematics is the study of the interaction between mathematics and calculations done by a computer.

The SIAM Journal on Scientific Computing (SISC), formerly SIAM Journal on Scientific & Statistical Computing, is a scientific journal focusing on the research articles on numerical methods and techniques for scientific computation. It is published by the Society for Industrial and Applied Mathematics (SIAM). Hans De Sterck is the current editor-in-chief, assuming the role in January 2022. The impact factor is currently around 2.

The following is a timeline of scientific computing, also known as computational science.

Model order reduction (MOR) is a technique for reducing the computational complexity of mathematical models in numerical simulations. As such it is closely related to the concept of metamodeling, with applications in all areas of mathematical modelling.

pSeven For designing software used in electronics and embedded systems

pSeven is a design space exploration (DSE) software platform that was developed by pSeven SAS that features design, simulation, and analysis capabilities and assists in design decisions. It provides integration with third-party CAD and CAE software tools; multi-objective and robust optimization algorithms; data analysis, and uncertainty quantification tools.

<span class="mw-page-title-main">FEATool Multiphysics</span>

FEATool Multiphysics is a physics, finite element analysis (FEA), and partial differential equation (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.

References

  1. "Computational Engineering Models for the Design of Mechanical Counterpressure Spacesuits". 2022-12-21. Archived from the original on 2022-12-21. Retrieved 2023-06-27.
  2. "What is Computational Engineering?". www.ae.utexas.edu. Retrieved 2023-09-20.
  3. "Research Area: Computational Engineering | Mechanical Engineering". me.stanford.edu. Retrieved 2023-04-22.
  4. "Computational engineering". www.meche.engineering.cmu.edu. Retrieved 2023-04-22.
  5. "Research Area: Computational Engineering | Mechanical Engineering". me.stanford.edu. Retrieved 2023-02-27.
  6. Editorial Staff (2021-12-24). "What is Computational Engineering? • College Guidepost". College Guidepost. Retrieved 2023-04-22.
  7. "What Is Computational Engineering?".
  8. Editorial Staff (2021-12-24). "What is Computational Engineering? • College Guidepost". College Guidepost. Retrieved 2023-04-22.
  9. "Computational Science and Engineering Program: Graduate Student Handbook" (PDF). cseprograms.gatech.edu. September 2009. Archived from the original (PDF) on 2014-10-14. Retrieved 2012-04-08.
  10. "What is Computational Engineering?". www.ae.utexas.edu. Retrieved 2023-09-20.
  11. "Graduate and Undergraduate Programs in Computational Science". SIAM. Retrieved 2020-05-23.
  12. "Why is fortran extensively used in scientific computing and not any other language?". ResearchGate. Retrieved 2020-05-23.
  13. "About PicoGK | LEAP 71". leap71.com. Retrieved 2023-11-20.