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[[File:CFD_Shuttle.jpg|CFD Shuttle|thumb]] '''Computational Fluid Dynamics''' ('''CFD''') is a branch of [[fluid mechanics]] that uses numerical analysis and data structures to analyze and solve problems that involve [[fluid flows]]. Computers are used to perform the calculations required to simulate the interaction of liquids and gases with surfaces defined by boundary conditions. With high-speed supercomputers, better solutions can be achieved, and are often required to solve the largest and most complex problems.

== Overview ==
CFD provides a qualitative (and sometimes even quantitative) prediction of fluid flows by means of
- mathematical modeling ([[partial differential equations]])
- numerical methods ([[discretization]] and [[algorithm]]s)
- software tools ([[solvers]], [[pre-processing]], and [[post-processing]] utilities)

CFD is applied to a wide range of research and engineering problems in many fields of study and industries, including [[aerospace]], [[automotive engineering]], [[civil engineering]], [[energy]], [[environmental engineering]], and [[medicine]].

== Mathematical Foundation ==
The fundamental basis of almost all CFD problems are the [[Navier-Stokes equations]], which describe the motion of fluid substances. These equations can be simplified by making assumptions based on the specific problem to be solved. For example, in the case of incompressible, steady flow, the simplifications result in a reduced form of the Navier-Stokes equations that are much easier to solve.

== Numerical Methods ==
Several numerical methods are used in CFD to convert the partial differential equations into algebraic equations which can be solved using digital computers. Among these methods are:
- The [[Finite Volume Method]] (FVM) - the most widely used method in CFD
- The [[Finite Element Method]] (FEM)
- The [[Finite Difference Method]] (FDM)
- The [[Spectral Method]]

Each method has its own advantages and is suitable for different kinds of problems.

== Software ==
CFD software packages vary widely in complexity and capability. They can be broadly classified into:
- Commercial software (e.g., ANSYS Fluent, Siemens NX)
- Open source software (e.g., OpenFOAM, SU2)

These software packages help in the preprocessing (geometry and mesh generation), solving (simulation), and postprocessing (result visualization) stages of a CFD project.

== Applications ==
CFD is used in a variety of fields to analyze and solve problems involving fluid flows. Applications include, but are not limited to:
- Design and analysis of engineering systems (e.g., aircraft, automobiles, HVAC systems)
- Prediction of weather patterns and environmental hazards
- Simulation of blood flow in the human body for medical research
- Analysis of natural phenomena (e.g., ocean currents, wind patterns)

== Challenges and Future Directions ==
Despite its widespread use, CFD still faces several challenges, including the need for high computational resources, the difficulty of accurately modeling complex physical phenomena, and the uncertainty in predictions due to modeling assumptions. Future directions in CFD research include the development of more accurate and efficient numerical methods, better integration with other simulation tools, and the use of machine learning and artificial intelligence to improve simulation accuracy and reduce computational costs.

[[Category:Computational Fluid Dynamics]]
[[Category:Fluid Mechanics]]
[[Category:Numerical Analysis]]

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Computational fluid dynamics - Revision history

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