Flux-corrected transport (FCT) is a
conservative
Conservatism is a cultural, social, and political philosophy and ideology that seeks to promote and preserve traditional institutions, customs, and values. The central tenets of conservatism may vary in relation to the culture and civiliza ...
shock-capturing scheme for solving
Euler equations and other
hyperbolic equation
In mathematics, a hyperbolic partial differential equation of order n is a partial differential equation (PDE) that, roughly speaking, has a well-posed initial value problem for the first n - 1 derivatives. More precisely, the Cauchy problem can ...
s which occur in
gas dynamics
Compressible flow (or gas dynamics) is the branch of fluid mechanics that deals with flows having significant changes in fluid density. While all flows are compressible, flows are usually treated as being incompressible when the Mach number (the ...
,
aerodynamics
Aerodynamics () is the study of the motion of atmosphere of Earth, air, particularly when affected by a solid object, such as an airplane wing. It involves topics covered in the field of fluid dynamics and its subfield of gas dynamics, and is an ...
, and
magnetohydrodynamics
In physics and engineering, magnetohydrodynamics (MHD; also called magneto-fluid dynamics or hydromagnetics) is a model of electrically conducting fluids that treats all interpenetrating particle species together as a single Continuum ...
. It is especially useful for solving problems involving
shock
Shock may refer to:
Common uses
Healthcare
* Acute stress reaction, also known as psychological or mental shock
** Shell shock, soldiers' reaction to battle trauma
* Circulatory shock, a medical emergency
** Cardiogenic shock, resulting from ...
or contact discontinuities. An FCT algorithm consists of two stages, a transport stage and a flux-corrected anti-diffusion stage. The numerical errors introduced in the first stage (i.e., the transport stage) are corrected in the anti-diffusion stage.
References
* Jay P. Boris and David L. Book,
Flux-corrected transport, I: SHASTA, a fluid transport algorithm that works, ''J. Comput. Phys.'' 11, pp. 38 (1973).
External links
Fully multidimensional flux-corrected transport algorithms for fluids
See also
*
Computational fluid dynamics
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 dynamics, fluid flows. Computers are used to perform the calculations required ...
*
Computational magnetohydrodynamics
Computational magnetohydrodynamics (CMHD) is a rapidly developing branch of magnetohydrodynamics that uses numerical methods and algorithms to solve and analyze problems that involve electrically conducting fluids. Most of the methods used in CMHD ...
*
Shock capturing methods In computational fluid dynamics, shock-capturing methods are a class of techniques for computing inviscid flows with shock waves. The computation of flow containing shock waves is an extremely difficult task because such flows result in sharp, disco ...
*
Volume of fluid method
In computational fluid dynamics, the volume of fluid (VOF) method is a family of free-surface modelling techniques, i.e. numerical method, numerical techniques for tracking and locating the free surface (or Fluid interface, fluid–fluid interfa ...
Computational fluid dynamics
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