FCT - Flux-Corrected Transport <author> <version> <abstract> Flux-Corrected Transport (FCT) is a conservative, monotone technique for integrating generalized continuity and hydromagnetic equations. It is especially useful for solving compressible-flow problems, particularly those involving shock and rarefaction waves and contact discontinuities. FCT accomplishes this objective by combining integration schemes with low and high orders of spatial accuracy. The low-order scheme provides a monotone solution, usually by the introduction of diffusive numerical fluxes, while the high-order scheme provides high accuracy in regions of smooth flow and shallow gradients. The high-order solution is obtained by "antidiffusing" the low-order, monotone solution, but only to such an extent that no new extrema are created and no existing extrema are accentuated. This is done by limiting, or "correcting," the antidiffusive fluxes of the high-order scheme, hence the name Flux-Corrected Transport. <description><url>http://sdcd.gsfc.nasa.gov/ESS/exchange/contrib/gardner/FCT.html</url> <reference><url>ftp://sdcd.gsfc.nasa.gov/pub/HPCC/ESS/gardner/FCTbib.html</url> <contact>C. Richard DeVore <keywords>hydromagnetic equations; hydrodynamics; magnetohydrodynamics; application program <category>application <publication-date> <environment>Cray (Fortran 77) and Connection Machine (CM Fortran) versions <method> <application>compressible-flow problems <comments> </urc>

http://sdcd.gsfc.nasa.gov/ESS/exchange/contrib/gardner/FCT.html FCT - Flux-Corrected Transport <author> <version> <abstract> Flux-Corrected Transport (FCT) is a conservative, monotone technique for integrating generalized continuity and hydromagnetic equations. It is especially useful for solving compressible-flow problems, particularly those involving shock and rarefaction waves and contact discontinuities. FCT accomplishes this objective by combining integration schemes with low and high orders of spatial accuracy. The low-order scheme provides a monotone solution, usually by the introduction of diffusive numerical fluxes, while the high-order scheme provides high accuracy in regions of smooth flow and shallow gradients. The high-order solution is obtained by "antidiffusing" the low-order, monotone solution, but only to such an extent that no new extrema are created and no existing extrema are accentuated. This is done by limiting, or "correcting," the antidiffusive fluxes of the high-order scheme, hence the name Flux-Corrected Transport. <description><url>http://sdcd.gsfc.nasa.gov/ESS/exchange/contrib/gardner/FCT.html</url> <reference><url>ftp://sdcd.gsfc.nasa.gov/pub/HPCC/ESS/gardner/FCTbib.html</url> <contact>C. Richard DeVore <keywords>hydromagnetic equations; hydrodynamics; magnetohydrodynamics; application program <category>application <publication-date> <environment>Cray (Fortran 77) and Connection Machine (CM Fortran) versions <method> <application>compressible-flow problems <comments> </urc>