Two-dimensional flux-corrected transport solver for convectively dominated flows

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Description

A numerical technique designed to solve a wide class of convectively dominated flow problems is presented. An attractive feature of the technique is its ability to resolve the behavior of field quantities possessing large gradients and/or shocks. The method is a finite-difference technique known as flux-corrected transport (FCT) that maintains four important numerical considerations - stability, accuracy, monotonicity, and conservation. The theory and methodology of two-dimensional FCT is presented. The method is applied in demonstrative example calculations of a 2-D Riemann problem with known exact solutions and to the Euler equations in a study of classical Rayleigh-Taylor and Kelvin-Helmholtz instability ... continued below

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Pages: 78

Creation Information

Baer, M.R. & Gross, R.J. January 1, 1986.

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Description

A numerical technique designed to solve a wide class of convectively dominated flow problems is presented. An attractive feature of the technique is its ability to resolve the behavior of field quantities possessing large gradients and/or shocks. The method is a finite-difference technique known as flux-corrected transport (FCT) that maintains four important numerical considerations - stability, accuracy, monotonicity, and conservation. The theory and methodology of two-dimensional FCT is presented. The method is applied in demonstrative example calculations of a 2-D Riemann problem with known exact solutions and to the Euler equations in a study of classical Rayleigh-Taylor and Kelvin-Helmholtz instability problems. The FCT solver has been vectorized for execution on the Cray 1S - a typical call with a 50 by 50 mesh requires about 0.00428 cpu seconds of execution time per call to the routine. Additionally, we have maintained a modular structure for the solver that eases its implementation. Fortran listings of two versions of the 2-D FCT solvers are appended with a driver main program illustrating the call sequence for the modules. 59 refs., 49 figs.

Physical Description

Pages: 78

Notes

NTIS, PC A05/MF A01; 1.

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  • Other Information: Portions of this document are illegible in microfiche products. Original copy available until stock is exhausted

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  • Other: DE86005329
  • Report No.: SAND-85-0613
  • Grant Number: AC04-76DP00789
  • DOI: 10.2172/6291096 | External Link
  • Office of Scientific & Technical Information Report Number: 6291096
  • Archival Resource Key: ark:/67531/metadc1114832

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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Creation Date

  • January 1, 1986

Added to The UNT Digital Library

  • Feb. 22, 2018, 7:45 p.m.

Description Last Updated

  • May 18, 2018, 4:25 p.m.

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Baer, M.R. & Gross, R.J. Two-dimensional flux-corrected transport solver for convectively dominated flows, report, January 1, 1986; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc1114832/: accessed August 15, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.