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Construction of a Third-Order Accurate TVD Scheme Using Leonard's Normalized Variable Diagram with Application to Turbulent Flows in General Domains.


PB95238424

Publication Date 1994
Personal Author Zijlema, M.
Page Count 24
Abstract A formal third-order accurate finite volume upwind scheme, which preserves monotonicity, is constructed. It is based on a third-order polynomial characteristic in the normalized variable diagram proposed by Leonard. A limiter is derived using the fact that there exists a one-to-one map between normalized variable diagram and Sweby's Total Variation Diminishing (TVD) diagram. The scheme, which is relatively simple and quite compact, is implemented in a staggered general coordinates finite volume algorithm including standard and RNG k-epsilon models and applied to turbulence transport equations. A number of test problems show the utility of the proposed scheme. (Copyright (c) 1994 by Faculty of Technical Mathematics and Informatics, Delft, The Netherlands.)
Keywords
  • Turbulent flow
  • Upwind schemes(Mathematics)
  • Finite volume method
  • Computational grids
  • Turbulence
  • K-epsilon turbulence model
  • Numerical flow visualization
  • Convection
  • Computational fluid dynamics
  • Navier-Stokes equation
  • Foreign technology
Source Agency
  • Netherlands Participating Organizations
NTIS Subject Category
  • 46B - Fluid Mechanics
Corporate Authors Technische Univ. Delft (Netherlands). Faculty of Technical Mathematics and Informatics.
Supplemental Notes Also pub. as Technische Univ. Delft (Netherlands). Faculty of Technical Mathematics and Informatics rept. no. REPT-94-104.
Document Type Technical Report
NTIS Issue Number 199518
Construction of a Third-Order Accurate TVD Scheme Using Leonard's Normalized Variable Diagram with Application to Turbulent Flows in General Domains.
Construction of a Third-Order Accurate TVD Scheme Using Leonard's Normalized Variable Diagram with Application to Turbulent Flows in General Domains.
PB95238424

  • Turbulent flow
  • Upwind schemes(Mathematics)
  • Finite volume method
  • Computational grids
  • Turbulence
  • K-epsilon turbulence model
  • Numerical flow visualization
  • Convection
  • Computational fluid dynamics
  • Navier-Stokes equation
  • Foreign technology
  • Netherlands Participating Organizations
  • 46B - Fluid Mechanics
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