A bounded upwinding scheme for computing convection-dominated transport problems

V.G. Ferreira; R.A.B. Queiroz; G.A.B. Lima; R.G. Cuenca; C.M. Oishi; J.L.F. Azevedo; Sean McKee

doi:10.1016/j.compfluid.2011.12.021

A bounded upwinding scheme for computing convection-dominated transport problems

V.G. Ferreira, R.A.B. Queiroz, G.A.B. Lima, R.G. Cuenca, C.M. Oishi, J.L.F. Azevedo, Sean McKee

Mathematics And Statistics

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Abstract

A practical high resolution upwind differencing scheme for the numerical solution of convection-dominated transport problems is presented. The scheme is based on TVD and CBC stability criteria and is implemented in the context of the finite difference methodology. The performance of the scheme is investigated by solving the 1D/2D scalar advection equations, 1D inviscid Burgers’ equation, 1D scalar convection–diffusion equation, 1D/2D compressible Euler’s equations, and 2D incompressible Navier–Stokes equations. The numerical results displayed good agreement with other existing numerical and experimental data.

Original language	English
Pages (from-to)	208-224
Number of pages	17
Journal	Computers and Fluids
Volume	57
DOIs	https://doi.org/10.1016/j.compfluid.2011.12.021
Publication status	Published - 30 Mar 2012

Keywords

numerical simulation
upwinding
monotonic interpolation
finite difference
convection modeling
boundedness

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10.1016/j.compfluid.2011.12.021

A bounded upwindingSubmitted manuscript, 2.01 MB

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title = "A bounded upwinding scheme for computing convection-dominated transport problems",

abstract = "A practical high resolution upwind differencing scheme for the numerical solution of convection-dominated transport problems is presented. The scheme is based on TVD and CBC stability criteria and is implemented in the context of the finite difference methodology. The performance of the scheme is investigated by solving the 1D/2D scalar advection equations, 1D inviscid Burgers{\textquoteright} equation, 1D scalar convection–diffusion equation, 1D/2D compressible Euler{\textquoteright}s equations, and 2D incompressible Navier–Stokes equations. The numerical results displayed good agreement with other existing numerical and experimental data.",

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AU - Ferreira, V.G.

AU - Queiroz, R.A.B.

AU - Lima, G.A.B.

AU - Cuenca, R.G.

AU - Oishi, C.M.

AU - Azevedo, J.L.F.

AU - McKee, Sean

PY - 2012/3/30

Y1 - 2012/3/30

N2 - A practical high resolution upwind differencing scheme for the numerical solution of convection-dominated transport problems is presented. The scheme is based on TVD and CBC stability criteria and is implemented in the context of the finite difference methodology. The performance of the scheme is investigated by solving the 1D/2D scalar advection equations, 1D inviscid Burgers’ equation, 1D scalar convection–diffusion equation, 1D/2D compressible Euler’s equations, and 2D incompressible Navier–Stokes equations. The numerical results displayed good agreement with other existing numerical and experimental data.

AB - A practical high resolution upwind differencing scheme for the numerical solution of convection-dominated transport problems is presented. The scheme is based on TVD and CBC stability criteria and is implemented in the context of the finite difference methodology. The performance of the scheme is investigated by solving the 1D/2D scalar advection equations, 1D inviscid Burgers’ equation, 1D scalar convection–diffusion equation, 1D/2D compressible Euler’s equations, and 2D incompressible Navier–Stokes equations. The numerical results displayed good agreement with other existing numerical and experimental data.

KW - numerical simulation

KW - upwinding

KW - monotonic interpolation

KW - finite difference

KW - convection modeling

KW - boundedness

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DO - 10.1016/j.compfluid.2011.12.021

M3 - Article

SN - 0045-7930

VL - 57

SP - 208

EP - 224

JO - Computers and Fluids

JF - Computers and Fluids

ER -

A bounded upwinding scheme for computing convection-dominated transport problems

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