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TECHNICAL BRIEFS

On the Convergence of Higher Order Upwind Differencing Schemes for Tridiagonal Iterative Solution of the Advection-Diffusion Equation

[+] Author and Article Information
Sandip Mazumder

Department of Mechanical Engineering, The Ohio State University, Columbus, OH 43202mazumder.2@osu.edu

J. Fluids Eng 128(2), 406-409 (Sep 07, 2005) (4 pages) doi:10.1115/1.2170130 History: Received May 30, 2005; Revised September 07, 2005

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

Spectral radius for iterative TDMA solution of the one-dimensional advection-diffusion equation using the QUICK scheme with 100 cells

Grahic Jump Location
Figure 2

Convergence of the one-dimensional advection-diffusion equation solved using the finite-volume method with the QUICK scheme for advection and central difference for diffusion

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Figure 3

Spectral radius for iterative TDMA solution of the one-dimensional advection-diffusion equation using the second order upwind differencing scheme with 100 cells

Grahic Jump Location
Figure 4

Convergence of the one-dimensional advection-diffusion equation solved using the finite-volume method with the second-order upwind difference scheme for advection and central difference for diffusion

Grahic Jump Location
Figure 5

Convergence of the one-dimensional advection-diffusion equation solved using the finite-volume method with the QUICK scheme for advection and central difference for diffusion, and an inertial damping factor α equal to 0.02

Grahic Jump Location
Figure 6

Convergence of the one-dimensional advection-diffusion equation solved using the finite-volume method with the second-order upwind difference scheme for advection and central difference for diffusion, and an inertial damping factor α equal to 0.02

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