Slow gas flow passing a solid is a convection/diffusion equation

Bresch‐Pietri, Delphine; Petit, Nicolas

doi:10.1016/j.ifacol.2019.06.085

Cited by 1 publication

(1 citation statement)

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“…Meanwhile, standard approaches become unstable when convection dominates, and unique techniques are required to numerically approximate solutions. CDE appears in various applications of science and engineering such as gas transport [1][2][3], rotating disks [4][5][6], water pollution [7,8], and porous media [9][10][11]. Owing to CDE's wide applications, it has attracted Iteration for Solving Two-Dimensional Unsteady Convection-Diffusion Problems significant attention and interest from mathematicians and researchers in recent years.…”

Section: Introductionmentioning

confidence: 99%

A Rotated Similarity Reduction Approach with Half-Sweep Successive Over-Relaxation Iteration for Solving Two-Dimensional Unsteady Convection-Diffusion Problems

Ali¹,

Sulaiman²,

Saudi³

et al. 2023

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In this paper, we transformed a two-dimensional unsteady convection-diffusion equation into a two-dimensional steady convection-diffusion equation using the similarity transformation technique. This technique can be easily applied to linear or nonlinear problems and is capable of reducing the size of computational works since the main idea of this technique is to reduce at least one independent variable. The corresponding similarity equation is then solved numerically using an effective numerical technique, namely a new five-point rotated similarity finite difference scheme via half-sweep successive over-relaxation iteration. This work compared the performance of the proposed method with Gauss-Seidel and successive over-relaxation with the full-sweep concept. Numerical tests were carried out to obtain the performance of the proposed method using C simulation. The results revealed that the combination of the five-point rotated similarity finite difference scheme via half-sweep successive over-relaxation iteration is the most superior method in terms of the iteration number and computational time compared to all these methods. Additionally, in terms of accuracy, all three iterative methods are also comparable.

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