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A monotonic weighted compact finite difference solution for a non-linear steady advection-diffusion equation | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 22 دی 1403 اصل مقاله (840.5 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.61722.2680 | ||
| نویسنده | ||
| Prapol Chivapornthip* | ||
| Department of Industrial Engineering, Faculty of Engineering, Kasetsart University. | ||
| چکیده | ||
| This paper introduces a monotonic weighted compact finite difference scheme (WC-FDM) designed to solve the non-linear one-dimensional steady advection-diffusion equation (ADE). The WC-FDM scheme is validated against the analytical solution and is adaptable to accommodate both uniform and non-uniform grid spacing. Criteria for selecting weights have been developed to ensure scheme monotonicity. Computational performance is benchmarked against other numerical schemes. Numerical analyses reveal that the WC-FDM accurately solves the non-linear steady ADE for both uniform and non-uniform grid spacing scenarios without introducing spurious oscillations. The proposed weight criteria maintain the monotonicity of the WC-FDM scheme resulting in the computational stability regardless of the advection-dominance level and grid spacing uniformity. | ||
| کلیدواژهها | ||
| Compact finite difference؛ Monotonic scheme؛ Advection-diffusion؛ Weighted finite difference | ||
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آمار تعداد مشاهده مقاله: 12 تعداد دریافت فایل اصل مقاله: 7 |
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