Accurate Simulation of Contaminant Transport Using High-Order Compact Finite Difference Schemes

IF 1.2 Q2 MATHEMATICS, APPLIED
Gurhan Gurarslan
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引用次数: 5

Abstract

Numerical simulation of advective-dispersive contaminant transport is carried out by using high-order compact finite difference schemes combined with second-order MacCormack and fourth-order Runge-Kutta schemes. Both of the two schemes have accuracy of sixth-order in space. A sixth-order MacCormack scheme is proposed for the first time within this study. For the aim of demonstrating efficiency and high-order accuracy of the current methods, some numerical experiments have been done. The schemes are implemented to solve two test problems with known exact solutions. It has been exhibited that the methods are capable of succeeding high accuracy and efficiency with minimal computational effort, by comparisons of the computed results with exact solutions.
用高阶紧致有限差分格式精确模拟污染物输运
采用高阶紧凑有限差分格式,结合二阶MacCormack格式和四阶龙格-库塔格式,对污染物的流动-弥散输运进行了数值模拟。两种格式在空间上都具有六阶精度。本文首次提出了一个六阶MacCormack格式。为了证明现有方法的有效性和高阶精度,进行了数值实验。该方案用于解决两个已知精确解的测试问题。计算结果与精确解的比较表明,该方法能以最小的计算量获得较高的精度和效率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Journal of Applied Mathematics
Journal of Applied Mathematics MATHEMATICS, APPLIED-
CiteScore
2.70
自引率
0.00%
发文量
58
审稿时长
3.2 months
期刊介绍: Journal of Applied Mathematics is a refereed journal devoted to the publication of original research papers and review articles in all areas of applied, computational, and industrial mathematics.
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