具有空间分数导数和可变沉积通量的流体-三角洲沉积过程的前固定数值方法

IF 2.6 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Physica Scripta Pub Date : 2024-09-17 DOI:10.1088/1402-4896/ad78c6

Jaya Joshi, Rajeev, J F Gómez-Aguilar and J E Lavín-Delgado

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引用次数: 0

摘要

该模型涉及空间分数导数（卡普托导数）和随时间变化的沉积通量，用于研究沉积海盆中海岸线的移动。该模型是基本海岸线模型的一个特例，类似于斯特凡问题。问题的数值解采用前固定显式有限差分法。对数值方案的一致性、稳定性和收敛性进行了理论分析。此外，还评估了不同情况下可变泥沙通量对海岸线位置移动和泥沙高度的影响。

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A front-fixing numerical method for a fluvio-deltaic sedimentation process with thespace fractional derivative and variable sediment flux

This paper centers around a space-fractional mathematical model for a fluvio-deltaic sedimentation process which involves a space-fractional derivative (Caputo derivative) and time dependent variable sediment flux to investigates the movement of shoreline in a sedimentary ocean basin. This model is a specific case of a basic shoreline model and analogous to a Stefan problem. The numerical solution to the problem is acquired by employing a front-fixing explicit finite difference method. The consistency, stability and convergence of the numerical scheme are theoretically analyzed. The effects of variable sediment flux on the movement of shoreline position and the height of sediments are also assessed for different cases.

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来源期刊

Physica Scripta 物理-物理：综合

CiteScore

3.70

自引率

3.40%

发文量

782

审稿时长

4.5 months

期刊介绍： Physica Scripta is an international journal for original research in any branch of experimental and theoretical physics. Articles will be considered in any of the following topics, and interdisciplinary topics involving physics are also welcomed: -Atomic, molecular and optical physics- Plasma physics- Condensed matter physics- Mathematical physics- Astrophysics- High energy physics- Nuclear physics- Nonlinear physics. The journal aims to increase the visibility and accessibility of research to the wider physical sciences community. Articles on topics of broad interest are encouraged and submissions in more specialist fields should endeavour to include reference to the wider context of their research in the introduction.