风成沙波纹数学模型综述

doi:10.7522/j.issn.1000-694X.2013.00190

摘要/Abstract

摘要：

风成沙波纹是风力作用下地表形成的最基本的地貌类型。近年来,随着计算机技术的迅猛发展,风成沙波纹数值模拟研究越来越引起重视。本文简要介绍了风成沙波纹数学建模的理论基础,并将已有的风成沙波纹数学模型划分为3类,着重介绍了几个经典的风成沙波纹数学模型,详细列举了这些模型的假设条件和数学表达,分析了他们的优缺点。目前,风成沙波纹数学建模的两个基本理论依据为:一个是地表坡度变化导致的蠕移沙通量的变化;另一个是跃移长度随沙床面高度变化的规律,但目前关于此理论的研究并不多。最后,总结和展望了这一领域的研究方向和前景。

关键词: 风成沙波纹, 数学模型, 蠕移, 跃移

Abstract:

Aeolian sand ripple is the most basic geomorphic type by wind. With rapid development of computer technology, the mathematical simulation of aeolian sand ripples has attracted attention increasingly. This paper introduces the theoretical basis of modeling and simulation for aeolian sand ripples, and then the existing models are divided into three types according their hypothesis conditions. Some classic models are introduced and analyzed in great detail. Furthermore,two basic conditions of modeling for aeolian sand ripples are given: the changes of reptation sediment flux caused by surface slope and the rule of saltation length changes according to the height of sand bed. Finally, the new developments and directions are reviewed and prospected.

Key words: aeolian sand ripples, mathematical model, reptation, saltation

中图分类号:

X169

李猛, 董治宝, 张正偲. 风成沙波纹数学模型综述[J]. 中国沙漠, 2013, 33(5): 1285-1292.

LI Meng, DONG Zhi-bao, ZHANG Zheng-cai. Overview on Mathematical Models of Aeolian Sand Ripples[J]. JOURNAL OF DESERT RESEARCH, 2013, 33(5): 1285-1292.

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