Numerical Modeling and Stability Analysis of Aeolian Sand Ripples
Received date: 2012-04-01
Revised date: 2012-04-23
Online published: 2012-04-23
A continuous mathematical model is introduced to simulate the aeolian sand ripples. The model takes into accounts the saltation, reptation and surface creep of sand. The numerical modeling results show that it can be capable of demonstrating some important features of aeolian sand ripples, such as formation, coarsening and saturation of ripple growth for homogeneous sand in nature. Linear stability analysis of the full model and the results of numerical simulation are presented as well. In conclusion, the development of the aeolian sand ripples is an example of self-organizing system in the desert. The implication of this model show that the evolution of aeolian sand ripples and stabilization of scale can be explained by a single spatial continuum method.
Key words： aeolian sand ripples; stability analysis; reptation; creep; nonlinear
WU Sheng-zhi , WANG Peng . Numerical Modeling and Stability Analysis of Aeolian Sand Ripples[J]. Journal of Desert Research, 2013 , 33(4) : 967 -972 . DOI: 10.7522/j.issn.1000-694X.2013.00139
[1]董治宝,郑晓静.中国风沙物理研究五十年(Ⅱ) [J].中国沙漠,2005,25(6):795-815.
[2]屈建军,张克存,张伟民,等.几种典型戈壁床面风沙流特征比较[J].中国沙漠,2012,32(2):285-290.
[3]周旭,吴成来,林朝晖,等.沙尘模式地表起沙参数不确定性分析[J].中国沙漠,2011,31(3):575-582.
[4]Bagnold R A.The Physics of Blown Sand and Desert Dunes[M].New York:William Morrow,1941.
[5]Zheng X J.Mechanics of Wind-blow Sand Movement[M].German:Springer,2009.
[6]Anderson R S.A theoretical model for aeolian impact ripples[J].Sedimentology,1987,34:943-956.
[7]吴锤结,王明,王亮.湍流风场中三维风成沙波纹形成过程的大涡模拟[J].中国科学(G辑),2008,38(6):637-652.
[8]郑晓静,薄天利.风成沙波纹和沙丘的动力行为分析[J].科学通报,2009,54(11):1488-1495.
[9]Hoyle R B,Woods A W.Analytical model of propagating sand ripples[J].Physical Review E,1997,56:6861-6868.
[10]Yizhaq H.A simple model of aeolian megaripples[J].Physica A,2004,338:211-217.
[11]Prigozhin L.Nonlinear dynamics of aeolian sand ripples[J].Physical Review E,1999,60:729-733.
[12]Nishimori H,Ouchi N B.Formation of ripple patterns and dunes by wind-blown sand[J].Physical Review Letters,1993,71:197-201.
[13]Yizhaq H,Balmforth N J,Provenzale A.Blown by wind: nonlinear dynamics of aeolian sand ripples[J].Physica D,2004,195:207-228.
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