摘要
本文把包含有耗散项(v)和弥散项(B)的Kdv—Burgers方程作为风沙流运动的规范方程,研究了沙丘的形成过程。发现能量的散裂与能量逆转同沙丘发育密切相关,整个过程可概括为:能量散裂(B>0)→相变点(B=0)→能量集中(B<0)→相变点(B=0)→能量散裂(B>0)……对应着的过程是:小沙丘(幼年)成长为大沙丘(壮年)再发展成老年,经过相变(崩塌)再回到幼年。根据kdv—Burgers方程的行波解还讨论了风沙流的性质及沙丘移动的规律。
The Kdv-Burgers equation containing dissipation (V) and dispersion (β) is used to study the formation of dunes, as the gage equation of the wind-drift sand flow. It is found that the cascade dispersed and the inverse of energy are closely related to the dvolution of dune,and the whole processes are summarized as:Energy dispersed(β>0)→Phase transition (β=0)→energy concentrated(β<0)→phase transition(β=0)→energy dispersed (β>0)......It corresponds to the process:little dune (childhood) grows up a large dune(Puime of life)and becomes old dune (old age), then, it comes back to the childhood by phase transition (collapse). Based on the traveling wave solution of Kdv-Burgers equation,the properties of the wind-drift sand flow and the dune shift are disscused.
出处
《干旱区研究》
CSCD
北大核心
1993年第2期10-15,21,共7页
Arid Zone Research
基金
国家自然科学基金
