压力致分层密度流体的近似Oberbeck-Boussinesq

IF 1.1 4区地球科学 Q3 ASTRONOMY & ASTROPHYSICS

Geophysical and Astrophysical Fluid Dynamics Pub Date : 2020-09-24 DOI:10.1080/03091929.2020.1817913

D. Grandi, A. Passerini

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引用次数: 3

摘要

我们考虑了一个二维可压缩流体的对流模型。研究了机械压缩率和热膨胀率对浮力均有影响的本构极限。运动不再像经典的Boussinesq近似那样是等时的，而是具有与向上运动相关的均匀膨胀率:利用微扰方法，研究了具有压力依赖浮力的类boussinesq近似。证明了该近似系统弱解的存在性，并研究了其稳定性。

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Approximation à la Oberbeck-Boussinesq for fluids with pressure-induced stratified density

ABSTRACT We consider a model for convection in compressible fluids in two dimensions. A constitutive limit is studied in which both the mechanical compressibility and thermal expansion affect the buoyancy force. The motion is no longer isochoric as in the classical Boussinesq approximation but has a uniform expansion rate associated to the upward motion: . By using a perturbative approach, we study a Boussinesq-like approximation with pressure-dependent buoyancy force. The existence of weak solutions for the approximated system is proved and their stability is investigated.

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来源期刊

Geophysical and Astrophysical Fluid Dynamics 地学天文-地球化学与地球物理

CiteScore

3.10

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Geophysical and Astrophysical Fluid Dynamics exists for the publication of original research papers and short communications, occasional survey articles and conference reports on the fluid mechanics of the earth and planets, including oceans, atmospheres and interiors, and the fluid mechanics of the sun, stars and other astrophysical objects. In addition, their magnetohydrodynamic behaviours are investigated. Experimental, theoretical and numerical studies of rotating, stratified and convecting fluids of general interest to geophysicists and astrophysicists appear. Properly interpreted observational results are also published.