Phase Transition Models in Atmospheric Dynamics

被引:17
作者
Bousquet, Arthur [1 ]
Zelati, Michele Coti [1 ]
Temam, Roger [1 ]
机构
[1] Indiana Univ, Inst Sci Comp & Appl Math, Bloomington, IN 47405 USA
基金
美国国家科学基金会;
关键词
Atmospheric equations; specific humidity; saturation; phase-change; variational inequalities; differential inclusions; finite volumes; upwind discretization methods; PRIMITIVE EQUATIONS;
D O I
10.1007/s00032-014-0213-y
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
From both the theoretical and numerical viewpoints, we study a system of differential inclusions describing the evolution of the temperature and the specific humidity distributions in a system of moist air. We allow the so-called saturation concentration parameter to depend on the temperature, and thus we consider more general and interesting phase-change effects than the ones addressed in [2].
引用
收藏
页码:99 / 128
页数:30
相关论文
共 25 条
[21]  
LIONS JL, 1993, COMPUT MECH ADV, V1, P1
[22]  
Pedlosky J., 1987, GEOPHYS FLUID DYN
[23]  
Petcu M, 2009, HANDB NUM ANAL, V14, P577, DOI 10.1016/S1570-8659(08)00212-3
[24]  
Rogers R. R., 1989, A Short Course in Cloud Physics
[25]   Regularity results for the stationary primitive equations of the atmosphere and the ocean [J].
Ziane, M .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 28 (02) :289-313