Modeling of multi-phase flows and natural convection in a square cavity using an incompressible smoothed particle hydrodynamics

被引:47
作者
Aly, Abdelraheem Mahmoud [1 ]
机构
[1] South Valley Univ, Dept Math, Qena, Egypt
关键词
Natural convection; ISPH; CBS scheme; Multi-phase; Rayleigh-Taylor instability; DOUBLE-DIFFUSIVE CONVECTION; FREE-SURFACE FLOWS; MAGNETIC-FIELD; OPPOSING TEMPERATURE; POROUS ENCLOSURE; SPH METHOD; SIMULATION; WATER;
D O I
10.1108/HFF-05-2014-0161
中图分类号
O414.1 [热力学];
学科分类号
摘要
Purpose - Modeling of multi-phase flows for Rayleigh-Taylor instability and natural convection in a square cavity has been investigated using an incompressible smoothed particle hydrodynamics (ISPH) technique. In this technique, incompressibility is enforced by using SPH projection method and a stabilized incompressible SPH method by relaxing the density invariance condition is applied. The paper aims to discuss these issues. Design/methodology/approach - The Rayleigh-Taylor instability is introduced in two and three phases by using ISPH method. The author simulated natural convection in a square/cubic cavity using ISPH method in two and three dimensions. The solutions represented in temperature, vertical velocity and horizontal velocity have been studied with different values of Rayleigh number Ra parameter (103 = Ra = 105). In addition, characteristic based scheme in Finite Element Method is introduced for modeling the natural convection in a square cavity. Findings - The results for Rayleigh-Taylor instability and natural convection flow had been compared with the previous researches. Originality/value - Modeling of multi-phase flows for Rayleigh-Taylor instability and natural convection in a square cavity has been investigated using an ISPH technique. In ISPH method, incompressibility is enforced by using SPH projection method and a stabilized incompressible SPH method by relaxing the density invariance condition is introduced. The Rayleigh-Taylor instability is introduced in two and three phases by using ISPH method. The author simulated natural convection in a square/cubic cavity using ISPH method in two and three dimensions.
引用
收藏
页码:513 / 533
页数:21
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