A ghost-cell immersed boundary method for the simulations of heat transfer in compressible flows under different boundary conditions Part-II: Complex geometries

• Published in: International journal of heat and mass transfer 2017-01, Vol.104, p.98-111
• Main Authors: Luo, Kun, Mao, Chaoli, Zhuang, Zhenya, Fan, Jianren, Haugen, Nils Erland L.
• Format: Article
• Language: English
• Subjects: Compressible flow; Heat transfer; Immersed boundary method; Irregular boundary
• ISSN: 0017-9310; 1879-2189
• DOI: 10.1016/j.ijheatmasstransfer.2016.08.010

•An extension to complex geometries on a non-uniform underlying mesh is made.•A second-order interpolation scheme is presented.•Mach number effect in high-speed thermal flow is revealed. In this paper, our previous ghost-cell compressible immersed boundary method (Luo et al., 2016) is further implemented to solve heat transfer problems in flows with complex solid geometries. Arbitrary 2D-immersed boundaries are presented by many micro line segments. Each line segment is identified by two vertices. An extension to 3D situation is straightforward, in which arbitrary surfaces can be divided into many triangular surface elements. Two different interpolation schemes for the mirror points, namely inverse distance weighting and bilinear interpolations, are compared. An accurate capture of the secondary vortex street far behind an elliptical cylinder indicates a successful combination of current IB method with the fluid solver. Then, forced convective flow over an inclined non-circle cylinder is used to further validate present method. Finally, Mach>0.3 cases are studied to demonstrate the essentiality of taking compressibility into consideration in high-speed thermal flow problems.