A Semi-Implicit Fractional Step Method Immersed Boundary Method for the Numerical Simulation of Natural Convection Non-Boussinesq Flows

被引：1

作者：

Zyiaga, Dmitry ^{[1
]}

Silverman, Ido ^{[2
]}

Gelfgat, Alexander ^{[3
]}

Feldman, Yuri ^{[1
]}

机构：

[1] Ben Gurion Univ Negev, Dept Mech Engn, POB 653, IL-84105 Beer Sheva, Israel

[2] Soreq Nucl Res Ctr, IL-81000 Yavne, Israel

[3] Tel Aviv Univ, Sch Mech Engn, IL-6997801 Tel Aviv, Israel

来源：

COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2022年 / 32卷 / 03期

关键词：

Natural convection non-Boussinesq flows; pressure-corrected immersed boundary method; multiple steady state solutions;

D O I：

10.4208/cicp.OA-2022-0024

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The paper presents a novel pressure-corrected formulation of the immersed boundary method (IBM) for the simulation of fully compressible non-Boussinesq natural convection flows. The formulation incorporated into the pressure-based fractional step approach facilitates simulation of the flows in the presence of an immersed body characterized by a complex geometry. Here, we first present extensive grid independence and verification studies addressing incompressible pressure-driven flow in an extended channel and non-Boussinesq natural convection flow in a differentially heated cavity. Next, the steady-state non-Boussinesq natural convection flow developing in the presence of hot cylinders of various diameters placed within a cold square cavity is thoroughly investigated. The obtained results are presented and analyzed in terms of the spatial distribution of path lines and temperature fields and of heat flux values typical of the hot cylinder and the cold cavity surfaces. Flow characteristics of multiple steady-state solutions discovered for several configurations are presented and discussed in detail.

引用

页码：737 / 738

页数：2

共 49 条

[11]

Beccantini A., Studer E., Gounand S., Magnaud J. P., Kloczko T., Corre C., Kudriakov S., Numerical simulations of a transient injection flow at low Mach number regime, International Journal for Numerical Methods in Engineering, 76, 5, pp. 662-696, (2008)

[12]

Reddy P. V., Narashinbam G. V., Rao S. R., Johny T., Kasiviswanathan K. V., Non-Boussinesq conjugate natural convection in a vertical annulus, International Communications in Heat and Mass Transfer, 37, 9, pp. 1230-1237, (2010)

[13]

Lappa M., A mathematical and numerical framework for the analysis of compressible thermal convection in gases at very high temperatures, Journal of Computational Physics, 313, pp. 687-712, (2016)

[14]

Armengol J. M., Bannwart F. C., Xaman J., Santos R. G., Effects of variable air properties on transient natural convection for large temperature differences, International Journal of Thermal Sciences, 120, pp. 63-79, (2017)

[15]

Fu W.-S., Li C.-G., Huang C.-P., Huang J.-C., An investigation of a high temperature difference natural convection in a finite length channel without Bossinesq assumption, International Journal of Heat and Mass Transfer, 52, 11-12, pp. 2571-2580, (2009)

[16]

El-Gendi M. M., Aly A., Numerical simulation of natural convection using unsteady compressible Navier-stokes equations, International Journal of Numerical Methods for Heat & Fluid Flow, 27, 11, pp. 2508-2527, (2017)

[17]

Li C.-G., A compressible solver for the laminar-turbulent transition in natural convection with high temperature differences using implicit large eddy simulation, International Communications in Heat and Mass Transfer, 117, (2020)

[18]

Ferziger J. H., Peri M., Street R. L., Computational Methods for Fluid Dynamics, (2020)

[19]

Moukalled F., Darwish M., A unified formulation of the segregated class of algorithms for fluid flow at all speeds, Numerical Heat Transfer Part B – Fundamentals, 37, 1, pp. 103-139, (2000)

[20]

Sewall E. A., Tafti D. K., A time-accurate variable property algorithm for calculating flows with large temperature variations, Computers & Fluids, 37, 1, pp. 51-63, (2008)

← 1 2 3 4 5 →