A Parallel Implementation of the Finite Volume Method for the Simulation of the Natural Convection in a Closed Cavity

In this work, we present a parallel implementation of an algorithm that simulates the natural convection of fluids in a closed cavity. The method is based on the Boussinesq approximation; and it is numerically solved using the finite volume method, based on the Power-Law interpolating scheme. The pressure-velocity coupling is solved using SIMPLEC algorithm. The software was implemented in Fortran with message passing on a Pentium III processors Linux cluster. The solution is validated upon comparison with experimental results available in the literature. It is shown that the use of parallelism provides a significant speedup and efficiency, without degradation of the quality of the results.

[1]  Raymond Viskanta,et al.  Transient natural convection of low‐Prandtl‐number fluids in a differentially heated cavity , 1991 .

[2]  S. Patankar Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[3]  Christoph Beckermann,et al.  Natural Convection of Liquid Metals in Vertical Cavities , 1988 .

[4]  Y. Wang,et al.  An experimental investigation of the melting process in a rectangular enclosure , 1999 .

[5]  J. P. V. Doormaal,et al.  ENHANCEMENTS OF THE SIMPLE METHOD FOR PREDICTING INCOMPRESSIBLE FLUID FLOWS , 1984 .

[6]  Message P Forum,et al.  MPI: A Message-Passing Interface Standard , 1994 .

[7]  Bin Cong,et al.  Scalable Parallel Computing: Technology, Architecture, Programming , 1999, Parallel Distributed Comput. Pract..

[8]  Michele Ciofalo,et al.  Low-Prandtl number natural convection in volumetrically heated rectangular enclosures , 2000 .

[9]  Rolf Hempel,et al.  The MPI Message Passing Interface Standard , 1994 .

[10]  Zhiwei Xu,et al.  Scalable Parallel Computing: Technology, Architecture, Programming , 1998 .

[11]  E. Bender Numerical heat transfer and fluid flow. Von S. V. Patankar. Hemisphere Publishing Corporation, Washington – New York – London. McGraw Hill Book Company, New York 1980. 1. Aufl., 197 S., 76 Abb., geb., DM 71,90 , 1981 .

[12]  Michele Ciofalo,et al.  Low-Prandtl number natural convection in volumetrically heated rectangular enclosures III. Shallow cavity, AR=0.25 , 2001 .

[13]  Simon Ostrach,et al.  Natural convection in enclosures , 1988 .

[14]  Chie Gau,et al.  Three-dimensional natural convection heat transfer of a liquid metal in a cavity , 1986 .