Artificial compressibility based CBS solutions for double diffusive natural convection in cavities

Abstract

PurposeThe purpose of the paper is to numerically simulate steady‐state thermo‐solutal convection in rectangular cavities with different aspect ratios, subject to horizontal temperature and concentration gradients, and validate the results against numerical and experimental data available from literature.Design/methodology/approachThe fully explicit Artificial Compressibility (AC) version of the Characteristic Based Split (CBS) scheme is adopted to solve double diffusion (DD) problems. A stabilization analysis is carried out to efficiently solve the problems considered in the present work. The thermal and solutal buoyancy forces acting on the fluid have been taken into account in case of aiding and opposing flow conditions.FindingsThe stability limits derived by the authors for the thermo‐solutal convection assume a fundamental role to efficiently solve the DD problems considered. In the cases characterized by higher Rayleigh number the convergent solution is obtained only by employing the new stability conditions. The efficient matrix free procedure employed is a powerful tool to study complex DD problems.Originality/valueIn this paper, the authors extend the stabilization analysis for the AC‐CBS scheme to the solution of DD, fundamental to efficiently solve the present problems, and apply the present fully explicit matrix free scheme, based on finite elements, to the solution of DD natural convection in cavities.

Experimental and Numerical Analysis of Thermal and Hygrometric Characteristics of Building Structures Employing Recycled Plastic Aggregates and Geopolymer Concrete

“…These experimental data have then been used in a numerical simulation code, based on finite elements, in order to reproduce the transient behavior of a typical building structure, characterized by a 3D field of the quantities of interest, defined as thermal bridge. This novel paper integrates the experiences of the authors belonging to research groups, working in two research areas: materials sciences [7][8][9][10]23,25,29,33] and thermal sciences [43][44][45][46][47][48].…”

Parallel solution of multiphase transport problem

“…Since all new time-step values are computed only from the previous ones, the algorithm do not need to communicate with neighbouring nodes to evaluate operator L. The pressure-velocity coupling is performed also locally by Artificial Compressibility Method (ACM) [25].…”

Free Surface and Buoyancy Driven Flows

“…The reader can refer to several available basic heat transfer books and other publications to get further details [75,[78][79][80][81][82][83][84][85][86][87][88][89][90][91][92][93][94][95]. In many practical situations, both buoyancy and forced flows are equally strong and such cases are often called mixed convective flows.…”