Premium
Fluid flow and heat transfer test problems for non‐orthogonal grids: Bench‐mark solutions
Author(s) -
Demirdžić I.,
Lilek Ž.,
Perić M.
Publication year - 1992
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650150306
Subject(s) - multigrid method , discretization , mathematics , reynolds number , heat transfer , flow (mathematics) , finite volume method , computational fluid dynamics , fluid dynamics , control volume , mechanics , mathematical analysis , partial differential equation , geometry , physics , turbulence
Four problems of fluid flow and heat transfer were designed in which non‐orthogonal, boundary‐fitted grids were to be used. These are proposed to serve as test cases for testing new solution methods. This paper presents solutions of the test problems obtained by using a multigrid finite volume method with grids of up to 320 × 320 control volumes. Starting from zero fields, iterations were performed until the sum of the absolute residuals had fallen seven orders of magnitude, thus ensuring that the variable values did not change to six most significant digits. By comparing the solutions for successive grids at moderate Reynolds and Rayleigh numbers, the discretization errors were estimated to be lower than 0·1%. The results presented in this paper may thus serve for comparison purposes as bench‐mark solutions.