Abstract
This article is focused on the discussion and clarification of some issues related with the convergence of the usual iterative methods to solve heat transfer and fluid flow problems using a segregated approach. These are not new issues, but no such discussion and clarification are found in the literature. It includes clarification of the necessary and sufficient conditions for convergence of the iterative methods to solve the linear discretization equations’ systems, assessment of those conditions from the discretization equations’ coefficients, discussion of the convergence criterion usually referred to as the Scarborough criterion, and clarification why the linear equations’ systems can be solved even when the required condition for convergence is not met. It also highlights the similarity between stability and convergence, both related with successive multiplications of numbers lower than 1 by themselves. This article has also the objective of put together those clarifications and discussions and make them available for students, instructors, programmers and CFD users, in a simultaneously accurate and simple way.
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