Benchmark integral transform results for flow over a backward-facing step

Stratified flow over a backward-facing step: hybrid solution by integral transforms

“…At that occasion, the backward-facing step (BFS) flow problem was solved by Gartling [2] using a finite element procedure and a mesh of 8000 elements, with excellent agreement when compared with experimental works (Dehan and Patrick [3]). More recently, the same problem was solved by Perez Guerrero et al [4] using the generalized integral transform technique (GITT) [5], with a global relative error control of 10 − 4 , yielding full coincidence to four significant digits, at least, against the numerical results of Gartling [2]. Besides, a more thorough comparison with experimental results and previously reported simulations was carried out in Reference [4], exploiting the automatic global accuracy control feature inherent to the hybrid method implemented through integral transforms.…”

Integral Transform for Periodic Laminar Forced Convection in Simultaneously Developing Flow

“…The current goal is to present the solution for the thermal entrance region, since the hydrodynamic problem was solved by Pe¨rez Guerrero and Cotta [16,17]. The current goal is to present the solution for the thermal entrance region, since the hydrodynamic problem was solved by Pe¨rez Guerrero and Cotta [16,17].…”

Guide: Guide for the Verification and Validation of Computational Fluid Dynamics Simulations (AIAA G-077-1998(2002))

“…[76][77][78][79], and incompressible laminar flow over a backward-facing step, with and without heat transfer [80][81][82][83][84]. [76][77][78][79], and incompressible laminar flow over a backward-facing step, with and without heat transfer [80][81][82][83][84].…”