Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
INTEGRAL TRANSFORM SOLUTION OF INCOMPRESSIBLE FLOW WITH TRANSIENT PRESSURE GRADIENT
Submission Author:
Krishina Dasa Alves Da Costa , RJ
Co-Authors:
Krishina Dasa Alves Da Costa, Isabela Florindo Pinheiro, Leandro Alcoforado Sphaier, Diego Knupp
Presenter: Krishina Dasa Alves Da Costa
doi://10.26678/ABCM.COBEM2023.COB2023-1766
Abstract
In the past decades, the Generalized Integral Transform Technique (GITT), has been employed toward the solution of many problems of engineering, including in fluid dynamics, however, most of the studies in that area concern regular geometries, due to the difficulties to solve the associated eigenvalues problem for irregular domains in this type of methods. Thus, in order to consider more practical applications, solutions for the transient Navier-Stokes equation are obtained for one-directional, incompressible, laminar flow in a hexagonal irregular domain using the Technique. When employing the technique for the irregular geometry, two methodologies are compared: coincident domain approach, that deals with the geometry directly, and the fictitious domain approach, which consists of solving the problem for a regular geometry that encompasses the irregular one. The focus of this study is to compare both approaches using an error estimate and comparing computational time. Results for the Coincident domain approach are shown.
Keywords
Integral Transform, Irregular domains, Computational Mechanics, Fluid Mechanics and Rheology - Computational Fluid Dynamics
