Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
Verification of a Viscoelastic LPTT Fluid Flow Code by the Method of Manufactured Solutions
Submission Author:
Andreza Beatriz , SP
Co-Authors:
Welton Costa Lavércio, Andreza Beatriz, Juniormar Organista, Leandro Franco de Souza
Presenter: Andreza Beatriz
doi://10.26678/ABCM.COBEM2023.COB2023-0737
Abstract
The verification of in-house numerical codes used for simulating fluid flow is essential to ensure accurate and reliable results. This becomes particularly challenging when dealing with non-linear equations that lack analytical solutions. The Method of Manufactured Solution (MMS) offers a reliable approach to code verification by creating a hypothetical solution and allowing for a comprehensive examination of each code subroutine. In this study, we develop a numerical code to simulate viscoelastic fluid flow and verify its accuracy using the MMS. The mathematical model employed is based on the two-dimensional Navier-Stokes equations, incorporating a viscoelastic LPTT model. Spatial derivatives are discretized using finite difference schemes, with three codes implemented utilizing second, fourth, and sixth-order schemes. For time integration, a fourth-order Runge-Kutta scheme is employed, and a numerical compact filter is incorporated to suppress non-physical oscillations. The MMS is implemented using sine functions. The results demonstrate that the implemented code is error-free, and the order of accuracy associated with each code is verified. This study provides valuable insights into the verification of numerical codes for simulating viscoelastic fluid flows, showcasing the effectiveness of the MMS in ensuring accurate and reliable results.
Keywords
viscoelastic fluids, LPTT Model, Methods of Manufactured Solutions, Runge-Kutta Method, Code Verification, finite difference schemes
