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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Numerical Simulation of KBKZ Integral Constitutive Equations in Hierarchical Grids

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Bertoco, Juliana [1] ; de Araujo, Manoel S. B. [2] ; Leiva, Rosalia T. [1] ; Sanchez, Hugo A. C. [1] ; Castelo, Antonio [1]
Total Authors: 5
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13566590 Sao Carlos, SP - Brazil
[2] Univ Fed Para UFPA, Inst Ciencias Exatas & Nat, BR-66075110 Belem, Para - Brazil
Total Affiliations: 2
Document type: Journal article
Source: APPLIED SCIENCES-BASEL; v. 11, n. 11 JUN 2021.
Web of Science Citations: 0

In this work, we present the implementation and verification of HiGTree-HiGFlow solver (see for numerical simulation of the KBKZ integral constitutive equation. The numerical method proposed herein is a finite difference technique using tree-based grids. The advantage of using hierarchical grids is that they allow us to achieve great accuracy in local mesh refinements. A moving least squares (MLS) interpolation technique is used to adapt the discretization stencil near the interfaces between grid elements of different sizes. The momentum and mass conservation equations are solved by an implicit method and the Chorin projection method is used for decoupling the velocity and pressure. The Finger tensor is calculated using the deformation fields method and a three-node quadrature formula is used to derive an expression for the integral tensor. The results of velocity and stress fields in channel and contraction-flow problems obtained in our simulations show good agreement with numerical and experimental results found in the literature. (AU)

FAPESP's process: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry
Grantee:José Alberto Cuminato
Support type: Research Grants - Research, Innovation and Dissemination Centers - RIDC
FAPESP's process: 17/21105-6 - Numerical studies on integro-differential fractional viscoelastic models
Grantee:Rosalia Taboada Leiva
Support type: Scholarships in Brazil - Doctorate
FAPESP's process: 20/02990-1 - Computational fluid dynamics of viscoelastic flows
Grantee:Hugo Alberto Castillo Sanchez
Support type: Scholarships in Brazil - Post-Doctorate