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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.)

A Hierarchical Grid Solver for Simulation of Flows of Complex Fluids

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Author(s):
Castelo, Antonio [1] ; Afonso, Alexandre M. [2] ; De Souza Bezerra, Wesley [3]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat Aplicada & Estat, Cx P 668, BR-13560970 Sao Carlos, SP - Brazil
[2] Univ Porto, Fac Engn, Dept Engn Mecan, Ctr Estudos Fenomenos Transporte, P-4200465 Porto - Portugal
[3] Fundacao Univ Fed Grande Dourados, Fac Ciencias Exatas & Tecnol, Cx P 364, BR-79804970 Dourados, MS - Brazil
Total Affiliations: 3
Document type: Journal article
Source: POLYMERS; v. 13, n. 18 SEP 2021.
Web of Science Citations: 0
Abstract

Tree-based grids bring the advantage of using fast Cartesian discretizations, such as finite differences, and the flexibility and accuracy of local mesh refinement. The main challenge is how to adapt the discretization stencil near the interfaces between grid elements of different sizes, which is usually solved by local high-order geometrical interpolations. Most methods usually avoid this by limiting the mesh configuration (usually to graded quadtree/octree grids), reducing the number of cases to be treated locally. In this work, we employ a moving least squares meshless interpolation technique, allowing for more complex mesh configurations, still keeping the overall order of accuracy. This technique was implemented in the HiG-Flow code to simulate Newtonian, generalized Newtonian and viscoelastic fluids flows. Numerical tests and application to viscoelastic fluid flow simulations were performed to illustrate the flexibility and robustness of this new approach. (AU)

FAPESP's process: 20/02990-1 - Computational fluid dynamics of viscoelastic flows
Grantee:Hugo Alberto Castillo Sanchez
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry
Grantee:Francisco Louzada Neto
Support Opportunities: 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 Opportunities: Scholarships in Brazil - Doctorate