A Hierarchical Grid Solver for Simulation of Flows of Complex Fluids

Autor(es)

Castelo, Antonio ^[1] ; Afonso, Alexandre M. ^[2] ; De Souza Bezerra, Wesley ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: POLYMERS; v. 13, n. 18 SEP 2021.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 20/02990-1 - Dinâmica de escoamentos de fluidos viscoeláticos
• Beneficiário: Hugo Alberto Castillo Sanchez
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
• Beneficiário: Francisco Louzada Neto
• Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs
• Processo FAPESP: 17/21105-6 - Estudos numéricos sobre modelos viscoelásticos integro-diferenciais fracionários
• Beneficiário: Rosalia Taboada Leiva
• Modalidade de apoio: Bolsas no Brasil - Doutorado