Ph.D. · Completed

Daniel Barbedo Vasconcelos Santos

Finite Element Simulation of Three-Dimensional Two-Phase Flows in Complex Geometries

Profile

Ph.D.

Status

Completed

Date

19 Mar 2024

Length

129 pages

Institution

Universidade Federal do Rio de Janeiro

Advising

Advisor: Anjos, G. R.

Document

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Student work

Finite Element Simulation of Three-Dimensional Two-Phase Flows in Complex Geometries

Abstract

In this work, three-dimensional two-phase flows in complex geometries are investigated through finite element numerical simulations. The governing equations, are written in three-dimensional Cartesian coordinates and solved through the finite element method on unstructured meshes, using the Taylor-Hood "Mini" element, chosen due to its numerical stability and convergence. The convective term of the momentum equation is discretized by a first-order semi-Lagrangian method. The fluid phases are separated by an interface mesh constructed by triangular surface elements, uncoupled from the main three-dimensional fluid mesh. Surface tension force is calculated through the Laplace-Beltrami operator and added to the simulation as a source term through the continuum surface force model (CSF). At the start of each time step, the positions of the interface mesh nodes are updated based on the fluid velocity fields. The proposed methodology is verified against analytical and experimental data through single and two-phase benchmark tests found in the literature, such as the static droplet, oscillating droplet, rising bubble in quiescent fluid and Taylor bubbles, and the numerical code is used to simulate several twophase flows in complex geometries, such as Taylor bubbles in different cross-sections and converging, expanding and curved channels

Advising

Advisor: Anjos, G. R.

Research output

9 publications

Journal articles, conference papers and other records associated with this student.

Journal 3

Publications

Conference 6

Publications

Journal · 2025 · Fluids

Numerical Investigation of a Gas Bubble in Complex Geometries for Industrial Process Equipment Design

Daniel B. V. Santos; Antônio E. M. Santos; Enio P. Bandarra Filho; G. R. Anjos

Vol. 10 No. 7 Article 172 ISSN 2311-5521

This study investigates three-dimensional two-phase flows in complex geometries found in industrial process equipment design using finite-element numerical simulations. The governing equations are formulated in...

Journal · 2024 · Fluids

Numerical Investigation of Gas Bubble Interaction in a Circular Cross-Section Channel in Shear Flow

Daniel B. V. Santos; Gustavo P. Oliveira; Norberto Mangiavacchi; Prashant Valluri; Gustavo R. Anjos

Vol. 9 No. 2 Article 32 ISSN 2311-5521

This work’s goal is to numerically investigate the interactions between two gas bubbles in a fluid flow in a circular cross-section channel, both in the presence and in the absence of gravitational forces, with several...

Conference · 2024 · Anais do 20th Brazilian Congress of Thermal Sciences and Engineering

Finite Element Simulation of Two-Phase Flows with Heat and Mass Transfer Through a Decoupled Mesh Method

D. B. V. Santos; G.R. Anjos

Foz do Iguaçu, Brazil

Journal · 2024 · International Journal for Numerical Methods in Fluids

Computation of Deformable Interface Two-Phase Flows: A Semi-Lagrangian Finite Element Approach

Daniel B. V. Santos; Rafael Vidal; Prashant Valluri; Gustavo R. Anjos

Vol. 97 No. 3 pp. 233--243

Keywords: coalescence, finite element method, Taylor bubbles, two-phase flows, unstructured mesh

ABSTRACT This work aims at presenting a new computational approach to study two and three dimensional two-phase flows and two dimensional coalescence phenomenon using direct numerical simulation. The flows are modeled by...

Conference · 2023 · Anais do CILAMCE 2023 - The XLIV Ibero-Latin American Congress on Computational Methods in Engineering

Computation of Deformable Interface Two-Phase Flows - A Semi-Lagrangian Finite Element Approach

R. A. Vidal; D. B. V. Santos; Gustavo R. Anjos

Porto, Portugal

Conference · 2022 · Anais do 19th Brazilian Congress of Thermal Sciences and Engineering

Axisymmetric Two-Phase Finite Element Simulation Using a Front Tracking Method on an Unstructured Mesh

D. B. V. Santos; Gustavo R. Anjos

Bento Gonçalves, Brazil

Conference · 2021 · Proceedings of 26th International Congress of Mechanical Engineering

Finite Element Simulation for Two-Phase Flow with a Decoupled Fluid Interface

D. B. V. Santos; G.R. Anjos

Florianópolis, Brazil

Conference · 2021 · Proceedings of 8th International Symposium on Advances in Computational Heat Transfer (CHT-21)

Decoupled Mesh Method for Finite Element Simulation of Two-Phase Systems

D. B. V. Santos; G.R. Anjos

Rio de Janeiro, Brazil

Conference · 2020 · Anais do 18th Brazilian Congress of Thermal Sciences and Engineering

Numerical Simulation of Multiphase Flows in the Context of COVID-19/SARS-CoV-2

D. B. V. Santos; G. R. Anjos

Bento Gonçalves, Brazil