Profile
Ph.D.
Completed
19 Mar 2024
129 pages
Universidade Federal do Rio de Janeiro
Advisor: Anjos, G. R.
Daniel Barbedo Vasconcelos Santos
Finite Element Simulation of Three-Dimensional Two-Phase Flows in Complex Geometries
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
11 publications
Journal articles, conference papers and other records associated with this student.
Publications
Publications
Numerical Investigation of a Gas Bubble in Complex Geometries for Industrial Process Equipment Design
Keywords: two-phase flow, semi-Lagrangian method, Laplace--Beltrami operator, CFD
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...
Numerical Investigation of Gas Bubble Interaction in a Circular Cross-Section Channel in Shear Flow
Keywords: two-phase flow, semi-Lagrangian method, Laplace--Beltrami operator, CFD
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...
Finite Element Simulation of Two-Phase Flows with Heat and Mass Transfer Through a Decoupled Mesh Method
Foz do Iguaçu, Brazil
Keywords: Superheated Fluid, Interface Tracking, CFD, Finite Element Method, Semi-Lagrangian Method
In this work, a description of heat and mass transfer in two phase flows is presented, using a Lagrangian-Eulerian decoupled mesh method, similar to that of front tracking methods. The “one fluid” formulation for the...
Computation of Deformable Interface Two-Phase Flows: A Semi-Lagrangian Finite Element Approach
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...
Three Dimensional Two-Phase Finite Element Simulation Using a Front-Tracking Method
Keywords: Finite Element Method, Two-phase flows, Arbitrary Lagrangian-Eulerian, Oscillating bubble, Laplace-Beltrami
The goal of this research is to accurately depict two-phase dynamics, using axisymmetric finite element numer- ical simulation. To achieve this goal, the incompressible Navier-Stokes equations for two-phase flows, are...
Three Dimensional Finite Element Two-Phase Flow Simulation Using a Front Tracking Method
Florianópolis, Brazil
Keywords: Laplace-Beltrami, Semi-Lagrangian Method, Front Tracking, 3-D CFD modelling
This research aims to accurately simulate two-phase flow using the Finite Element Method along with a Front Tracking method for capturing the fluid interface. This is achieved by solving the Navier-Stokes equations with...
Computation of Deformable Interface Two-Phase Flows - A Semi-Lagrangian Finite Element Approach
Porto, Portugal
Keywords: Two-phase flows, coalescence, Finite Element Method, semi-Lagrangian, unstructured mesh.
This work aims at presenting a computational approach to study two-phase flows and the coalescence phenomenon using direct numerical simulation. The flows are modeled by the incompressible Navier-Stokes equations, which...
Axisymmetric Two-Phase Finite Element Simulation Using a Front Tracking Method on an Unstructured Mesh
Bento Gonçalves, Brazil
Keywords: Two-phase Flow, Gravity Driven Bubble, Oscillating Bubble, Laplace-Beltrami, Decoupled Fluid Interface.
The goal of this research is to accurately depict two-phase dynamics, using axisymmetric finite element numer- ical simulation. To achieve this goal, the incompressible Navier-Stokes equations for two-phase flows, are...
Finite Element Simulation for Two-Phase Flow with a Decoupled Fluid Interface
Florianópolis, Brazil
Keywords: Two-phase Flow, Gravity Driven Bubble, Laplace-Beltrami, Decoupled Fluid Interface.
In this research, finite element numerical simulation is used to describe bubble dynamics in two-phase flows. The accurate simulation of interface dynamics in two-phase flows is of crucial relevance for numerical...
Decoupled Mesh Method for Finite Element Simulation of Two-Phase Systems
Rio de Janeiro, Brazil
Keywords: Finite Element Method, Surface Tension, Two-phase
This paper describes a finite element solution for a two-phase flow problem, where the fluid mesh and the interface mesh are decoupled. One single phase example is shown to validate the finite element code, and two...
Numerical Simulation of Multiphase Flows in the Context of COVID-19/SARS-CoV-2
Bento Gonçalves, Brazil
Keywords: Multi-phase flow, streamfunction-vorticity formulation, BBO equation, particle disperson, finite element method, semi-Lagrangian method
This research aims at investigate the means of propagation of the COVID-19/SARS-CoV-2 between individuals during social contact. A small scale model is proposed to investigate the behavior of salivary droplets between...