Ricardo Leite Martins Bazarin: Academic Documentation (05/September/2025 - 23/January/2026)

Mechanical Engineer, graduated from the Federal Technological University of Paraná (UTFPR), Guarapuava/🇧🇷 campus. He holds both a master’s degree and a doctorate in the Thermal Sciences area from the Graduate Program in Mechanical and Materials Engineering at UTFPR, Curitiba campus. He has participated in research groups on Porous Media and Rheology, where he developed work in numerical modeling applied to Thermal Sciences and Fluid Mechanics, with emphasis on the use and development of the Lattice Boltzmann Method. Currently, he is a researcher at the Federal University of Santa Catarina (UFSC), specializing in digital rock simulation using the Lattice Boltzmann Method on High-Performance Computing (HPC) systems.

• 🔗 Curriculum Latets (Brazilian Academic Curriculum): http://lattes.cnpq.br/4208039384284520

• 💻 GitHub Page: https://github.com/Ricardoleite

• 👓 Google Scholar: https://scholar.google.com.br/citations

Articles Published in Periodics:

• 2021-Boundary Effects on the Tortuosity and Permeability of Idealized Porous Media

  • Authors: Bazarin, De Lai, Naaktgeboren, Junqueira.

  • Area: (Porous media fluid-flow) Single-phase porous properties characterization in fractal porous media

• 2021-Moments-based method for boundary conditions in the lattice Boltzmann framework: A comparative analysis for the lid driven cavity flow

  • Authors: Bazarin, Philippi, Randles, Hegele Jr.

  • Area: (Boundary conditions modeling)

• 2024-Improved lattice Boltzmann model for immiscible multicomponent systems with high viscosity gradients at the interface

  • Authors: Bazarin, Naaktgeboren, Junqueira, Philippi, Hegele Jr.

  • Area: (Multicomponent/multiphase modeling)Numerical modeling for multicomponent fluid-flow

• 2025-Lattice Boltzmann method assessment for the Buckley–Leverett equation: Extension to dynamic capillary effect

  • Authors: Bazarin, dos Santos, Siebert.

  • Area: (Porous media fluid-flow - Multicomponent/multiphase modeling) Numerical modeling of multicomponent/multiphase flow in porous-continuous porous media.

  • Suplemetar Materials - C++ code of lattice Boltzmann simulation presented.

List of lattice-Boltzmann Benchmarked Works

Academic Material:

Porous Media - Multiphase Flow in Porous Continuous Porous Media:

• Introdution
• Mass Balance for two-fluids (Continuous Porous Media)

Lattice Boltzmann Method - Application to Different Partial differential Equation:

• Diffusive Equation
• Poisson Equation (Steady-State Diffusive Equation)
• Convective Equation (Transport Equation)
• Convective-Diffusive Equation
• Difference Finite Scheme of Diffusive Equation derived from Lattice Boltzmann
• Difference Finite Scheme derived from MRT Lattice Boltzmann for Convective-Diffusive Equation
• Extra::Avoiding Diffusive effect in Convective Equation (Unfinished) - Variable Lattice Sound Sped
• Conteúdo - Introdução aos Métodos de Lattice Boltzmann e Differenças Finitas

References:

• Citations

Appendix:

• Boundary Conditions: Deduction for the Lattice D2Q5 - Poisson Equation
• Sympy code for FDM expansion of LBM diffusive equation
• Sympy code for FDM expansion of LBM diffusive equation up to Fourth-order
• Sympy code for FDM expansion of LBM diffusive equation up to Sixth-order
• Introdution for Transport Equations