Some publications
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• A finite element method for simulating soft active non-shearable rods immersed in generalized Newtonian fluids
  AUSAS, ROBERTO FEDERICO ; GEBHARDT, CRISTIAN GUILLERMO ; BUSCAGLIA, GUSTAVO C.
  Communications in Nonlinear Science and Numerical Simulation, v. 108, p. 106213, 2022. pdf
• A multiscale Robin-coupled implicit method for two-phase flows in high-contrast formations
  ROCHA, FRANCIANE F. ; Sousa, Fabricio S. ; AUSAS, ROBERTO F. ; Buscaglia, Gustavo C. ; PEREIRA, FELIPE
  Journal of Computational Science, v. 60, p. 101592, 2022. pdf
• A sub-grid scale cavitation inception model
  BAPPY, MEHEDI H. ; CARRICA, PABLO M. ; LI, JIAJIA ; MARTIN, J. EZEQUIEL ; VELA-MARTÍN, ALBERTO ; FREIRE, LIVIA S. ; Buscaglia, Gustavo C.
  PHYSICS OF FLUIDS, v. 34, p. 033308, 2022.
• Towards HPC simulations of billion-cell reservoirs by multiscale mixed methods
  JARAMILLO, ALFREDO ; GUIRALDELLO, RAFAEL T. ; PAZ, STEVENS ; AUSAS, ROBERTO F. ; Sousa, Fabricio S. ; PEREIRA, FELIPE ; Buscaglia, Gustavo C.
  COMPUTATIONAL GEOSCIENCES, v. 27, p. 1, 2022. pdf
• A Generalized mathematical representation of the shape of the Wheatley heart valve and the associated static stress fields upon opening and closing
  OLIVEIRA, H L ; MCKEE, S ; BUSCAGLIA, G C ; CUMINATO, J A ; STEWART, I W ; WHEATLEY, D J
  IMA JOURNAL OF APPLIED MATHEMATICS, v. 1, p. 1, 2022.
• An adaptive time stepping algorithm for IMPES with high order polynomial extrapolation
  PAZ, STEVENS ; JARAMILLO, ALFREDO ; GUIRALDELLO, RAFAEL T. ; AUSAS, ROBERTO F. ; Sousa, Fabricio S. ; PEREIRA, FELIPE ; Buscaglia, Gustavo C.
  APPLIED MATHEMATICAL MODELLING, v. 91, p. 1100-1116, 2021.
• A mathematical model of a single seed oleosome
  MEACCI, LUCA ; DI BARI, VINCENZO ; AUSAS, ROBERTO FEDERICO ; Mut, Fernando ; GRAY, DAVID ALISTAIR ; BUSCAGLIA, GUSTAVO C.
  Results in Applied Mathematics, v. 9, p. 100128, 2021.
• Interface spaces based on physics for multiscale mixed methods applied to flows in fractured-like porous media
  ROCHA, FRANCIANE F. ; SOUSA, F. S. ; AUSAS, ROBERTO F. ; PEREIRA, FELIPE ; BUSCAGLIA, G. C.
  COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v. 385, p. 114035, 2021. pdf
• Growth of tumours with stem cells: The effect of crowding and ageing of cells
  MEACCI, LUCA ; PRIMICERIO, MARIO ; BUSCAGLIA, GUSTAVO C.
  PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 570, p. 125841, 2021.
• Multiscale mixed methods for two-phase flows in high-contrast porous media
  ROCHA, FRANCIANE F. ; Sousa, Fabricio S. ; AUSAS, ROBERTO F. ; Buscaglia, Gustavo C. ; PEREIRA, F.
  JOURNAL OF COMPUTATIONAL PHYSICS, v. 409, p. 109316, 2020.
• Velocity postprocessing schemes for multiscale mixed methods applied to contaminant transport in subsurface flows
  GUIRALDELLO, RAFAEL T. ; AUSAS, ROBERTO F. ; Sousa, Fabricio S. ; PEREIRA, FELIPE ; Buscaglia, Gustavo C.
  Computational Geosciences, v. 24, p. 1141-1161, 2020.
• Effect of bubble size on Lagrangian pressure statistics in homogeneous isotropic turbulence
  BAPPY, M H ; VELA-MARTIN, A ; BUSCAGLIA, G C ; CARRICA, P M ; FREIRE, L S
  JOURNAL OF PHYSICS. CONFERENCE SERIES (ONLINE), v. 1522, p. 012002, 2020.
• Pressure statistics of gas nuclei in homogeneous isotropic turbulence with an application to cavitation inception
  BAPPY, MEHEDI H. ; CARRICA, PABLO M. ; VELA-MARTÍN, ALBERTO ; FREIRE, LIVIA S. ; Buscaglia, Gustavo C.
  PHYSICS OF FLUIDS, v. 32, p. 095107, 2020.
• Simulating squirmers with volumetric solvers
  PAZ, STEVENS ; Buscaglia, Gustavo C.
  Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 42, p. 547, 2020. pdf
• A new two-component approach in modeling red blood cells
  MEACCI, LUCA ; Buscaglia, Gustavo C. ; Mut, Fernando ; AUSAS, ROBERTO F. ; PRIMICERIO, M.
  COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS, v. 11, p. 55-71, 2020.
• Lagrangian statistics of pressure fluctuation events in homogeneous isotropic turbulence
  BAPPY, M. ; CARRICA, P. ; BUSCAGLIA, G.C.
  Physics of Fluids, v. 31, p. 085111, 2019. pdf



• Interface spaces for the Multiscale Robin Coupled Method in reservoir simulation
  GUIRALDELLO, R. ; AUSAS, R. ; SOUSA, F. ; PEREIRA, F. ; BUSCAGLIA, G.C.
  Mathematics and Computers in Simulation, v. 164, p. 103-119, 2019. pdf



• An extended Elrod-Adams model to account for backpressure and blow-by inception
  JARAMILLO, A. ; BUSCAGLIA, G.C.
  Tribology International, v. 140, p. 105873, 2019. pdf



• A stable numerical strategy for Reynolds-Rayleigh-Plesset coupling
  JARAMILLO, A. ; BUSCAGLIA, G.C.
  Tribology International, v. 130, p. 191-205, 2019. pdf



• The Multiscale Robin Coupled Method for flows in porous media
  GUIRALDELLO, R. ; AUSAS, R. ; SOUSA, F. ; PEREIRA, F. ; BUSCAGLIA, G.C.
  Journal of Computational Physics, v. 355, p. 1-21, 2017. pdf



• Down to the roughness scale assessment of piston-ring/liner contacts
  CHECO, H. ; JARAMILLO, A. ; AUSAS, R. ; JAI, M. ; BUSCAGLIA, G.C.
  IOP Conf. Series: Materials Sci. and Engng., v. 174, p. 012035, 2017. pdf
• A central scheme for advecting scalars by velocity fields obtained from Finite Volume multiphase incompressible solvers
  MARQUEZ DAMIAN, S. ; NIGRO, N. ; BUSCAGLIA, G.C.
  Applied Mathematical Modelling, v. 40, p. 6934-6955, 2016. pdf



• The lubrication approximation of the friction force for the simulation of measured surfaces
  CHECO, H. ; JARAMILLO, A. ; AUSAS, R. F. ; BUSCAGLIA, G.C.
  Tribology International, v. 97, p. 390-399, 2016. pdf
• Continuous and discrete inf-sup conditions for surface incompressibility of a deformable continuum
  BUSCAGLIA, G. C.
  arXiv:1507.07537. pdf
• Spurious transients of projection methods in microflow simulations
  SOUSA, F. ; OISHI, C. ; BUSCAGLIA, G. C.
  Computer Methods in Applied Mechanics and Engineering, v. 285, p. 659-693, 2015. pdf
• A semi-implicit finite element method for viscous lipid membranes
  RODRIGUES, D. S. ; AUSAS, R. F. ; MUT, F. ; BUSCAGLIA, G. C.
  Journal of Computational Physics, v. 298, p. 565-584, 2015. pdf



• Texture-induced cavitation bubbles and friction reduction in the Elrod-Adams model
  CHECO, H. ; JARAMILLO, A. ; JAI, M. ; BUSCAGLIA, G. C.
  Journal of Engineering Tribology, v. 229, p. 478-492, 2015. pdf



• High-order ALE schemes with applications in capillary flows
  MONTEFUSCOLO, F. ; SOUSA, F. ; BUSCAGLIA, G. C.
  Journal of Computational Physics, v. 278, p. 133-147, 2014. pdf



• Approximation of the multi-dimensional Stokes system with embedded pressure discontinuities
  BUSCAGLIA, G. C. ; RUAS, V.
  Advances in Computational Mathematics, v. 41, p. 599-634, 2014. pdf
• Moving textures: Simulation of a ring sliding on a textured liner
  CHECO, H. ; AUSAS, R. ; JAI, M. ; CADALEN, J.-P. ; CHOUKROUN, F. ; BUSCAGLIA, G. C.
  Tribology International, v. 72, p. 131-142, 2014. pdf
• Finite element solution of the Stokes system with a Zienkiewicz type N-simplex
  BUSCAGLIA, G. C. ; RUAS, V.
  Computer Methods in Applied Mechanics and Engineering, v. 272, p. 83-99, 2014. pdf
• A new cavitation model in lubrication: The case of two-zone cavitation
  BUSCAGLIA, G. C. ; CIUPERCA, I. ; DALISSIER, E. ; JAI, M.
  Journal of Engineering Mathematics, v. 83, p. 57-79, 2013. pdf
• Finite element methods for the Stokes system with interface pressure discontinuities
  BUSCAGLIA, G. C. ; RUAS, V.
  IMA Journal of Numerical Analysis, to appear (available online December 2013). pdf
• Conservative finite volume discretization of a new cavitation model for piston-ring lubrication
  AUSAS, R. ; JAI, M. ; CIUPERCA, I. ; BUSCAGLIA, G. C.
  Tribology International, v. 57, p. 54-66, 2013. pdf
• A posteriori estimate and asymptotic partial domain decomposition
  BUSCAGLIA, G. C. ; POUSIN, J. ; SLIMANI, K.
  Applicable Analysis, v. 92, issue 12, 2013. pdf
• A black-box decomposition approach for coupling heterogeneous components in hemodynamics simulations
  BLANCO, P. J. ; LEIVA, J. S. ; BUSCAGLIA, G. C.
  International Journal for Numerical Methods in Biomedical Engineering, v. 29, p. 54-66, 2013. pdf



• A finite element method for viscous membranes
  TASSO, I. V. ; BUSCAGLIA, G. C.
  Computer Methods in Applied Mechanics and Engineering, v. 255, p. 226-237, 2013. pdf



• Numerical assessment of stability of interface discontinuous finite element pressure spaces
  SOUSA, F.; AUSAS, R.; BUSCAGLIA, G. C.
  Computer Methods in Applied Mechanics and Engineering, v. 245-246, p. 63-74, 2012. pdf
• Black-box decomposition methods to model blood flow in the cardiovascular system using dimensionally-heterogeneous models
  BLANCO, P. J. ; LEIVA, J. S. ; BUSCAGLIA, G. C.
  Chapter 3 in Scientific Computing Applied to Medicine and Healthcare (R. Feijoo, A. Ziviani, P. Blanco, eds.), ISBN 978-85-99961-17-9, 2012. pdf



• A new enrichment space for the treatment of discontinuous pressures in multi-fluid flows
  AUSAS, R.; BUSCAGLIA, G. C.; IDELSOHN, S. R.
  International Journal for Numerical Methods in Fluids, v. 70, p. 829-850, 2012. pdf
• Interpolation estimate for a finite element space with embedded discontinuities.
  BUSCAGLIA, G. C. ; AGOUZAL, A.
  IMA Journal of Numerical Analysis, v. 32, p. 672-686, 2012. pdf
• Variational formulations for surface tension, capillarity and wetting
  BUSCAGLIA, G. C.; AUSAS, R.
  Computer Methods in Applied Mechanics and Engineering, v. 200, p. 3011-3025, 2011. pdf
• Partitioned analysis for dimensionally-heterogeneous hydraulic networks
  LEIVA, J. S. ; BLANCO, P. J. ; BUSCAGLIA, G. C.
  Multiscale Modeling and Simulation (SIAM), v. 9, p. 872-903, 2011. pdf
• Black-box decomposition approach for computational hemodynamics: One-dimensional models
  BLANCO, P. J. ; LEIVA, J. S. ; FEIJOO, R. A. ; BUSCAGLIA, G. C.
  Computer Methods in Applied Mechanics and Engineering, v. 200, p. 1389-1405, 2011. pdf
• Resampling strategies for deforming MLS surfaces.
  GOIS, J. P. ; BUSCAGLIA, G. C.
  Computer Graphics Forum, v. 29, p. 1969-1980, 2010. pdf
• A geometric mass-preserving redistancing scheme for the level set function.
  AUSAS, R.; DARI, E.; BUSCAGLIA, G .
  International Journal for Numerical Methods in Fluids, v. 65, p. 989-1010, 2010. pdf
• An improved finite element space for discontinuous pressures.
  AUSAS, R.; SOUSA, F. ; BUSCAGLIA, G .
  Computer Methods in Applied Mechanics and Engineering, v. 131, p. 1019-1031, 2010. pdf
• Iterative strong coupling of dimensionally-heterogeneous models.
  LEIVA, J.; BLANCO, P. ; BUSCAGLIA, G .
  International Journal for Numerical Methods in Engineering, v. 81, p. 1558-1580, 2009. pdf
• A discontinuous-Galerkin-based immersed boundary method with nonhomogeneous boundary conditions and its application to elasticity.
  RANGARAJAN, R.; LEW, A. ; BUSCAGLIA, G .
  Computer Methods in Applied Mechanics and Engineering, v. 198, p. 1513-1534, 2009. pdf
• A mass-conserving algorithm for dynamical lubrication problems with cavitation.
  AUSAS, R.; JAI, M. ; BUSCAGLIA, G .
  ASME Journal of Tribology, v. 131, pages from 031702-1 to 031702-7, 2009.
• Front tracking with moving-least-squares surfaces.
  GOIS, J ; NAKANO, A ; NONATO, L ; BUSCAGLIA, G .
  Journal of Computational Physics, v. 227, p. 9643-9669, 2008.
• A discontinuous-Galerkin-based immersed boundary method.
  LEW, A ; BUSCAGLIA, G .
  International Journal for Numerical Methods in Engineering, v. 76, p. 427-454, 2008.
• 2D stream hydrodynamic, sediment transport and bed morphology model for angineering applications
  ABAD, J. ; BUSCAGLIA, G. C. ; GARCIA, M. H.
  Hydrological Processes, v. 22, p. 1443-1459, 2008.
• Existence of equilibria in articulated bearings
  BUSCAGLIA, G. C. ; CIUPERCA, I. ; HAFIDI, I. ; JAI, M.
  Journal of Mathematical Analysis and Applications, v. 328, p. 24-45, 2007.
• On the numerical solution of the time-dependent Ginzburg-Landau equations in multiply connected domains.
  G. Buscaglia, C. Bolech and A. López
  Connectivity&Superconductivity, J. Berger and J. Rubinstein (Eds.), Springer.