Publications and manuscripts

Publications

Peer-reviewed papers, manuscripts under consideration, and technical reports in applied mathematics, fluid dynamics, stochastic filtration, porous media, and network-based modeling.

Peer-reviewed journal articles

Listed in reverse chronological order.

  1. Stochastic Modeling of Filtration with Sieving in Graded Pore Networks

    B. Gu, P. Sanaei, L. Kondic, and L. J. Cummings

    Journal of Fluid Mechanics, 1035, A28, 2026.

    Stochastic membrane-filtration model combining adsorption, sieving, graded pore networks, and particle-driven blocking.

  2. Transient Interfracture Permeability Evolution Generated by Thermal-Carbonaceous Reaction Kinetics in Aquifer Thermal Storage Applications

    B. Gu, B. S. Tilley, and T. Baumann

    Mathematical Geosciences, 2026.

    Reactive pore-scale model for coupled flow, heat transport, calcium transport, and reaction-driven permeability evolution in aquifer thermal energy storage.

  3. Filtration in Pore Networks

    L. J. Cummings, B. Gu, and L. Kondic

    Annual Review of Fluid Mechanics, 58, 2026.

    Review of mathematical and computational models for filtration in pore-network representations.

  4. Influence of Topology on Performance of Pore Networks in Membrane Filters

    M. Illingworth, B. Gu, L. Kondic, and L. J. Cummings

    Physical Review E, 113, 024301, 2026.

    Graph-theoretic study of how pore-network topology influences filtration performance.

  5. Fractal Dimension of Non-Newtonian Hele-Shaw Flow Subject to Saffman-Taylor Instability

    J. Adriazola, B. Gu, L. Kondic, and L. J. Cummings

    Physical Review E, 110, 065107, 2024.

    Study of fractal structure in non-Newtonian viscous fingering dynamics.

  6. Flow through Pore-Size Graded Membrane Pore Networks

    B. Gu, L. Kondic, and L. J. Cummings

    Physical Review Fluids, 8, 044502, 2023.

    Network model for pressure-driven flow through pore-size graded membrane structures.

  7. Network-Based Membrane Filters: Influence of Network and Pore Size Variability on Filtration Performance

    B. Gu, L. Kondic, and L. J. Cummings

    Journal of Membrane Science, 657, 120668, 2022.

    Computational study of how network structure and pore-size variability affect membrane filtration.

  8. A Graphical Representation of Membrane Filtration

    B. Gu, L. Kondic, and L. J. Cummings

    SIAM Journal on Applied Mathematics, 82, 950–975, 2022.

    Graph-based formulation of membrane filtration and its evolving network structure.

  9. On the Influence of Pore Connectivity on Performance of Membrane Filters

    B. Gu, D. R. Renaud, P. Sanaei, L. Kondic, and L. J. Cummings

    Journal of Fluid Mechanics, 902, A5, 2020.

    Study of pore connectivity and its effect on membrane-filter performance.

Preprints, Manuscripts Under Consideration, and Work in Progress

  1. Source-Induced Reflection in Balanced Shallow-Water Networks

    B. Gu, C. Norton, A. Nachbin

    arXiv:2607.02581; submitted to Physical Review E (2026).

    shallow-water waves · metric graphs · scattering · network balance

  2. Cell Proliferation in a Network Model of Tissue Engineering Scaffolds

    J. Sokolik, B. Gu, P. Sanaei

    Submitted to SIAM Journal on Life Sciences (2026).

    tissue engineering · scaffold networks · cell proliferation · transport

  3. A Spectral Representation of Nonlinear Dynamics on Networks with Applications in Reactive Transport

    B. Gu, B. S. Tilley

    In progress.

    spectral methods · nonlinear network dynamics · reactive transport · geothermal systems

Technical reports