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Publications and preprints
Miscellaneous
(2024) What is the gradient of a scalar function defined on a subspace of square matrices ? Indian Journal of Pure & Applied Mathematics.
(2022) What is the gradient of a scalar function of a symmetric matrix ? Indian Journal of Pure & Applied Mathematics.
(2015) Flow of “stress power-law” fluids between parallel rotating discs with distinct axes. International Journal of Non-Linear Mechanics.
Reduced Order Models, Simulation and Optimization of flow in network pipeline systems
(2024) On the Existence of Steady-State Solutions to the Equations Governing Fluid Flow in Networks. IEEE Control Systems Letters.
(2024) Modeling and Optimization of Steady Flow of Natural Gas and Hydrogen Mixtures in Pipeline Networks. International Journal of Hydrogen Energy.
(2023) Relaxations of the Steady Optimal Gas Flow Problem for a Non-Ideal Gas Arxiv.
(2022) Numerical Solution of the Steady-State Network Flow Equations for a Non-Ideal Gas. IEEE Transactions on Control of Network Systems.
(2021) Demand Response Analogues for Residential Loads in Natural Gas Networks. IEEE Access.
(2021) Operation of Natural Gas Pipeline Networks With Storage Under Transient Flow Conditions. IEEE Transactions on Control Systems Technology.
Reduced Order Models and computations for flow in Discrete Fracture Networks
(2021) A machine learning framework for rapid forecasting and history matching in unconventional reservoirs. Scientific Reports.
(2020) Machine learning techniques for fractured media. In: Machine Learning in Geociences. Ed. by B.Moseley & L. Krischer. Advances in Geophysics. Elsevier.
(2020) Towards real-time forecasting of natural gas production by harnessing graph theory for stochastic discrete fracture networks. Journal of Petroleum Science & Engineering.
(2020) Transient flow modelling in fractured media using graphs. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics.
(2020) Physics-informed machine learning for backbone identification in discrete fracture networks. Computational Geosciences.
(2019) Matrix Diffusion in Fractured Media: New Insights Into Power-Law Scaling of Breakthrough Curves. Geophysical Research Letters.
(2019) Model reduction for fractured porous media: a machine learning approach for identifying main flow pathways. Computational Geosciences.
(2018) Robust system size reduction of discrete fracture networks: a multi-fidelity method that preserves transport characteristics. Computational Geosciences.
(2018) Identifying Backbones in Three-Dimensional Discrete Fracture Networks: A Bipartite Graph-Based Approach. Multiscale Modeling & Simulation.
(2018) Advancing Graph-Based Algorithms for Predicting Flow and Transport in Fractured Rock. Water Resources Research.
(2018) Extracting Hydrocarbons From Shale: An Investigation of the Factors That Influence the Decline and the Tail of the Production Curve. Water Resources Research.
Numerical Methods
(2018) Fast Ewald summation for Green’s function of Stokes flow in a half-space. Research in the Mathematical Sciences.
(2018) Flux formulation of parabolic equations with highly heterogeneous coefficients. Journal of Computational and Applied Mathematics.
(2016) Multiscale direction-splitting algorithms for parabolic equations with highly heterogeneous coefficients. Computers and Mathematics with Applications.
(2012) A stabilized mixed formulation for unsteady Brinkman equation based on the method of horizontal lines. International Journal for Numerical Methods in Fluids.
Pressure-dependent viscosity
(2016) A Generalized Darcy-Dupuit-Forchheimer Model with Pressure-Dependent Drag Coefficient for Flow Through Porous Media Under Large Pressure Gradients. Transport in Porous Media.
(2016) On the flow of fluids through inhomogeneous porous media due to high pressure gradients. International Journal of Non-Linear Mechanics.
(2014) Flow Of Fluids Through Porous Media Due To High Pressure Gradients: Part 2 - Unsteady Flows. Journal of Porous Media.
(2014) A thermodynamic basis for the derivation of the Darcy, Forchheimer and Brinkman models for flows through porous media and their generalizations. International Journal of Non-Linear Mechanics.
(2013) Flow Of A Fluid Through A Porous Solid Due To High Pressure Gradients. Journal of Porous Media.
(2012) Role of pressure dependent viscosity in measurements with falling cylinder viscometer. International Journal of Non-Linear Mechanics.
(2010) A note on the flow of a fluid with pressure-dependent viscosity in the annulus of two infinitely long coaxial cylinders. Applied Mathematical Modelling.
(2009) Study of a variant of Stokes’ first and second problems for fluids with pressure dependent viscosities. International Journal of Engineering Science.