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math.NA2024
Hierarchical Network Partitioning for Solution of Potential-Driven, Steady-State Nonlinear Network Flow Equations
Shriram Srinivasan, Kaarthik Sundar
The solution of potential-driven steady-state flow in large networks is a task which manifests in various engineering applications, such as transport of natural gas or water throug…
math.NA2023
On the Existence of Steady-State Solutions to the Equations Governing Fluid Flow in Networks
Shriram Srinivasan, Nishant Panda, Kaarthik Sundar
The steady-state solution of fluid flow in pipeline infrastructure networks driven by junction/node potentials is a crucial ingredient in various decision-support tools for system…