3 papers
math.NA2026
Generalized Tadmor Conditions and Structure-Preserving Numerical Fluxes for the Compressible Flow of Real Gases
Robin Klein, Benjamin Sanderse, Pedro Costa +2
We generalize Tadmor's algebraic numerical flux condition for entropy-conservative discretizations of conservation laws to a broader class of secondary structures, i.e. possibly no…
physics.flu-dyn2024
A new temperature evolution equation that enforces thermodynamic vapour-liquid equilibrium in multiphase flows -- application to CO2 modeling
Pardeep Kumar, Benjamin Sanderse, Patricio I. Rosen Esquivel +1
This work presents a novel framework for numerically simulating the depressurization of tanks and pipelines containing carbon dioxide (CO2). The framework focuses on efficient solu…
math.NA2024
Entropy-Stable Model Reduction of One-Dimensional Hyperbolic Systems using Rational Quadratic Manifolds
Robin Klein, Benjamin Sanderse, Pedro Costa +2
In this work we propose a novel method to ensure important entropy inequalities are satisfied semi-discretely when constructing reduced order models (ROMs) on nonlinear reduced man…