Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
September 17, 2026ESAIM Mathematical Modelling and Numerical AnalysisOpen Access

Mathematical modelling of one-way pressure-activated valves for gas

View Full Paper
Ask AI
Bookmark
Share

Authors

CDCarlotta DonadelloAGAlice GauthierURUlrich Razafison

Discussion

Loading...

Member takes

Overview

Mathematical modeling study demonstrates solver-dependent coherence and chattering during gas transport across pressure-activated valves, highlighting numerical instabilities in pipe couplings.

Key Points

  • Formulate a rigorous mathematical framework to model gas flow across one-way, pressure-activated valves joining two pipes governed by the one-dimensional isothermal Euler system.
  • Coupled pipe domains using one-dimensional isothermal Euler equations alongside coupling Riemann solvers designed to maximize or minimize valve opening.
  • Evaluated theoretical properties of the solvers, emphasizing coherence and L1_loc-continuity under varying initial data and valve parameters.
  • Conducted numerical simulations using the Glimm scheme to investigate coupling behavior and valve dynamics.
  • Identified two distinct coupling Riemann solvers representing extremal opening states, revealing a lack of mathematical coherence in certain solver formulations.
  • Demonstrated that coupling incoherence corresponds directly to the physical phenomenon of rapid valve chattering.
  • Observed via numerical experiments that incoherent couplings trigger significant numerical instabilities dictated by specific valve parameters.

Cite This Study

Donadello et al. (2026) studied this question.

synapsesocial.com/papers/6aabb5fd5f706d05830e479ahttps://doi.org/10.1051/m2an/2026076
View Full Paper
Ask AI
Bookmark
Share