New Godunov-type method for simulation of weakly compressible pipeline flows with allowance for elastic deformation of the walls

DOI10.1134/S096554251810010XzbMath1451.76085OpenAlexW2899711649WikidataQ128992594 ScholiaQ128992594MaRDI QIDQ1757735

S. I. Sumskoi

Publication date: 15 January 2019

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s096554251810010x

zbMATH Keywords

Godunov-type methodwater hammertransient processespipeline systemselastic pipesdeformation of pipesvelocity of waves in pipelines filled with a weakly compressible fluid

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite difference methods applied to problems in fluid mechanics (76M20) Mathematical modeling or simulation for problems pertaining to fluid mechanics (76-10)

Cites Work

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• A conservative model for unsteady flows in deformable closed pipes and its implicit second-order finite volume discretisation
• An exact Riemann solver and a Godunov scheme for simulating highly transient mixed flows
• Application of the centre implicit method for investigation of pressure transients in pipelines
• Two-dimensional analysis of pressure transients in pipelines
• Boundary condition treatment in 2×2 systems of propagation equations
• An investigation of pressure transients in pipelines with two‐phase bubbly flow
• A fast Godunov method for the water-hammer problem

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