Numerical solution of non-isothermal non-adiabatic flow of real gases in pipelines

DOI10.1016/j.jcp.2016.07.020zbMath1415.76463OpenAlexW2480702676MaRDI QIDQ2424419

Xián López, Alfredo Bermúdez, María Elena Vázquez-Cendón

Publication date: 24 June 2019

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2016.07.020

zbMATH Keywords

finite volume methodwell-balanced schemesnonlinear hyperbolic systems with sourcesEuler equations with gravitygas flow in pipelines

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (13)

A finite-volume approach for compressible single- and two-phase flows in flexible pipelines with fluid-structure interaction ⋮ Finite volume methods for multi-component Euler equations with source terms ⋮ Numerical simulation of bed load and suspended load sediment transport using well-balanced numerical schemes ⋮ Treating network junctions in finite volume solution of transient gas flow models ⋮ Some Case Studies in Environmental and Industrial Mathematics ⋮ The free piston problem for pressureless Euler equations under the gravity ⋮ Finite element solution of isothermal gas flow in a network ⋮ Constructing a Godunov-type scheme for the model of a general fluid flow in a nozzle with variable cross-section ⋮ Modelling compressors, resistors and valves in finite element simulation of gas transmission networks ⋮ Capturing Near-Equilibrium Solutions: A Comparison between High-Order Discontinuous Galerkin Methods and Well-Balanced Schemes ⋮ Reprint of: ``Finite volume methods for multi-component Euler equations with source terms ⋮ A van Leer-type numerical scheme for the model of a general fluid flow in a nozzle with variable cross section ⋮ A Well Balanced Finite Volume Scheme for General Relativity

Uses Software

• HE-E1GODF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Well-balanced schemes for the Euler equations with gravitation
• Optimal structure of gas transmission trunklines
• Continuum thermomechanics.
• Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks
• Transient flow in natural gas pipeline - the effect of pipeline thermal model
• Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
• Upwind methods for hyperbolic conservation laws with source terms
• High order well-balanced WENO scheme for the gas dynamics equations under gravitational fields
• A three-dimensional multidimensional gas-kinetic scheme for the Navier-Stokes equations under gravitational fields
• Mixed integer models for the stationary case of gas network optimization
• Combination of Nonlinear and Linear Optimization of Transient Gas Networks
• Evaluating Gas Network Capacities
• Flow control in gas networks: Exact controllability to a given demand
• GODUNOV-TYPE SCHEMES FOR HYPERBOLIC SYSTEMS WITH PARAMETER-DEPENDENT SOURCE: THE CASE OF EULER SYSTEM WITH FRICTION
• Gas Pipeline Models Revisited: Model Hierarchies, Nonisothermal Models, and Simulations of Networks
• A Well-Balanced Symplecticity-Preserving Gas-Kinetic Scheme for Hydrodynamic Equations under Gravitational Field
• A mixed integer approach for time-dependent gas network optimization
• A new model for gas flow in pipe networks
• Optimal Control in Networks of Pipes and Canals
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• A Discrete Optimization Approach to Large Scale Supply Networks Based on Partial Differential Equations
• A Second Order Well-Balanced Finite Volume Scheme for Euler Equations with Gravity

This page was built for publication: Numerical solution of non-isothermal non-adiabatic flow of real gases in pipelines