The Openpipeflow Navier--Stokes Solver

Abstract

Pipelines are used in a huge range of industrial processes involving fluids, and the ability to accurately predict properties of the flow through a pipe is of fundamental engineering importance. Armed with parallel MPI, Arnoldi and Newton--Krylov solvers, the Openpipeflow code can be used in a range of settings, from large-scale simulation of highly turbulent flow, to the detailed analysis of nonlinear invariant solutions (equilibria and periodic orbits) and their influence on the dynamics of the flow.

5 pages, 4 figures

References in corpus (11)

• Travelling waves in pipe flow
• Recurrent motions within plane Couette turbulence
• The rise of fully turbulent flow
• Streamwise-localized solutions at the onset of turbulence in pipe flow
• Minimal seeds for shear flow turbulence: using nonlinear transient growth to touch the edge of chaos
• Ecological collapse and the emergence of traveling waves at the onset of shear turbulence
• Revealing the state space of turbulent pipe flow by symmetry reduction
• Highly-symmetric travelling waves in pipe flow
• The genesis of streamwise-localized solutions from globally periodic travelling waves in pipe flow
• Symmetry reduction in high dimensions, illustrated in a turbulent pipe
• Transition to magnetorotational turbulence in Taylor--Couette flow with imposed azimuthal magnetic field

Cited by in corpus (37)

• Destabilizing turbulence in pipe flow
• Dynamics of viscoelastic pipe flow in the maximum drag reduction limit
• Nonlinear hydrodynamic instability and turbulence in pulsatile flow
• Coarse graining the state space of a turbulent flow using periodic orbits
• The growth mechanism of turbulent bands in channel flow at low Reynolds numbers
• The effect of pulsation frequency on transition in pulsatile pipe flow
• Suppression of turbulence and travelling waves in a vertical heated pipe
• Stabilisation and drag reduction of pipe flows by flattening the base profile
• Heteroclinic path to spatially localized chaos in pipe flow
• Vortex merging and splitting events in viscoelastic Taylor Couette flow
• Subcritical and supercritical bifurcations in axisymmetric viscoelastic pipe flows
• nsCouette -- A high-performance code for direct numerical simulations of turbulent Taylor-Couette flow
• Phase-field simulation of core-annular pipe flow
• Surfing the edge: using feedback control to find nonlinear solutions
• Data-driven state-space and Koopman operator models of coherent state dynamics on invariant manifolds
• Complexity of the laminar-turbulent boundary in pipe flow
• Trigger turbulent bands directly at low Reynolds numbers in channel flow using a moving-force technique
• Geometry of transient chaos in streamwise-localized pipe flow turbulence
• Direct path from turbulence to time-periodic solutions
• Do extreme events trigger turbulence decay? - a numerical study of turbulence decay time in pipe flows
• Designing a minimal baffle to destabilise turbulence in pipe flows
• Upper edge of chaos and the energetics of transition in pipe flow
• Instability of particulate pipe flow
• Dynamics and proliferation of turbulent stripes in plane-Poiseuille and plane-Couette flows
• Propagation speed of turbulent fronts in pipe flow at high Reynolds numbers
• Turbulent puffs in transitional pulsatile pipe flow at moderate pulsation amplitudes
• Dynamics of a Data-Driven Low-Dimensional Model of Turbulent Minimal Pipe Flow
• Stabilising nonlinear travelling waves in pipe flow using time-delayed feedback
• Aging and memory of transitional turbulence
• Modelling the transition from shear-driven turbulence to convective turbulence in a vertical heated pipe
• LES-informed resolvent-based estimation of turbulent pipe flow
• Optimal body force for heat transfer in turbulent vertical heated pipe flow
• Nonlinear optimal perturbation growth in pulsatile pipe flow
• Longitudinal vortices in unsteady Taylor-Couette flow: solution to a 60-year-old mystery
• On nonlinear transitions, minimal seeds and exact solutions for the geodynamo
• Symmetry groups and invariant solutions of plane Poiseuille flow
• Discontinuous transition to shear flow turbulence