Stability Tools for the Spectral-Element Code Nek5000: Application to Jet-in-Crossflow

DOI10.1007/978-3-319-01601-6_28zbMath1426.76511OpenAlexW63515557MaRDI QIDQ5745796

Philipp Schlatter, A. Peplinski, Paul F. Fischer, Dan S. Henningson

Publication date: 31 January 2014

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-01601-6_28

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22)

Related Items (7)

Global stability and optimal perturbation for a jet in cross-flow ⋮ Coulomb-driven electroconvection turbulence in two-dimensional cavity ⋮ Adaptive mesh refinement for steady flows in Nek5000 ⋮ Reinforcement-learning-based control of confined cylinder wakes with stability analyses ⋮ Stability and sensitivity of a cross-flow-dominated Falkner–Skan–Cooke boundary layer with discrete surface roughness ⋮ Linear instability analysis of low- incompressible flow over a long rectangular finite-span open cavity ⋮ Control of linear instabilities by dynamically consistent order reduction on optimally time-dependent modes

Uses Software

• ARPACK
• Nek5000
• SIMSON

Cites Work

• Unnamed Item
• Self-sustained global oscillations in a jet in crossflow
• An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations
• First instability of the flow of shear-thinning and shear-thickening fluids past a circular cylinder
• Hydrodynamic Stability Without Eigenvalues
• Bifurcation and stability analysis of a jet in cross-flow: onset of global instability at a low velocity ratio
• Global stability of a jet in crossflow
• GLOBAL INSTABILITIES IN SPATIALLY DEVELOPING FLOWS: Non-Normality and Nonlinearity
• ARPACK Users' Guide
• Three-dimensional instability in flow over a backward-facing step
• Adjoint systems and their role in the receptivity problem for boundary layers
• Structural sensitivity of the first instability of the cylinder wake
• The use of global modes to understand transition and perform flow control
• Global Linear Instability

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