Numerical solution of eigenvalue problems using spectral techniques

DOI10.1016/0021-9991(92)90237-SzbMath0757.76052OpenAlexW1986732877MaRDI QIDQ1195436

S. Singh

Publication date: 23 November 1992

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

Full work available at URL: https://doi.org/10.1016/0021-9991(92)90237-s

zbMATH Keywords

linear stabilityPoiseuille flowinterfacial conditionsinelastic power law fluidsspectral Chebyshev and pseudospectral Chebyshev methods

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Multiphase and multicomponent flows (76T99) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (6)

Turbulent drag reduction in channel flow with viscosity stratified fluids ⋮ A Chebyshev collocation method for solving two-phase flow stability problems ⋮ Instability of gravity-driven free-surface flow past a deformable elastic solid ⋮ The origin and nature of spurious eigenvalues in the spectral tau method ⋮ Formulation and computational issues for stability of two-layer inelastic fluids ⋮ Elastically induced turbulence in Taylor–Couette flow: direct numerical simulation and mechanistic insight

Cites Work

• Unnamed Item
• Interfacial stability and deformation of two stratified power law fluids in plane Poiseuille flow. I: Stability analysis
• The compound matrix method for ordinary differential systems
• A numerical method for linear two-point boundary-value problems using compound matrices
• Linear stability of plane Poiseuille flow of two superposed fluids
• Spectral Calculations of One-Dimensional Inviscid Compressible Flows
• Instability due to viscosity stratification
• Accurate solution of the Orr–Sommerfeld stability equation

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