scientific article; zbMATH DE number 1416326

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1097-0363(20000115)32:1<105::AID-FLD938>3.0.CO;2-X" /><105::AID-FLD938>3.0.CO;2-X 10.1002/(SICI)1097-0363(20000115)32:1<105::AID-FLD938>3.0.CO;2-XzbMath0979.76048MaRDI QIDQ4943449

Nina Kirchner

Publication date: 16 March 2000

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Galerkin methodvariational formulationplane Poiseuille flowsparse stiffness matrixOrr-Sommerfeld equationbasis functionsspectral discretizationnon-singular matricesintegrated Legendre polynomialssparse mass matrix

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Finite element methods applied to problems in fluid mechanics (76M10) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (7)

Instabilities in free-surface Hartmann flow at low magnetic Prandtl numbers ⋮ Order \(10^4\) speedup in global linear instability analysis using matrix formation ⋮ Spatial heterogeneity in subglacial drainage driven by till erosion ⋮ A spectral approach for the stability analysis of turbulent open-channel flows over granular beds ⋮ A Legendre spectral element method for eigenvalues in hydrodynamic stability ⋮ A spectral Galerkin method for the coupled Orr-Sommerfeld and induction equations for free-surface MHD ⋮ High-order methods for the numerical solution of the BiGlobal linear stability eigenvalue problem in complex geometries

Cites Work

• Unnamed Item
• A matrix method for ordinary differential eigenvalue problems
• Elimination of spurious eigenvalues in the Chebyshev tau spectral method
• SOME REMARKS ON THE COMPUTATION OF THE EIGENVALUES OF LINEAR SYSTEMS
• A practical implementation of spectral methods resistant to the generation of spurious eigenvalues
• Accurate solution of the Orr–Sommerfeld stability equation
• The Stability of Plane Poiseuille Flow
• Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems

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