An accurate finite difference scheme for the wave instability problem

DOI10.1016/S0045-7825(99)00447-8zbMath0998.76057MaRDI QIDQ1595362

Basem S. Attili

Publication date: 24 November 2002

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesfinite difference schemedirect methodBlasius flowwave instabilityeffect of transverse velocitynonparallel main flow velocity distributionThomas transformation

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Stability and instability of nonparallel flows in hydrodynamic stability (76E09)

Cites Work

• Unnamed Item
• A note on the linear instability of the Blasius flow
• NEW FINITE-DIFFERENCE SOLUTION METHODS FOR WAVE INSTABILITY PROBLEMS
• Multiple shooting and the calculation of some types of singularities in b.v.p.'s
• Finite amplitude steady waves in the Blasius boundary layer
• The effect of mainflow transverse velocities in linear stability theory
• Numerical simulations of multifrequency instability-wave growth and suppression in the Blasius boundary layer
• The Stability of Plane Poiseuille Flow

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