Variational principles and generalized variational principles for fully 3-D transonic flow with shocks in a turbo-rotor. I: Potential flow

DOI10.1007/BF01170808zbMath0814.76054OpenAlexW2056403149MaRDI QIDQ1194837

S. Singh

Publication date: 4 October 1992

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01170808

zbMATH Keywords

Bateman's principlefunctional variationnatural boundary condition

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Transonic flows (76H05) Variational methods applied to problems in fluid mechanics (76M30)

Related Items (5)

A unified variational theory of hybrid problems for fully 3-D transonic rotor-flow with shocks. I: Potential flow ⋮ Variable-domain variational finite element method: A general approach to free/moving boundary problems in heat and fluid flow ⋮ Variational principles and generalized variational principles for fully 3-D transonic flow with shocks in a turbo-rotor. II: Rotational flow ⋮ Derivation and transformation of variational principles with emphasis on inverse and hybrid problems in fluid mechanics: A systematic approach ⋮ A variable-domain variational formulation of inverse problem \(I_A\) of 2-D unsteady transonic flow around oscillating airfoils

Cites Work

• On the stability of viscous fluid motions
• Variational principles for the transonic airfoil problem
• Finite-element analysis of three-dimensional potential flow in turbomachines
• Artificial Compressibility Methods for Numerical Solutions of Transonic Full Potential Equation
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