Mathematical aspect of the stream-function equations of compressible turbomachinery flows and their finite element approximations using optimal control

DOI10.1016/0045-7825(83)90005-1zbMath0509.76071OpenAlexW2006975534MaRDI QIDQ1838890

Ai-xiang Huang, Kai-Tai Li

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0045-7825(83)90005-1

zbMATH Keywords

stream functiontensor analysissemi-geodesic coordinate systemturbomachinearbitrary stream surface

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Optimality conditions for problems involving ordinary differential equations (49K15) Basic methods in fluid mechanics (76M99)

Related Items (6)

Dimension splitting algorithm for a three-dimensional elliptic equation ⋮ The dimension split element-free Galerkin method for three-dimensional potential problems ⋮ A dimension split method for the 3-D compressible Navier-Stokes equations in turbomachine ⋮ Adaptive dimension splitting algorithm for three-dimensional elliptic equations ⋮ A dimensional splitting method for the linearly elastic shell ⋮ Optimal shape design for blade's surface of an impeller via the Navier-Stokes equations

Cites Work

• Unnamed Item
• On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods. I. Least square formulations and conjugate gradient solution of the continuous problems
• A finite element method for the axisymmetric flow computation in a turbomachine

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