Branched channel free-streamlines

DOI10.1016/S0045-7825(97)00277-6zbMath0948.76068OpenAlexW2131318269MaRDI QIDQ1818059

W. C. Hassenpflug

Publication date: 26 November 2000

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(97)00277-6

zbMATH Keywords

conformal mappingNewton-Raphson methodJacobian matrixhodograph methodbranch anglesconvolution number algebraElcrat-Trefethen transformationfinite difference quotient matrixplane incompressible potential flowSchwarz-Christoffel-like integralsemi-disk region

Mathematics Subject Classification ID

Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Complex variables methods applied to problems in fluid mechanics (76M40)

Related Items

Smoothed particle hydrodynamics simulations of flow separation at bends ⋮ Potential flow in a semi-infinite channel with multiple sub-channels using the Schwarz-Christoffel transformation

Uses Software

• Schwarz-Christoffel
• SC Toolbox
• SCPACK
• kirch

Cites Work

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• Classical free-streamline flow over a polygonal obstacle
• Applications of conformal mapping to diverging open channel flows
• Convolution number
• Elliptic integrals and the Schwarz-Christoffel transformation
• Free-streamlines
• An investigation of a jet impinging onto a slotted surface
• Revised notation for partial derivatives
• Numerical Computation of the Schwarz–Christoffel Transformation
• Algorithm 756: a MATLAB toolbox for Schwarz-Christoffel mapping
• On free boundaries of an ideal fluid. II