Conformal-mapping-based coordinate generation method for channel flows

DOI10.1016/0021-9991(85)90178-0zbMath0588.76018OpenAlexW2080025265MaRDI QIDQ1073654

J. M. Floryan

Publication date: 1985

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(85)90178-0

zbMATH Keywords

iteration schememethod of successive approximationshigher-order accuracychannel of an arbitrary shapechannel-type configurationsconformal-mapping-based coordinate generation method

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Basic methods in fluid mechanics (76M99)

Related Items

Conformal-mapping-based coordinate generation method for flows in periodic configurations ⋮ Numerical computation of Schwarz-Christoffel transformation for simply connected unbounded domain ⋮ Water waves over a variable bottom: a non-local formulation and conformal mappings ⋮ Shape factor and shape optimization for a periodic array of isothermal pipes ⋮ Elliptic integrals and the Schwarz-Christoffel transformation ⋮ Numerical computation of Muskhelishvili's integral equation in plane elasticity ⋮ Effects of wall vibrations on channel flows ⋮ The localization length of randomly scattered water waves ⋮ The generation of an orthogonal grid by the use of a boundary integral technique ⋮ Heat conduction in a solid slab embedded with a pipe of general cross-section: shape factor and shape optimization ⋮ Schwarz-Christoffel mappings: A general approach

Cites Work

• Conformal mappings for internal viscous flow problems
• Boundary-fitted coordinate systems for numerical solution of partial differential equations. A review
• Conformal grid generation
• Application of curvilinear coordinate generation techniques to the computation of internal flows
• Solution of viscous internal flows on curvilinear grids generated by the Schwarz-Christoffel transformation
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