A fast numerical method for ideal fluid flow in domains with multiple stirrers
From MaRDI portal
Publication:4635055
DOI10.1088/1361-6544/aa99a5zbMath1388.30009arXiv1701.00115OpenAlexW2963761277MaRDI QIDQ4635055
Christopher C. Green, Mohamed M. S. Nasser
Publication date: 13 April 2018
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.00115
General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Incompressible inviscid fluids (76B99) Riemann-Hilbert problems in context of PDEs (35Q15) Schwarz-Christoffel-type mappings (30C30)
Related Items
Computation of conformal invariants ⋮ Numerical computation of the capacity of generalized condensers ⋮ Fast and accurate computation of the logarithmic capacity of compact sets ⋮ Numerical computation of a preimage domain for an infinite strip with rectilinear slits ⋮ Numerical computing of preimage domains for bounded multiply connected slit domains ⋮ SERIES SOLUTION OF LAPLACE PROBLEMS
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical conformal mapping of multiply connected regions onto the second, third and fourth categories of Koebe's canonical slit domains
- Boundary integral equations with the generalized Neumann kernel for Laplace's equation in multiply connected regions
- Numerical conformal mapping of multiply connected regions onto the fifth category of Koebe's canonical slit regions
- Fast solution of boundary integral equations with the generalized Neumann kernel
- A Nyström method for boundary integral equations in domains with corners
- Explicit solution for the potential flow due to an assembly of stirrers in an inviscid fluid
- Rapid solution of integral equations of classical potential theory
- A fast computational method for potential flows in multiply connected coastal domains
- Fast computation of the circular map
- A boundary integral equation for conformal mapping of bounded multiply connected regions
- A computational theory for spiral point vortices in multiply connected domains with slit boundaries
- The Riemann-Hilbert problem and the generalized Neumann kernel on multiply connected regions
- Conformal mappings between canonical multiply connected domains
- A Fast Boundary Integral Equation Method for Conformal Mapping of Multiply Connected Regions
- Hydrodynamic forces on two moving discs
- The irrotational motion generated by two planar stirrers in inviscid fluid
- A boundary integral method for the Riemann–Hilbert problem in domains with corners
- Interaction of two circular cylinders in inviscid fluid
- Numerical Conformal Mapping via a Boundary Integral Equation with the Generalized Neumann Kernel
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- The Numerical Solution of Integral Equations of the Second Kind
- Topological chaos in inviscid and viscous mixers
- Topological fluid mechanics of stirring
- The Schottky–Klein prime function: a theoretical and computational tool for applications
- Iterative solution of linear systems arising from the Nyström method for the double‐layer potential equation over curves with corners
- Linear integral equations
- A fast algorithm for particle simulations
- Fast conformal mapping of multiply connected regions