Application of multigrid methods for integral equations to two problems from fluid dynamics

DOI10.1016/0021-9991(82)90061-4zbMath0505.76023OpenAlexW2037987121MaRDI QIDQ1836540

H. Schippers

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-9991(82)90061-4

zbMATH Keywords

multigrid methodsimplicit techniquesflow around bodiesboundary integral equation of second kindfirst- order panel methodnonsparse systems of equationsoscillating disk flowvon Kármán similarity transformations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Numerical methods for integral equations (65R20) Navier-Stokes equations for incompressible viscous fluids (76D05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Basic methods in fluid mechanics (76M99)

Related Items (3)

Iterative scheme of integral and integro-differential equations using Daubechies wavelets new transform method ⋮ Conjugate gradient methods for the solution of boundary integral equations on a piecewise smooth boundary ⋮ Multigrid methods for boundary integral equations

Cites Work

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• On the regularity of the principal value of the double-layer potential
• Non-unique solutions of the Navier-Stokes equations for the Kármán swirling flow
• Analytical and numerical results for the non-stationary rotating disk flow
• Multiple Grid Methods for the Solution of Fredholm Integral Equations of the Second Kind
• Fast Numerical Solution of Time-Periodic Parabolic Problems by a Multigrid Method
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• The flow induced by a disk oscillating in its own plane

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