Highly accurate numerical schemes for solving plane boundary-value problems for a polyharmonic equation and their application to problems of hydrodynamics

DOI10.1134/S0015462823602048MaRDI QIDQ6563552

A. Petrov

Publication date: 27 June 2024

Published in: Fluid Dynamics (Search for Journal in Brave)

zbMATH Keywords

Stokes flowFourier serieslinear operatorperiodic functionharmonic/biharmonic functionsaturation-free scheme

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Complex variables methods applied to problems in fluid mechanics (76M40) Basic methods in fluid mechanics (76M99)

Cites Work

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• Viscous fluid velocity field between two cylinders which rotate and move translationally
• Linear integral equations.
• Numerical schemes without saturation for periodic functions
• Algorithm for construction of quadrature formulas with exponential convergence for linear operators acting on periodic functions
• Computation of viscous flow between two arbitrarily moving cylinders of arbitrary cross section
• Chebyshev and Fourier spectral methods.
• Numerical solution to the boundary value problem for a polyharmonic equation
• Saturation-free numerical scheme for computing the flow past a lattice of airfoils and the determination of separation points in a viscous fluid
• The problem of constructing unsaturated quadrature formulae on an interval

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