Mixed spectral-boundary element embedding algorithms for the Navier-Stokes equations in the vorticity-stream function formulation

DOI10.1006/jcph.1999.6265zbMath0941.76066OpenAlexW2036899999MaRDI QIDQ1302906

M. Elghaoui, Richard Pasquetti

Publication date: 7 August 2000

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

Full work available at URL: https://doi.org/10.1006/jcph.1999.6265

zbMATH Keywords

Navier-Stokes equationsboundary integral equationsFourier expansionsembedding approachvorticity-stream function formulationflow between two eccentric cylinders

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22) Boundary element methods applied to problems in fluid mechanics (76M15)

Related Items (10)

Prolate spheroidal wavefunctions as an alternative to Chebyshev and Legendre polynomials for spectral element and pseudospectral algorithms ⋮ Asymptotic Fourier coefficients for a \(C^\infty\) bell (smoothed-``top-hat) \& the Fourier extension problem ⋮ Fourier embedded domain methods: Periodic and \(C^{\infty}\) extension of a function defined on an irregular region to a rectangle via convolution with Gaussian kernels ⋮ Expansion functions for two-dimensional incompressible fluid flow in arbitrary domains ⋮ Modal spectral element method in curvilinear domains ⋮ Fourier embedded domain methods: Extending a function defined on an irregular region to a rectangle so that the extension is spatially periodic and \(C^{\infty}\) ⋮ Parallel algorithms with local Fourier basis ⋮ Spectral domain embedding for elliptic PDEs in complex domains ⋮ Implementation of Neumann boundary condition with influence matrix method for viscous annular flow using pseudospectral collocation ⋮ A comparison of numerical algorithms for Fourier extension of the first, second, and third kinds

Cites Work

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• Development of the mask method for incompressible unsteady flows
• Some current CFD issues relevant to the incompressible Navier-Stokes equations
• A Lagrange multiplier/fictitious domain method for the Dirichlet problem -- generalization to some flow problems
• Strategies for the accurate computation of potential derivatives in boundary element method: Application to two-dimensional problems
• A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations
• A spectral embedding method applied to the advection-diffusion equation
• Non‐singular boundary integral representation of potential field gradients
• Structure of the set of stationary solutions of the navier‐stokes equations
• Method of fictitious domains for a second-order elliptic equation with natural boundary conditions
• Numerical Solution of the Incompressible Navier-Stokes Equations in Doubly-Connected Regions
• A Fast Solver for Navier–Stokes Equations in the Laminar Regime Using Mortar Finite Element and Boundary Element Methods
• The Direct Solution of the Discrete Poisson Equation on Irregular Regions

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