A sharp-interface active penalty method for the incompressible Navier-Stokes equations

DOI10.1007/s10915-014-9849-6zbMath1309.76144arXiv1303.5681OpenAlexW2077852061MaRDI QIDQ2341112

David Shirokoff, Jean-Christophe Nave

Publication date: 23 April 2015

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.5681

zbMATH Keywords

heat equationincompressible flowNavier-Stokesimmersed boundaryactive penalty methodsharp mask function

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite difference methods applied to problems in fluid mechanics (76M20) Spectral methods applied to problems in fluid mechanics (76M22) Finite difference methods for boundary value problems involving PDEs (65N06) Fictitious domain methods for boundary value problems involving PDEs (65N85)

Related Items (18)

The smooth forcing extension method: a high-order technique for solving elliptic equations on complex domains ⋮ Immersed boundary smooth extension: a high-order method for solving PDE on arbitrary smooth domains using Fourier spectral methods ⋮ Immersed boundary smooth extension (IBSE): a high-order method for solving incompressible flows in arbitrary smooth domains ⋮ An FMM Accelerated Poisson Solver for Complicated Geometries in the Plane Using Function Extension ⋮ An integral equation-based numerical method for the forced heat equation on complex domains ⋮ Computing with Functions on Domains with Arbitrary Shapes ⋮ Higher-order accurate diffuse-domain methods for partial differential equations with Dirichlet boundary conditions in complex, evolving geometries ⋮ Frames and numerical approximation. II: Generalized sampling ⋮ A diffuse domain method for two-phase flows with large density ratio in complex geometries ⋮ Partition of unity extension of functions on complex domains ⋮ A reduced-order shifted boundary method for parametrized incompressible Navier-Stokes equations ⋮ Frame approximation with bounded coefficients ⋮ A Fourier penalty method for solving the time-dependent Maxwell's equations in domains with curved boundaries ⋮ Wall-resolved wavelet-based adaptive large-eddy simulation of bluff-body flows with variable thresholding ⋮ Immersed hybrid difference methods for elliptic boundary value problems by artificial interface conditions ⋮ Frames and Numerical Approximation ⋮ Spectrally accurate solutions to inhomogeneous elliptic PDE in smooth geometries using function intension ⋮ Analysis and discretization of the volume penalized Laplace operator with Neumann boundary conditions

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