Stokes eigenmodes in cubic domain: primitive variable and lattice Boltzmann formulations

DOI10.1016/j.apnum.2007.04.012zbMath1143.65090OpenAlexW1982396950MaRDI QIDQ932749

Gérard Labrosse, Pierre Lallemand, Emmanuel Leriche

Publication date: 11 July 2008

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2007.04.012

zbMATH Keywords

lattice Boltzmann methodChebyshev spectral methodStokes eigenmodes

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (11)

Vector potential-vorticity relationship for the Stokes flows: Application to the Stokes eigenmodes in 2D/3D closed domain ⋮ On rotational invariance of lattice Boltzmann schemes ⋮ Spectrally accurate Stokes eigen-modes on isosceles triangles ⋮ The evolution Navier-Stokes equations in a cube under Navier boundary conditions: rarefaction and uniqueness of global solutions ⋮ An MHD Stokes eigenvalue problem and its approximation by a spectral collocation method ⋮ Quartic parameters for acoustic applications of lattice Boltzmann scheme ⋮ Towards higher order lattice Boltzmann schemes ⋮ Stokes eigenmodes on two-dimensional regular polygons ⋮ Are there localized eddies in the trihedral corners of the Stokes eigenmodes in cubical cavity? ⋮ Chebyshev spectral collocation method approximations of the Stokes eigenvalue problem based on penalty techniques ⋮ Coarse- and fine-grid numerical behavior of MRT/TRT lattice-Boltzmann schemes in regular and random sphere packings

Uses Software

• ARPACK

Cites Work

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• Local second-order boundary methods for lattice Boltzmann models.
• Fundamental Stokes eigenmodes in the square: Which expansion is more accurate, Chebyshev or Reid-Harris?
• Stokes eigenmodes in square domain and the stream function-vorticity correlation
• Numerical evaluation of the accuracy and stability properties of high-order direct Stokes solvers with or without temporal splitting
• High-Order Direct Stokes Solvers with or Without Temporal Splitting: Numerical Investigations of Their Comparative Properties
• ARPACK Users' Guide
• Discretizations for the Incompressible Navier--Stokes Equations Based on the Lattice Boltzmann Method
• High-Order Methods for Incompressible Fluid Flow
• LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
• Boundary conditions on the vector and scalar potentials in viscous three-dimensional hydrodynamics
• Shock Structure in a Simple Discrete Velocity Gas

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