A simplified new multigrid algorithm of lattice Boltzmann method for steady states

DOI10.1016/j.camwa.2023.01.013OpenAlexW4318823442MaRDI QIDQ2693556

Bo An, W. M. Sang, Josep M. Bergada

Publication date: 23 March 2023

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2023.01.013

zbMATH Keywords

multigrid methodlattice Boltzmann methodcomputational efficiency and accuracysimplified new algorithm

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Cites Work

• Multigrid lattice Boltzmann method for accelerated solution of elliptic equations
• A lattice-Boltzmann method with hierarchically refined meshes
• A solution-adaptive lattice Boltzmann method for two-dimensional incompressible viscous flows
• On the multigrid F-cycle
• Development of a multigrid code for 3-D Navier-Stokes equations and its application to a grid-refinement study
• Sixth order compact scheme combined with multigrid method and extrapolation technique for 2D Poisson equation
• Steady state convergence acceleration of the generalized lattice Boltzmann equation with forcing term through preconditioning
• Multigrid solution of the steady-state lattice Boltzmann equation
• Block-implicit multigrid solution of Navier-Stokes equations in primitive variables
• Note on the multigrid \(W\)-cycle
• Implementation of multigrid approach in domain-free discretization method to speed up convergence.
• A multigrid-solver for the discrete Boltzmann equation
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• Simulation of cavity flow by the lattice Boltzmann method
• A \(p\)-cycle analysis of multigrid method
• New applications of numerical simulation based on lattice Boltzmann method at high Reynolds numbers
• Towards a better understanding of wall-driven square cavity flows using the lattice Boltzmann method
• Improving the low Mach number steady state convergence of the cascaded lattice Boltzmann method by preconditioning
• The robustness issue on multigrid schemes applied to the Navier–Stokes equations for laminar and turbulent, incompressible and compressible flows
• Fourth-order compact formulation of Navier-Stokes equations and driven cavity flow at high Reynolds numbers
• Lattice BGK Models for Navier-Stokes Equation
• Multigrid Method for the Euler and Navier-Stokes Equations
• Algebraic multigrid methods
• Analysis of a Multigrid Algorithm for Time Harmonic Maxwell Equations
• The lid-driven right-angled isosceles triangular cavity flow
• New Estimates for Multilevel Algorithms Including the V-Cycle
• A generic, mass conservative local grid refinement technique for lattice‐Boltzmann schemes
• Multigrid Method for Fluid Dynamic Problems

This page was built for publication: A simplified new multigrid algorithm of lattice Boltzmann method for steady states