A nonlinear multigrid method for the three-dimensional incompressible Navier-Stokes equations

DOI10.1006/jcph.1998.6067zbMath0932.76049OpenAlexW1997394732MaRDI QIDQ1275172

O. P. Iliev, D. P. Vassileva, Dimitris Drikakis

Publication date: 21 March 2000

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

Full work available at URL: https://doi.org/10.1006/jcph.1998.6067

zbMATH Keywords

time integrationchannel flowsfourth-order Runge-Kutta schemeartificial compressibility formulationcoarse subgridfine subgridflow in cubic cavityfull multigrid-full approximation storage algorithmpseudo-time iterationsthird-order upwind characteristic-based scheme

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (26)

An improved unsteady, unstructured, artificial compressibility, finite volume scheme for viscous incompressible flows: Part I. Theory and implementation ⋮ New approach in boundary conditions for incompressible flows using characteristic relations ⋮ An artificial compressibility CBS method for modelling heat transfer and fluid flow in heterogeneous porous materials ⋮ Efficient and non-reflecting far-field boundary conditions for incompressible flow calculations ⋮ Early post-impact time dynamics of viscous drops onto a solid dry surface ⋮ A novel meshless method for incompressible flow calculations ⋮ An improved HLLC-type solver for incompressible two-phase fluid flows ⋮ Revision of the characteristics-based scheme for incompressible flows ⋮ Efficient multilevel restriction–prolongation expressions for hybrid finite volume element method ⋮ A parallel nonlinear multigrid solver for unsteady incompressible flow simulation on multi-GPU cluster ⋮ Genuinely multidimensional characteristic‐based scheme for incompressible flows ⋮ Multigrid solution of the Navier-Stokes equations at low speeds with large temperature variations. ⋮ Numerical investigation on a new local preconditioning method for solving the incompressible inviscid, non-cavitating and cavitating flows ⋮ The image-based multiscale multigrid solver, preconditioner, and reduced order model ⋮ Multidimensional upwinding for incompressible flows based on characteristics ⋮ Acceleration of multigrid flow computations through dynamic adaptation of the smoothing procedure. ⋮ Geometric multigrid with applications to computational fluid dynamics ⋮ Design of a high-performance unsteady Navier--Stokes solver using a flexible-cycle additive-correction multigrid technique ⋮ Parallel-multigrid computation of unsteady incompressible viscous flows using a matrix-free implicit method and high-resolution characteristics-based scheme ⋮ Multigrid solution of the incompressible Navier-Stokes equations for density-stratified flow past three-dimensional obstacles ⋮ On spurious vortical structures. ⋮ Multidimensional characteristic-based solid boundary condition for incompressible flow calculations ⋮ Improved CVP scheme for laminar incompressible flows ⋮ Artificial compressibility, characteristics-based schemes for variable density, incompressible, multi-species flows. I: Derivation of different formulations and constant density limit ⋮ Artificial compressibility, characteristics-based schemes for variable-density, incompressible, multispecies flows. II: Multigrid implementation and numerical tests ⋮ Comparison of implicit multigrid schemes for three-dimensional incompressible flows

Uses Software

• Wesseling

Cites Work

• Solution of the Euler equations for two dimensional transonic flow by a multigrid method
• Improved convergence to the steady state of the Euler equations by enhanced wave propagation
• Progress with multigrid schemes for hypersonic flow problems
• Evaluation of multigrid acceleration for preconditioned time-accurate Navier-Stokes algorithms
• Analysis of robust multigrid methods for steady viscous low Mach number flows
• A numerical method for solving incompressible viscous flow problems
• A New Class of Iterative Methods for Nonselfadjoint or Indefinite Problems
• Laminar flow in a square duct of strong curvature
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• Multigrid Navier-Stokes calculations for three-dimensional cascades
• A Novel Two-Grid Method for Semilinear Elliptic Equations
• Fast multigrid method for solving incompressible hydrodynamic problems with free surfaces
• A characteristic‐based method for incompressible flows
• Computational transonics
• A relaxation method for solving elliptic difference equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A nonlinear multigrid method for the three-dimensional incompressible Navier-Stokes equations