A divergence-free method for solving the incompressible Navier-Stokes equations on non-uniform grids and its symbolic-numeric implementation

DOI10.1007/978-3-030-26831-2_28zbMath1437.65216OpenAlexW2968634551MaRDI QIDQ2175596

Evgenii V. Vorozhtsov, Vasily P. Shapeev

Publication date: 29 April 2020

Full work available at URL: https://doi.org/10.1007/978-3-030-26831-2_28

zbMATH Keywords

Navier-Stokes equationsmultigridpreconditionersnon-uniform gridsKrylov subspaceslogically rectangular gridsmethod of collocations and least squares

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Symbolic computation and algebraic computation (68W30) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)

Uses Software

• Mathematica