Finite volume adaptive solutions using SIMPLE as smoother

Abstract

This paper describes a new multilevel procedure that can solve the discrete Navier-Stokes system arising from finite volume discretizations on composite grids, which may consist of more than one level. SIMPLE is used and tested as the smoother, but the multilevel procedure is such that it does not exclude the use of other smoothers. Local refinement is guided by a criterion based on an estimate of the truncation error. The numerical experiments presented test not only the behaviour of the multilevel algebraic solver, but also the efficiency of local refinement based on this particular criterion.

References in corpus (1)

• Estimate of the truncation error of a finite volume discretisation of the Navier-Stokes equations on colocated grids

Cited by in corpus (7)

• Solution of the square lid-driven cavity flow of a Bingham plastic using the finite volume method
• Theoretical study of the flow in a fluid damper containing high viscosity silicone oil: effects of shear-thinning and viscoelasticity
• Performance of the finite volume method in solving regularised Bingham flows: inertia effects in the lid-driven cavity flow
• A p-Multigrid Strategy with Anisotropic p-Adaptation Based on Truncation Errors for High-Order Discontinuous Galerkin Methods
• Thixotropic flow past a cylinder
• Numerical experiments on the efficiency of local grid refinement based on truncation error estimates
• Truncation Error Estimation in the p-Anisotropic Discontinuous Galerkin Spectral Element Method