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An algebraic multigrid solver for Navier‐Stokes problems
Author(s) -
Webster R.
Publication year - 1994
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650180805
Subject(s) - multigrid method , discretization , polygon mesh , solver , mathematics , finite element method , convergence (economics) , navier–stokes equations , scaling , algebraic equation , mathematical optimization , mathematical analysis , partial differential equation , geometry , nonlinear system , physics , compressibility , mechanics , economics , thermodynamics , economic growth , quantum mechanics
An efficient numerical method is presented for solving the equations of motion for viscous fluids. The equations are discretized on the basis of unstructured finite element meshes and then solved by direct iteration. Advective fluxes are temporarily fixed at each iteration to provide a linearized set of coupled equations which are then also solved by iteration using a fully implicit algebraic multigrid (AMG) scheme. A rapid convergence to machine accuracy is achieved that is almost mesh‐independent. The scaling of computing time with mesh size is therefore close to the optimum.