Journal of Applied Mechanics · 2009 · 46 citations · 45 references
Numerical AnalysisRichardson SchemeLinear SystemsMethod Of Fundamental SolutionEngineeringPde-constrained OptimizationIncompressible FlowCompressible FlowNumerical ComputationSemi-implicit MethodIncompressible FlowsNumerical SimulationNonsymmetric Linear SystemsNavier-stokes EquationsComputational MechanicsMultiphase FlowNavier–stokes EquationsNumerical Method For Partial Differential Equation
In this paper we present effective preconditioning techniques for solving the nonsymmetric systems that arise from the discretization of the Navier–Stokes equations. These linear systems are solved using either Krylov subspace methods or the Richardson scheme. We demonstrate the effectiveness of our techniques in handling time-accurate as well as steady-state solutions. We also compare our solvers with those published previously.
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Reducing the bandwidth of sparse symmetric matrices
Elizabeth Cuthill, James McKee · 1969 · 1.4K citations