International Journal for Numerical Methods in Engineering · 1980 · 12 citations · 14 references
Numerical AnalysisEngineeringFluid MechanicsLaminar FlowComputational MechanicsBoundary LayerUnsteady FlowEntrance RegionArbitrary ShapeMixed ConvectionNatural ConvectionBoundary Element MethodMultiphase FlowHeat TransferThree‐level Central AlogrithmFinite Element AnalysisFinite Element MethodAerodynamicsLinear Heat ConductionThermal Engineering
Abstract This paper presents a generally applicable approach to developing laminar flow problems in straight ducts of arbitrary shape. A three‐level central alogrithm which does not require iterations is used to march ahead with the solution in the axial direction. The calculation procedure can be implemented by utilizing, with minor modifications, any standard finite element code for linear heat conduction. Several illustrative examples demonstrate accuracy and versatility of the proposed technique.
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Modern Developments in Fluid Dynamics
L. M. Milne-Thomson, S. Goldstein · The Mathematical Gazette · 1939 · 1.6K citations