International Journal for Numerical Methods in Fluids · 1990 · 23 citations · 12 references
EngineeringComputational EngineeringMechanical EngineeringComputational Fluid DynamicsFluid DynamicsFluid MechanicsComputational AerodynamicsFinite Element FormulationLaminar FlowNavier-stokes EquationsViscous FlowVortex DynamicsFinite Element ModelingHigh-reynolds-number FlowIncompressible Navier-stokes EquationsNavier-stokes SolversReynolds NumberVelocityVelocity ComponentsViscosity
Abstract A velocity–vorticity formulation of the Navier–Stokes equations is presented as an alternative to the primitive variables approach. The velocity components and the vorticity are solved for in a fully coupled manner using a Newton method. No artificial viscosity is required in this formulation. The pressure is updated by a method allowing natural imposition of boundary conditions. Incompressible and subsonic results are presented for two‐dimensional laminar internal flows up to high Reynolds numbers.
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