In previous chapters, we have discussed the equations governing the structure of a steady flow and the evolution of an unsteady flow, and derived selected solutions for simple flow configurations by analytical and numerical methods. To generate solutions for arbitrary boundary geometries and flow conditions, it is necessary to develop general-purpose numerical methods. In this chapter, we discuss the choice of governing equations and the implementation of finite-difference methods for incompressible Newtonian flow.
KeywordsStream Function Unidirectional Flow Projection Step Homogeneous Neumann Boundary Condition Vorticity Formulation
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