Lectures on Large-Scale Finite Difference Computation of Incompressible Fluid Flows
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In the present section we shall attempt to describe, through example, the essentials of numerical computation of time-dependent, nonlinear fluid flows. The case in consideration will be that of incompressible flow with viscosity, described in terms of a vorticity and streamfunction. The discussions have been simplified so that the overall view of the computation procedures can be emphasized. Refinements of the individual areas, or subprograms, are presented in succeeding sections where the methods are brought up to date. Along with recommended reading the included material should permit the construction of a working program. Alternatively, the outline provided should lend itself to expansion into other areas of numerical computation of initial-boundary value problems.
KeywordsFluid Flow Rayleigh Number Stream Function Incompressible Fluid Mesh Point
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