Thesis

Fluid flow simulation by finite difference methods on a digital computer

This report analyzes problems that involve fluid-flow boundary conditions in a general heat conduction program. The difficulty in the problem stems from adjusting a finite difference method that is used in solving conduction problems to be used directly with fluid flow. The capabilities and limitations associated with two types of solution algorithms, Eulerian and Lagrangian, are presented. The Eulerian method which uses a stationary control volume approach, is simplest and preferred. The Lagrangian method, in which the control volume moves with the fluid, is more complex but can generate a more accurate solution in certain circumstances. The finite difference techniques used, called upwind and central differencing, can affect the accuracy and the stability of the solution. The report also contains a user guidance section which provides suggestions to those who wish to solve a fluid flow problem by using a conduction-based computer code.

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