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Challenges in Fluid Flow Analysis: Equations and Solutions

This document discusses key aspects of fluid flow analysis, including the calculation of flow fields and the importance of continuity and momentum equations. It highlights the challenges faced due to transient equations, the complexity and nonlinearity of the governing equations, and issues with pressure and velocity fields. The discussion also explores the interconnectedness of these equations and introduces potential remedies, such as the use of staggered grids to improve accuracy in the analysis.

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Challenges in Fluid Flow Analysis: Equations and Solutions

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Presentation Transcript

    1. Calculation of the flow field

    2. Continuity equation

    3. Momentum equations

    4. Momentum equations

    5. Momentum equations

    6. Where is the problem? equations are transient (time dependent)? we do not have as many equations as we have unknowns? equations look ugly? equations are complicated? equations are nonlinear? equations are coupled? the pressure field is unknown? there is no obvious equation to obtain the pressure field?

    7. Some more problems with pressure

    8. Some more problems with pressure

    9. Similar problems with velocity

    10. Remedy: the staggered grid

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