Computational fluid dynamics uses numerical methods to solve models of fluid flow. A calculation specifies governing balance laws, constitutive equations, initial data and boundary conditions, then represents the fields on a finite set of degrees of freedom. The computed velocity, pressure and other fields approximate the selected model rather than directly reproducing every molecular interaction.
A useful pipe-flow calculation checks the incoming and outgoing mass flow rates, compares the pressure drop with an appropriate analytic regime and refines the spatial and time resolution. Small changes under refinement test numerical resolution; agreement with an independent experiment tests physical modeling. These checks answer different questions. Approximations for turbulence, geometry and wall behavior can dominate the uncertainty even when the discretized equations are solved accurately. In reconstructing flow around a fossil, uncertain anatomy and imposed flow conditions remain part of the scientific interpretation.
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Computational Fluid Dynamics (CFD) is a branch of fluid mechanics that utilizes numerical analysis and algorithms to solve and analyze problems involving fluid flows. CFD enables the simulation of fluid motion and the associated physical phenomena, such as heat transfer, chemical reactions, and turbulence, through the use of computational methods. Key aspects of CFD include: 1. **Mathematical Modeling**: Fluid flows are described by the Navier-Stokes equations, which are a set of partial differential equations.