Discretization of Potential Flow Equation
The potential flow equation with well-posed boundary conditions applied is:
- Note that the integration term is evaluated only on the upper surface, while th integral term is evaluated on the upper and lower surfaces.
The continuous surface S may now be discretized into discrete panels. These panels will approximate the shape of the actual surface. This value of the various source and doublet terms may be evaluated at a convenient point (such as the centroid of the panel). Some assumed distribution of the source and doublet strengths (typically constant or linear) are used at points other than the centroid. A single source term s of unknown strength and a single doublet term m of unknown strength are defined at a given point.
where:
These terms can be used to create a system of linear equations which can be solved for all the unknown values of .
Read more about this topic: Aerodynamic Potential Flow Code
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