Panel Methods -- AIC Matrix


The next step, after dividing the geometry into panels is to compute the flow pattern at each panel, i, associated with a source or doublet or vortex of unit strength at panel j. The component of the velocity normal to the panel is denoted AIC(i,j), an element of the aerodynamic influence coefficient matrix.

The flow at panel i associated with a singularity of unit strength at panel j can be computed from the basic singularity solution. The result depends on the vector distance between the panels, R. More specifically, the vector from the jth singularity to the control point of panel i (often at the panel centroid).

The fundamental solution for the flow field some distance from the singularity is discussed in following sections, but the jth panel usually contains not just a single point source or vortex or doublet, but several vortex lines or a distribution of such singularities. The form of this distribution is one of the things that differentiates various panel methods.

The distribution of singularity strength over a panel may be a constant value, or may vary linearly or quadratically in both directions. The list below shows some of the panel codes and the choice of singularity types and distributions.