CFD Online Logo CFD Online URL
Home > Wiki > Area calculations

Area calculations

From CFD-Wiki

(Difference between revisions)
Jump to: navigation, search
m (Reverted edits by RoletOchic (Talk) to last version by Zxaar)
(One intermediate revision not shown)

Latest revision as of 12:31, 19 December 2008

Area of Triangle

The area of a triangle made up of three vertices A(x1,y1,z1), B(x2,y2,z2) and C(x3,y3,z3) can be represented
by the vector-cross-product of vectors along two sides of the triangle sharing a common vertex.
For the above mentioned triangle we have three sides as AB, BC and CA, the area of triangle is given by:

Area\Delta ABC = {1 \over 2}\left| {AB \times AC} \right|
AB = Vector from vertex A to vertex B.
AC = Vector from vertex A to vertex C.

Area of Polygonal Surface

A polygon can be divided into triangles sharing a common vertex of the polygon. The total area of the polygon
can be approximated by sum of all triangle-areas it is made up of.

Return to Numerical Methods

My wiki