Abstract
AbstractBody oriented co‐ordinates are defined for three‐dimensional regions bounded by six surfaces. From this definition of body oriented co‐ordinates, two transformations are derived: Body oriented surface co‐ordinates to the Cartesian co‐ordinates, and Body oriented co‐ordinates for a three‐dimensional region to Cartesian co‐ordinates. With these transformations a mesh generator is developed based on the principle that the mesh required to describe a region will be calculated according to the placement of the discrete points that describe the boundary edges. This is accomplished with two versions of the mesh generator: the surface generator and the volume generator. The surface generator maps the four boundaries of the surface onto the four boundaries of a unit square. Next, the interior points for the surface mesh are established in the mapped space. Then, using the first transformation, the co‐ordinates for the surface nodal points are calculated. Similarly, the volume generator maps the six surfaces of the body onto the surfaces of a unit cube, establishes the interior nodal points in the mapped space, and using the second transformation, calculates the co‐ordinates for the interior nodal points.
Published Version
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