The *Method* pull down list lets you specify the particular TFI method to apply to domains when the *Initialize* button is pressed. Blocks will
always be initialized using the *Standard* method. On the other hand, the choices when initializing domains are the following:

**Standard:**It applies blending functions based on the relative spacing of the grid points on the boundaries (Ref. 22). The TFI algorithm is applied independently to the (x,y,z) coordinates of a grid. Because the blending functions are arc length based, the resultant grids usually have satisfactory clustering.*Standard*TFI is the third method after*Parametric*and*Parametric Fit*TFI that Fidelity Pointwise tries to apply by default to create the initial surface grid for domains.*Standard*TFI is the only method used for blocks.**Linear:**It applies the TFI algorithm to the (x,y,z) coordinates of the grid, but the blending functions are no longer related to the distribution of grid points on the boundaries. This method is rarely better than*Standard*TFI but is provided for comparison and historical purposes.**Parametric:**It can be used when all of the grid points on the boundaries of a grid are on the same database entity. In this method, the basic TFI algorithm is applied to the parametric database coordinates (u,v). Once the parametric coordinates (u,v) are computed at each grid point, the physical coordinates (x,y,z) are calculated from direct evaluation of the database entity. The result is a grid that lies exactly on the database entity. If you apply*Parametric*TFI to grids that do not reference one and only one database entity, you will be warned and the grid points will not be updated.*Parametric*TFI is the first method that Fidelity Pointwise tries to apply by default to create the initial surface grid for domains.**Polar:**It is best suited for grids intended to be shaped like a body of revolution. Selecting this method opens the*Polar Axis Selection*frame where you can define the axis, shown below. Refer to the table for information on the definition of the current axis.Press

*Begin*to expand the*Polar Axis Selection*frame. As shown below, there are three methods for defining the axis:*Curve*,*2 Points*, and*Point and Direction*.The default

*Curve*option expects you to pick a curve in the*Display*window or in the*List*to use as the axis. If the curve is not linear, the endpoints will be used to define the axis. The*2 Points*option allows you to pick points in the*Display*window or enter them directly into the XYZ text field.*Point and Direction*allows you to pick or enter a point and then select a primary axis direction through that point or specify a non-primary axis direction by entering directly into the*Vector*text field.*Delete Last Point*allows you to delete selected or entered points when using either the*2 Points*or*Point and Direction*axis specification options.*Clear Axis*allows you to start the axis specification process over from the beginning by clearing the currently defined axis. Press*End*to confirm your change and the information in the*Current Axis*table will be updated accordingly.The (x,y,z) grid point coordinates on the boundaries are then transformed to polar coordinates (r, alpha, z') relative to the axis of revolution. The TFI algorithm is applied to each of the polar coordinates. Finally, the polar coordinates are transformed back to Cartesian coordinates.

*Polar*is not available for blocks.**Parametric Fit:**It is similar to*Parametric*TFI in that it will produce grids that lie on the database shape. As is the case for*Parametric*TFI, the grid points will be on a single database surface entity. However, it is much more general than*Parametric*TFI because the boundary points do not have to lie on a single database entity. Two less stringent conditions must be met before*Parametric Fit*TFI may be applied:- A certain percentage of the grid's boundary points must reference database entities of any kind.
- All of the grid's boundary points must lie within the extent box of at least one database surface entity.

If the grid passes the two tests above, then the grid's boundary points are projected (using closest point) onto each of the candidate (according to condition 2 above) database surfaces. The projection that results in the smallest cumulative movement of the boundary points determines the database entity to use for

*Parametric*TFI. The grid's boundary points are projected onto the entity, and the resulting (u,v) coordinates are used to drive*Parametric*TFI. Note that the projection of boundary points is only a temporary operation; the original coordinates of the boundary points are restored.*Parametric Fit*TFI is the second method after*Parametric*TFI that Fidelity Pointwise tries to apply by default to create the initial surface grid for domains. For*Parametric Fit*TFI to be applied automatically to a new domain, a third condition must be satisfied:- The total distance projected from the grid's boundary points to the candidate surface must be less than a tolerance.