# GfsFunction

### From Gerris

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The GTS file must be a planar (preferably Delaunay) triangulation of a set of points. The value of the function at a given (x,y) coordinate is then calculated by computing the z-coordinate of the intersection of a vertical line passing through the point at (x,y,0) with the triangulation defined by the GTS file. | The GTS file must be a planar (preferably Delaunay) triangulation of a set of points. The value of the function at a given (x,y) coordinate is then calculated by computing the z-coordinate of the intersection of a vertical line passing through the point at (x,y,0) with the triangulation defined by the GTS file. | ||

+ | |||

+ | Gradients of variables can be computed using the <code>dx()</code>, <code>dy()</code> and <code>dz()</code> functions. For example, the z-component of the vorticity would be computed as: | ||

+ | |||

+ | (dx("V") - dy("U")) |

## Revision as of 00:14, 21 February 2007

Functions can be used in most objects which require a numerical parameter. A function can be a constant or a piece of C code taking coordinates (x,y,z), time t or any of the domain variables as arguments and returning a floating-point value.

The syntax in parameter files is as follows:

-1.78e-3

or a C function

{ double a = sin (x + y); double b = cos (x - z); double c = sin (M_PI*t); return a + b + c; }

or a C expression

40.*(P - 1.)

or a GTS file

myfunction.gts

The GTS file must be a planar (preferably Delaunay) triangulation of a set of points. The value of the function at a given (x,y) coordinate is then calculated by computing the z-coordinate of the intersection of a vertical line passing through the point at (x,y,0) with the triangulation defined by the GTS file.

Gradients of variables can be computed using the `dx()`

, `dy()`

and `dz()`

functions. For example, the z-component of the vorticity would be computed as:

(dx("V") - dy("U"))