Wind simulation does not result in totally stable results as it is a dynamic process changing over time.
In order to address this problem, the program measures the resulting total forces convergence over a specific time period.
Total Forces
- In the direction of the wind:
.
- Horizontally and perpendicularly to the wind direction:
.
- In the vertical direction:
.
Scaling Forces
The resultant forces depend on the model size. To properly scale the resultant forces, the program uses the dynamic pressure and the surface values
,
, and
.
The surface values are used to scale the corresponding forces.
This approach allows for the neutralization of disproportions of the model in the wind directions x, y and z.
-
Where:
represents the dynamic pressure in pascals.
represents the fluid density in kg/m3 .
represents the fluid velocity in m/s.
- The surface
corresponds to the area covered by the projection of all the triangles of the model on the plane perpendicular to the X wind direction.
- The surface
corresponds to the area covered by the projection of all the triangles of the model on the plane perpendicular to the Y wind direction.
- The surface
corresponds to the area covered by the projection of all the triangles of the model on the plane perpendicular to the Z wind direction.
The scaling forces are calculated as follows:

Assessment of resultant forces stabilization
To measure the total forces convergence over a specific time period, the resultant forces ,
, and
are calculated and stored for a number of steps n, and then the maximum change for a given moment is calculated as follows:

Where ,
, and
represent the stored values of
,
, and
for a given step, and for i=1 to n.
These maximum force changes are then scaled by ,
, and
respectively and displayed as a percentage.
The final metric is the maximum of these three scaled values:

Where = 0,5%, i.e. the default load deviation factor.
n is the number of simulation steps for which ,
, and
are stored for comparison with the current step. The default value for n is 10.