Parametric simulation of non-coplanar shading systems

Parametrically studying different shading systems with the F-Matrix Method involves recalculating the F-Matrix and repeating the matrix multiplication commands for generating results. Assuming the F1-type F-Matrix simulation with grates, as described in the previous section, has already been performed, a simulation to study a different type of overhang can be performed with little extra effort.

The model for a glass-based overhang is stored in overhang/diffuseGlass.rad. A new octree incorporating this overhang into the scene can be created as:

oconv -f materials.rad room.rad overhang/diffuseGlass.rad > roomFmtxDiff.oct

Now the F-Matrix corresponding to this overhang can be calculated as:

rfluxmtx -v -ff -ab 4 -ad 10000 -lw 1e-5 -c 5000 -n 8 objects/GlazingVmtx.rad fports/F1.rad -i roomFmtxDiff.oct > matrices/fmtx/F1Diff.fmx

The resultant daylight matrix can be calculated as:

dctimestep -of matrices/fmtx/F1Diff.fmx matrices/dmtx/DF1.dmx > matrices/dmtx/DF1Diff.dfmx

The remaining commands in the simulation involve repeating the commands for the previous simulation by replacing the old resultant daylighting matrix with the new matrix calculated here. Figure 73 shows a comparison between the results produced by the two simulations. The full set of commands for this simulation is provided in Section E.4 of Appendix E.

Figure 73. A comparison of the results generated through a parametric simulation involving two types of overhangs.