Generating results
The procedure for generating results for F-Matrix simulations is similar to that followed for the Three-Phase Method. For example, the command for generating images with the Three-Phase method, as described in section 6.2.2 is:
dctimestep -h matrices/vmtx/hdr/%03d.hdr matrices/tmtx/clear.xml matrices/dmtx/daylight.dmx skyVectors/NYC_Per.vec > results/3ph/3ph.hdr
The counterpart of this command in the F1-type F-matrix simulation is:
dctimestep matrices/vmtx/hdr/F%03d.hdr matrices/tmtx/clear.xml matrices/dmtx/DF1.dfmx skyVectors/NYC_Per.vec > results/fmtx/F1.hdr
Each of the above commands involves a View Matrix, Transmission Matrix, Daylight Matrix and a sky vector. In the case of the F-Matrix simulation by merging the F-Matrix and D-Matrix, as described in 7.2, it is possible to follow the same syntax as the Three-Phase Method. This is also applicable in the case of illuminance calculations. So, the command for generating illuminance results for the F1 type simulation will be:
dctimestep matrices/vmtx/vF.mtx matrices/tmtx/clear.xml matrices/dmtx/DF1.dfmx skyVectors/NYC_Per.vec > results/fmtx/F1.tmp
rmtxop -fa -t -c 47.4 119.9 11.6 results/fmtx/F1.tmp > results/fmtx/F1.ill
The difference in commands for FH and FN type simulations relate to the different matrices that were created for them in 7.3 and 7.4 respectively. Therefore, the command for generating illuminance results for the FN type simulation will be:
dctimestep matrices/vmtx/vF.mtx matrices/tmtx/clear.xml matrices/dmtx/DFN.dfmx skyVectors/NYC_Per.vec > results/fmtx/FN.tmp
rmtxop -fa -t -c 47.4 119.9 11.6 results/fmtx/FN.tmp > results/fmtx/FN.ill
The complete set of commands for F1, FH and FN type simulations are provided in sections E.1 , E.2 and E.3 (respectively) of Appendix E.
Figure 71 and Figure 72 show the results from the different type of F-Matrix simulations and compare the results with a Three-Phase Method simulation that employed the same model and calculation parameters. As the figures indicate, the results from the F1 type simulation differ the most from the benchmark Three-Phase simulation while the results from the FN type simulation differ the least. The falsecolor images in Figure 71 also show that the luminance values calculated through the Three-Phase Method are higher than that for all the F-Matrix simulations. This variation in results can be attributed to the fact that some portion of the luminous-flux is not accounted for in the case of F-matrix simulations. For example, in the case of F1-type simulation only flux incident on the front portion of the façade is considered in the calculation. So, as the image “3 Phase – F1” in Figure 71 indicates, flux incident on the top portion of the façade is not considered in the F1-type simulation.
Figure 71. Images generated with the different types of F-Matrix simulations and compared with a benchmark Three-Phase Method simulation. The images in the right-most column were generated with pcomb. As evidenced by the falsecolor images, difference between the F1 and Three-Phase simulation is greatest while that between FN and Three-Phase is the least. The commands for the Three-Phase Method simulation used for these images is provided in section C.4 of Appendix C.
Figure 72. Illuminance results generated by different types of F-matrix simulations and compared with a benchmark Three-Phase method simulation.