13–17 Sept 2021 Virtual Conference
Virtual
Europe/Vienna timezone
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Development of Mathematical Models to describe more precisely the Scattering Light Distribution onto different material surfaces as an application for a Solar Thermal System

16 Sept 2021, 11:10
20m
Room 10

Room 10

Oral Presentation D7. Integrated computational materials engineering - Interoperability, simulation platforms and applications D7_Integrated computational materials engineering - interoperability, simulation platforms and applications

Speaker

Barbara Hippauf (HTW Saar)

Description

Introduction
There exist many mathematical functions based on the BSDF to describe the distribution of scattered light onto the surface of materials. The commonly ones are Pong, Harvey, ABg, Lambertian; all of them based on the BSDF-Formula. The BSDF gives a relation between scattered radiance and incidence irradiance depending on all incident directions of light distribution.
There are complex surface scattering light distribution. That is why the common description models, don’t fit exactly.
To obtain better results for the description of scattering light behavior of several materials, it is essential to find other mathematical concepts and different models.
For this purpose an apparatus system to measure the scattering light onto the surfaces of different materials have been developed. Afterwards, the obtained curves were fitted using polynomial mathematical concepts. To obtain reproductive results, many surfaces, as smooth, rough, glossy, nonglossy, were measured at first to be modeled afterwards.

The improved mathematical concept were introduced into a ray trace simulation program to describe the scattering behavior of light for different materials.
Next the common BSDF scatter distribution description were compared with the new mathematical model concept.
As an application, the optical surfaces of a thermal solar system as reflectors, Fresnel-lenses glass and absorber surfaces were described using both mathematical functions.

Result:
Qualitative good first results were achieved using the new mathematical polynomial concept for the description of the main optical surfaces of a thermal solar system.
It is possible to describe more precisely their optical surfaces using the polynomial mathematical model.

Conclusions:
To consolidate the results it is necessary to apply the formulas of the new model for more optical surfaces and different rough materials.
Further investigation and model comparisons are necessary to obtain reasonable results especially for the description of non-homogeneous surfaces.

Speaker Country Germany

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