Abstract
Lighting in heritage is complex because of the forms intervening in it. The historical evolution of cultures has not been analytical and therefore, the shapes involved differ greatly from the cuboids typically found in 21st century architecture. As a vector, light inevitably attaches to surface sources. In this research, we focused on 3D curved geometries. Following a different trail to radiative transfer by virtue of detailed knowledge of the spatiality of volumes, we present new expressions, previously undefined in the literature, that are derived from a combination of surfaces that we have found in many archaeological sites around Asia. In the discussion, we start from the particularities of spherical surfaces where a normal vector has to pass through the center. By means of easy calculations, we deducted innovative laws. These in turn, allowed us to formulate several new expressions for configuration factors based on the adroit use of spherical fragments. The method easily extends to organic shapes that are often contained in the sustainable architecture of the past. The method finishes with suitable algorithms to assess the reflections in such curved forms. Finally, we implemented the results in our creative software. In this way, we enhanced the sustainable paradigms for heritage structures in Asia that we present as a conclusion of the article.
Highlights
The fundamental question of light in heritage architecture remains unsettled due to a lack of scientific advances in the field
This clearly applies to the geometry of the tunnel, a form that has been never we introduce an equation that correlates the radiative transfers of circular sectors with connected been In calculated previously due to is difficulty in integration
New principles proposed by the authors possibilities for sustainable lighting in the heritage of East Asia
Summary
The fundamental question of light in heritage architecture remains unsettled due to a lack of scientific advances in the field. Disregard of surface sources of a three-dimensional shape in radiative transfer analysis is altogether usual This can be explained by the complexities of the integral equations involved and is partly due to the want of a sufficiently geometric approach to the problem, if scholars come from fields of expertise outside design or architecture. We accomplish the research by adding the equations concerned with finding details of different volumes, we hereby offer innovative and simpler expressions obtained from inter-reflections in the said curved elements. It produces differential (2), which still constitutes all times, we conveyed the findingsthe to ensuing an innovative software that enhances luminous radiative the scientific fundament of form factor exchanges for all kind of surfaces. Transfer simulation for a significant quantity of products and designs, especially of the paradigmatic cases that we give in our conclusions
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