Radiation Modeling Using the Finite Element Method

Eekelen, Tom van

doi:10.1002/9781118562062.ch11

Cited by 3 publications

(4 citation statements)

References 1 publication

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“…With ¼ 18 and I c ¼ 0.75, N ¼ 19697 % 20000. With this target, the sequence is: [1 8 10). The 20482 cells are distributed in 90 bands with a coverage index of 73.25%.…”

Section: Discussionmentioning

confidence: 99%

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Sky vault partition for computing daylight availability and shortwave energy budget on an urban scale

Beckers

2013

Lighting Research & Technology

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The objective of this work is to propose to the urban physics community an optimal sky vault partition able to support most existing applications, either in daylight availability evaluation or in shortwave energy budget estimation. This partition is explained and justified. Its refinement is examined and analysed with respect to the studies performed today at urban level. The solution of the analyses is obtained in two steps: the heaviest part is the solution of the urban interreflection problem, while the second step is very fast and can be achieved in interactive mode. It consists in computing the thermal or illumination loads which will be used as coefficients of a recombination of the first step results. The urban interreflection problem is independent of this process and can be obtained with various existing techniques, such as the radiosity method.

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“…With ¼ 18 and I c ¼ 0.75, N ¼ 19697 % 20000. With this target, the sequence is: [1 8 10). The 20482 cells are distributed in 90 bands with a coverage index of 73.25%.…”

Section: Discussionmentioning

confidence: 99%

“…It can be adapted to take into account glossy surfaces. 8 For the sky vault, we can compute an approximation of this differential form factor. If it is divided into N patches with the same solid angle 2/N and if the patches are sufficiently small to validate the assumption that i and V i are constant, the integral Equation (2) becomes…”

Section: Form Factorsmentioning

confidence: 99%

Sky vault partition for computing daylight availability and shortwave energy budget on an urban scale

Beckers

2013

Lighting Research & Technology

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“…The integration of more complex graphical methods [THC*19] is necessary for modelling the optical properties of materials, to obtain greater detail in infrared radiation simulations [Mod03]. In thermal calculations where radiation has a greater significance, such as temperature calculations of satellite‐like structures, considering the infrared optical properties can be important [vE13]. In thermography rendering, the integration of directional emissivities and reflectivities is necessary under some circumstances [HB18], especially when perspective views of the scene are captured [GN19].…”

Section: Long‐wave Modelling and Simulationmentioning

confidence: 99%

“…Directional infrared properties (emissivity and reflectivity) have been used in previous works. Van Eekelen [vE13] presented an FEM approach to simulate satellite surface temperature considering non‐grey surfaces and specular reflections. By using different simulation configurations, the author showed that the thermo‐optical properties of the surfaces are an important tool for the thermal control of a satellite.…”

Section: Long‐wave Modelling and Simulationmentioning

confidence: 99%

Physically Based Simulation and Rendering of Urban Thermography

Aguerre

García‐Nevado

Miño

et al. 2020

Computer Graphics Forum

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Urban thermography is a non‐invasive measurement technique commonly used for building diagnosis and energy efficiency evaluation. The physical interpretation of thermal images is a challenging task because they do not necessarily depict the real temperature of the surfaces, but one estimated from the measured incoming radiation. In this sense, the computational rendering of a thermal image can be useful to understand the results captured in a measurement campaign. The computer graphics community has proposed techniques for light rendering that are used for its thermal counterpart. In this work, a physically based simulation methodology based on a combination of the finite element method (FEM) and ray tracing is presented. The proposed methods were tested using a highly detailed urban geometry. Directional emissivity models, glossy reflectivity functions and importance sampling were used to render thermal images. The simulation results were compared with a set of measured thermograms, showing good agreement between them.

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Multiscale Analysis as a Central Component of Urban Physics Modeling

Beckers

2016

Computational Methods in Applied Sciences

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Radiation Modeling Using the Finite Element Method

Cited by 3 publications

References 1 publication

Sky vault partition for computing daylight availability and shortwave energy budget on an urban scale

Sky vault partition for computing daylight availability and shortwave energy budget on an urban scale

Physically Based Simulation and Rendering of Urban Thermography

Multiscale Analysis as a Central Component of Urban Physics Modeling

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