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Parallel computations of the step response of a floor heater with the use of a graphics processing unit. Part 2: results and their evaluation

Gołębiowski J., Forenc J.

Bulletin of the Polish Academy of Sciences. Technical Sciences

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2013

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Vol. 61, nr 4

949--954

EN

Using models and algorithms presented in the first part of the article, a spatio-temporal distribution of the step response of a floor heater was determined. The results have been presented in the form of heating curves and temperature profiles of the heater in the selected time moments. The computations results were verified through comparing them with the solution obtained with the use of a commercial program - NISA. Additionally, the distribution of the average time constant of thermal processes occurring in the heater was determined. The analysis of the use of a graphics processing unit in numerical computations based on the conjugate gradient method was done. It was proved that the use of a graphics processing unit is profitable in the case of solving linear systems of equations with dense coefficient matrices. In the case of a sparse matrix, the speed-up depends on the number of its non-zero elements.

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Parallel computations of the step response of a floor heater with the use of a graphics processing unit. Part 1: models and algorithms

Gołębiowski J., Forenc J.

Bulletin of the Polish Academy of Sciences. Technical Sciences

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2013

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Vol. 61, nr 4

943--948

EN

The article presents a method of computing the step response of an air floor heater. The method implements parallel algorithms on a graphics processing unit. In the analyzed concrete slab heating ducts are placed. Hot air is transferred through them, thanks to which the heat penetrates into the slab. Heat transfer into the environment takes place on the top surface of the floor by natural convection and radiation. The bottom surface of the slab is thermally insulated. A two-dimensional heat equation was discretized with the use of the implicit finite difference method. In order to solve the obtained system of equations, the conjugate gradient method was used. Moreover, in order to examine the possibility of shortening the computations time, the algorithm of this method was implemented on a graphics processing unit. A computer program, using the CUDA parallel computing platform and linear algebra libraries CUBLAS and CUSPARSE, was developed.

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Analiza pracy płytowego fundamentu grzewczego

Belok J., Wilk-Słomka B.

Fizyka Budowli w Teorii i Praktyce

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2011

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T. 6, nr 4

9--14

PL

W artykule przeanalizowano możliwości zastosowania płytowego fundamentu grzewczego z powietrznym ogrzewaniem podłogowym [5] w budynku jednorodzinnym. Rozpatrywano warianty zapewniające uzyskanie komfortu cieplnego, projektowej temperatury powietrza w pomieszczeniu, obliczeniowego zapotrzebowania na ciepło dla budynku, przy zastosowaniu do ogrzewania pomieszczenia nagrzewnicy elektrycznej oraz zadanej grubości fundamentu.

EN

In the article possibilities of using the plate heating foundation with the air floor heating [5] at the single-family building were analysed. Variants guaranteeing obtaining thermal comfort, design air temperature in the room, computational demand for the heating of building, at applying the electric and set stove for heating air up thicknesses of the foundation were being considered.