Evaluation of the CPU time for solving the radiative transfer equation with high-order resolution schemes applying the normalized weighting-factor method

Xamán, J.; Zavala-Guillén, I.; Hernández-López, I.; Uriarte-Flores, J.; Hernández-Pérez, I.; Macías-Melo, E.V.; Aguilar-Castro, K.M.

doi:10.1016/j.jqsrt.2017.12.030

Cited by 6 publications

(6 citation statements)

References 35 publications

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“…The initial guessed intensity field is zero, it is used for all configurations and the STEP scheme is used in the first iteration. Equation ( 17) (Xam an et al, 2018a(Xam an et al, , 2018b expresses the relative improvements on CPU time for the numerical solution between the DC procedure and DC Evolutive that apply (1 þ 1)-ES-RTE optimization.…”

Section: Study Cases Experimental Results and Discussionmentioning

confidence: 99%

“…Results showed that the parallel method converged 35 times more than a sequential methodology. Xam an et al (2018aXam an et al ( , 2018b implemented the NWF EC 38,6 method to reduce the CPU time in the numerical solution of the radiative transfer equation (RTE) using HO and HR schemes. Results showed that modified relaxation factors using NWF and DC procedures reduce the computational cost by 219% and 75.4%, respectively.…”

mentioning

confidence: 99%

“…Results showed that modified relaxation factors using NWF and DC procedures reduce the computational cost by 219% and 75.4%, respectively. (Xam an et al, 2018a(Xam an et al, , 2018bTorres-Aguilar et al, 2020). Dragojlovic et al (2001) and Juntaek Ryoo et al (2005) proposed two approaches based on fuzzy logic to determine the suitable relaxation coefficients to solve some examples of computational fluid dynamics (CFD).…”

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confidence: 99%

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An evolutionary algorithm for controlling numerical convergence of the radiative transfer equation with participating media using TVD interpolation schemes

Torres-Aguilar

Moreno-Bernal

Xamán

et al. 2021

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Purpose This paper aims to present an evolutionary algorithm (EA) to accelerate the convergence for the radiative transfer equation (RTE) numerical solution using high-order and high-resolution schemes by the relaxation coefficients optimization. Design methodology/approach The objective function minimizes the residual value difference between iterations in each control volume until its difference is lower than the convergence criterion. The EA approach is evaluated in two configurations, a two-dimensional cavity with scattering media and absorbing media. Findings Experimental results show the capacity to obtain the numerical solution for both cases on all interpolation schemes tested by the EA approach. The EA approach reduces CPU time for the RTE numerical solution using SUPERBEE, SWEBY and MUSCL schemes until 97% and 135% in scattering and absorbing media cases, respectively. The relaxation coefficients optimized every two numerical solution iterations achieve a significant reduction of the CPU time compared to the deferred correction procedure with fixed relaxation coefficients. Originality/value The proposed EA approach for the RTE numerical solution effectively reduces the CPU time compared to the DC procedure with fixed relaxation coefficients.

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Section: Study Cases Experimental Results and Discussionmentioning

confidence: 99%

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confidence: 99%

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confidence: 99%

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An evolutionary algorithm for controlling numerical convergence of the radiative transfer equation with participating media using TVD interpolation schemes

Torres-Aguilar

Moreno-Bernal

Xamán

et al. 2021

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“…Waktu CPU (The Fraction Of CPU Time) maksudnya adalah jumlah persentase berapa lama CPU dalam menangani proses pengeksekusian intruksi, untuk Menghitung fraksi waktu CPU (CPU TIME) membutuhkan beberapa data yaitu : kecepatan transfer, Kecepatan transfer yang dimaksud didalam rumus tersebut merupakan kecepatan dari perangkat I/O dalam mentrasfer data, Clockspeed merupakan kecepatan dari CPU atau prosessor. Cyclus adalah waktu yang diperlukan untuk pelaksanaan satu operasi prosesor sederhana seperti perkalian,pengurangan,penambahan,perkalian,pembagian dan lain-lain atau bisa juga memiliki pengertian lain yaitu waktu yang digunakan untuk pengambilan (fetching) dan eksekusi perintah (execution) sebuah intruksi [10]. Block merupakan unit pada alokasi tempat penyimpanan dan juga transfer data biasanya berisi sejumlah seluruh catatan, memiliki panjang maksimum, dan ukuran blok.…”

Section: Metodeunclassified

Direct Memory Access untuk Menghitung Waktu Prosesor Intel Celeron N2840 dan AMD A8-7410 dalam Menangani Transfer Data

et al. 2019

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Penelitian ini bertujuan untuk mengetahui waktu yang dibutuhkan oleh prosesor Intel Celeron N2840 dan AMD A8-7410 dalam menangani transfer data dengan metode Direct Memory Access (DMA), sehingga dapat mengetahui prosesor yang lebih cepat dan efisien untuk digunakan dalam proses transfer data jika menggunakan DMA. Hasil perhitungan tersebut dapat menjadi indikator seberapa cepat atau lambat prosesor tersebut dalam menangani proses transfer data. Penelitian ini menggunakan 2 jenis prosesor, yang pertama yaitu Intel Celeron N2840 dengan kecepatan sebesar 2.16 GHz dan memiliki clockspeed sebesar 2583 MHz, sedangkan yang kedua yaitu AMD A8-7410 dengan kecepatan sebesar 2.20 GHz dan memiliki clockspeed sebesar 2395 MHz. Metode yang digunakan adalah direct memory access untuk menghitung waktu prosesor pada saat proses transfer data, beberapa data yang digunakan dalam perhitungan yaitu kecepatan transfer, clockspeed, cyclus dan block. Hasil perhitungan untuk prosesor Intel Celeron N2840 sebesar 20,90592334% waktu prosesor yang dibutuhkan pada saat transfer data dengan DMA, sedangkan untuk prosesor AMD A8-7410 sebesar 22,96450939 % waktu prosesor yang dibutuhkan pada saat transfer data dengan DMA. Dari hasil perhitungan waktu kedua prosesor tersebut dapat diambil kesimpulan bahwa prosesor Intel Celeron N2840 memiliki persentase lebih sedikit, sehingga dalam menangani transfer data, prosessor Intel Celeron N2840 lebih cepat dari pada prosessor AMD A8-7410 karena waktu yang digunakan dalam proses tersebut lebih sedikit.

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“…In references [8,9], the convergence rate to solve a radiative transfer equation with several high-order and high-resolution schemes, applying the normalized weighting-factor method (WFM), is evaluated. In reference [8], the WFM convergence time is compared with that obtained by a deferred correction (DC) technique. Experimental results indicate a time reduction rate of 23.1%, 12.6% and 56.1% of WFM over DC, using three different schemes.…”

Section: Introductionmentioning

confidence: 99%

Metaheuristic to Optimize Computational Convergence in Convection-Diffusion and Driven-Cavity Problems

Enríquez-Urbano¹,

Cruz-Chávez²,

Rivera-López

et al. 2021

Mathematics

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This work presents an optimization proposal to better the computational convergence time in convection-diffusion and driven-cavity problems by applying a simulated annealing (SA) metaheuristic, obtaining optimal values in relaxation factors (RF) that optimize the problem convergence during its numerical execution. These relaxation factors are tested in numerical models to accelerate their computational convergence in a shorter time. The experimental results show that the relaxation factors obtained by the SA algorithm improve the computational time of the problem convergence regardless of user experience in the initial low-quality RF proposal.

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Evaluation of the CPU time for solving the radiative transfer equation with high-order resolution schemes applying the normalized weighting-factor method

Cited by 6 publications

References 35 publications

An evolutionary algorithm for controlling numerical convergence of the radiative transfer equation with participating media using TVD interpolation schemes

An evolutionary algorithm for controlling numerical convergence of the radiative transfer equation with participating media using TVD interpolation schemes

Direct Memory Access untuk Menghitung Waktu Prosesor Intel Celeron N2840 dan AMD A8-7410 dalam Menangani Transfer Data

Metaheuristic to Optimize Computational Convergence in Convection-Diffusion and Driven-Cavity Problems

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