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Journal articles on the topic 'Spherical harmonics of the parasitic radiation'

Author: Grafiati

Published: 4 June 2021

Last updated: 18 February 2022

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1

Doicu, Adrian, Michael I. Mishchenko, Dmitry S. Efremenko, and Thomas Trautmann. "Spectral spherical harmonics discrete ordinate method." Journal of Quantitative Spectroscopy and Radiative Transfer 258 (January 2021): 107386. http://dx.doi.org/10.1016/j.jqsrt.2020.107386.

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2

Andrienko, Daniil A., Sergey T. Surzhikov, and Joseph S. Shang. "Spherical harmonics method applied to the multi-dimensional radiation transfer." Computer Physics Communications 184, no. 10 (2013): 2287–98. http://dx.doi.org/10.1016/j.cpc.2013.05.015.

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3

Caviedes-Nozal, Diego, Franz M. Heuchel, Jonas Brunskog, Nicolai A. B. Riis, and Efren Fernandez-Grande. "A Bayesian spherical harmonics source radiation model for sound field control." Journal of the Acoustical Society of America 146, no. 5 (2019): 3425–35. http://dx.doi.org/10.1121/1.5133384.

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4

Edjlali, Ehsan, and Yves Bérubé-Lauzière. "Analytical solution of the simplified spherical harmonics equations in spherical turbid media." Journal of Quantitative Spectroscopy and Radiative Transfer 182 (October 2016): 112–18. http://dx.doi.org/10.1016/j.jqsrt.2016.05.025.

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5

Wells, Willard H., and John J. Sidorowich. "Computational techniques for radiative transfer by spherical harmonics." Journal of Quantitative Spectroscopy and Radiative Transfer 33, no. 4 (1985): 347–63. http://dx.doi.org/10.1016/0022-4073(85)90196-7.

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6

Takeuchi, Yoshiaki. "Use of spherical harmonics in the solution of the radiation transfer problem." Journal of Quantitative Spectroscopy and Radiative Transfer 39, no. 3 (1988): 237–45. http://dx.doi.org/10.1016/s0022-4073(88)90086-6.

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7

Siewert, C. E. "A spherical-harmonics method for multi-group or non-gray radiation transport." Journal of Quantitative Spectroscopy and Radiative Transfer 49, no. 2 (1993): 95–106. http://dx.doi.org/10.1016/0022-4073(93)90050-r.

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8

Fokou, Arantes, Romuald Tapimo, Guillaume Lambou Ymeli, Réné Tchinda, and Hervé Thierry Tagne Kamdem. "Radiation distribution in inhomogeneous atmosphere-ocean system by discrete spherical harmonics method." Journal of Quantitative Spectroscopy and Radiative Transfer 270 (August 2021): 107707. http://dx.doi.org/10.1016/j.jqsrt.2021.107707.

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9

Hosseinbeig, Ahmad, Manoochehr Kamyab, and Javad S. Meiguni. "Spherical Probe-Fed Antennas with Parasitic Elements." Electromagnetics 33, no. 4 (2013): 281–91. http://dx.doi.org/10.1080/02726343.2013.777318.

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10

Jen-Hui Tsai. "Double spherical harmonics approximation applied to combined conduction-radiation in a planar medium." International Communications in Heat and Mass Transfer 18, no. 5 (1991): 741–56. http://dx.doi.org/10.1016/0735-1933(91)90085-i.

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11

Aydin, E. D., C. R. E. de Oliveira, and A. J. H. Goddard. "A finite element-spherical harmonics radiation transport model for photon migration in turbid media." Journal of Quantitative Spectroscopy and Radiative Transfer 84, no. 3 (2004): 247–60. http://dx.doi.org/10.1016/s0022-4073(03)00180-8.

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12

Radice, David, Ernazar Abdikamalov, Luciano Rezzolla, and Christian D. Ott. "A new spherical harmonics scheme for multi-dimensional radiation transport I. Static matter configurations." Journal of Computational Physics 242 (June 2013): 648–69. http://dx.doi.org/10.1016/j.jcp.2013.01.048.

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13

Huang, Yun Bao, Zi Rong Zeng, Shao En Jiang, Qi Fu Wang, and Li Ping Chen. "Compressive Sensing for the Symmetry Distribution Analysis of Thermal Radiation on the Capsule inside a Cylindrical Hohlraum." Advanced Materials Research 317-319 (August 2011): 511–15. http://dx.doi.org/10.4028/www.scientific.net/amr.317-319.511.

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The symmetric implosion of the pellet is very important in an inertial confinement fusion (ICF) system. The evaluation of symmetric distribution on the ICF pellet is time and memory consuming, especially when the elements of cylindrical hohlraums are iteratively subdivided. A novel compressive sensing (CS) based approach is presented in this paper to accurately valuate the distribution symmetry with much less computation. The core idea is that, the thermal radiation distribution is transformed in the spherical harmonic field, and the sparsity of spherical harmonics is accurately evaluated thro

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14

Deshmukh, Kshitij V., Michael F. Modest, and Daniel C. Haworth. "HIGHER-ORDER SPHERICAL HARMONICS TO MODEL RADIATION IN DIRECT NUMERICAL SIMULATION OF TURBULENT REACTING FLOWS." Computational Thermal Sciences 1, no. 2 (2009): 207–30. http://dx.doi.org/10.1615/computthermalscien.v1.i2.60.

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15

Allard, R. J., and D. H. Werner. "The model-based parameter estimation of antenna radiation patterns using windowed interpolation and spherical harmonics." IEEE Transactions on Antennas and Propagation 51, no. 8 (2003): 1891–906. http://dx.doi.org/10.1109/tap.2003.815419.

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16

Olson, Gordon L. "Alternate closures for radiation transport using Legendre polynomials in 1D and spherical harmonics in 2D." Journal of Computational Physics 231, no. 7 (2012): 2786–93. http://dx.doi.org/10.1016/j.jcp.2011.12.013.

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17

Aydin, E. D., S. Katsimichas, and C. R. E. de Oliveira. "Time-dependent diffusion and transport calculations using a finite-element-spherical harmonics method." Journal of Quantitative Spectroscopy and Radiative Transfer 95, no. 3 (2005): 349–63. http://dx.doi.org/10.1016/j.jqsrt.2004.11.003.

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18

Majic, Matt. "Electrostatic T-matrix for a torus on bases of toroidal and spherical harmonics." Journal of Quantitative Spectroscopy and Radiative Transfer 235 (September 2019): 287–99. http://dx.doi.org/10.1016/j.jqsrt.2019.07.010.

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19

Majic, Matt. "Relationships between spherical and bispherical harmonics, and an electrostatic T-matrix for dimers." Journal of Quantitative Spectroscopy and Radiative Transfer 276 (December 2021): 107945. http://dx.doi.org/10.1016/j.jqsrt.2021.107945.

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20

Aydin, E. D., C. R. E. de Oliveira, and A. J. H. Goddard. "A comparison between transport and diffusion calculations using a finite element-spherical harmonics radiation transport method." Medical Physics 29, no. 9 (2002): 2013–23. http://dx.doi.org/10.1118/1.1500404.

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21

Muldashev, T. Z., and U. M. Sultangazin. "The method of spherical harmonics for solving the radiation transfer problem in a plane-parallel atmosphere." USSR Computational Mathematics and Mathematical Physics 26, no. 3 (1986): 151–59. http://dx.doi.org/10.1016/0041-5553(86)90128-x.

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22

Amri, Sayful, Faiz Rohman Fajary, and Tri Wahyu Hadi. "Analysis of Synoptic Disturbance in Maritim Continent Using Spherical Harmonics Transformation Method." Agromet 34, no. 2 (2020): 89–99. http://dx.doi.org/10.29244/j.agromet.34.2.89-99.

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This study aims to modify the idea of WK99-analyzing the existence of signature in wave-number and frequency spectrum when the analyzed Outgoing Longwave Radiation (OLR) data is associated with a unique phenomenon in Maritime Continent (MC), Borneo vortex (BV). Although BV is often related to easterly equatorial wave disturbances, there was no specific study to examine its behavior in the spectral domain. The purpose of this study is to develop a method to diagnose certain signatures of BV through spectrum analysis of OLR data when BV occurs. In contrast to previous studies, to present

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23

Shimomura, Taisei, and Akihiro Haga. "Computed tomography image representation using the Legendre polynomial and spherical harmonics functions." Radiological Physics and Technology 14, no. 1 (2021): 113–21. http://dx.doi.org/10.1007/s12194-020-00604-0.

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24

Wang, Chunwei, Jianqi Shen, and Kuan-Fang Ren. "Spherical harmonics expansion of the evanescent waves in angular spectrum decomposition of shaped beams." Journal of Quantitative Spectroscopy and Radiative Transfer 251 (August 2020): 107012. http://dx.doi.org/10.1016/j.jqsrt.2020.107012.

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25

Capilla, M. T., C. F. Talavera, D. Ginestar, and G. Verdú. "A study of the radiative transfer equation using a spherical harmonics-nodal collocation method." Journal of Quantitative Spectroscopy and Radiative Transfer 189 (March 2017): 25–36. http://dx.doi.org/10.1016/j.jqsrt.2016.11.008.

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26

Chen, Sen, and Sheng-Nian Luo. "Small-angle scattering of polychromatic X-rays: effects of bandwidth, spectral shape and high harmonics." Journal of Synchrotron Radiation 25, no. 2 (2018): 496–504. http://dx.doi.org/10.1107/s1600577517018355.

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Polychromatic X-ray sources can be useful for photon-starved small-angle X-ray scattering given their high spectral fluxes. Their bandwidths, however, are 10–100 times larger than those using monochromators. To explore the feasibility, ideal scattering curves of homogeneous spherical particles for polychromatic X-rays are calculated and analyzed using the Guinier approach, maximum entropy and regularization methods. Monodisperse and polydisperse systems are explored. The influence of bandwidth and asymmetric spectra shape are exploredviaGaussian and half-Gaussian spectra. Synchrotron undulator

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27

LEONENKO, NIKOLAI N., and NARN-RUEIH SHIEH. "RÉNYI FUNCTION FOR MULTIFRACTAL RANDOM FIELDS." Fractals 21, no. 02 (2013): 1350009. http://dx.doi.org/10.1142/s0218348x13500096.

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This paper presents the basic scheme and the log-normal, log-gamma and log-negative-inverted-gamma scenarios to establish the Rényi function for infinite products of homogeneous isotropic random fields on Rn; in particular for random fields on the sphere in R3. The motivation of this paper is the test of (non-)Gaussianity on the Cosmic Microwave Background Radiation (CMBR) in Cosmology. In the presentation, we need to employ spherical harmonics for some concrete computations.

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28

Bogatyreva, N., M. Bartlová, V. Aubrecht, and P. Kloc. "Approximate Determination of Radiation Properties in the Arc Plasmas With Admixtures of Copper Vapours." Plasma Physics and Technology Journal 6, no. 3 (2019): 265–69. http://dx.doi.org/10.14311/ppt.2019.3.265.

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The aim of this paper is to evaluate radiation properties of air arc plasmas with various admixtures of copper vapours. The first order of the method of spherical harmonics (P<sub>1</sub>-approximation) has been used as the way to solve the equation of radiation transfer. Calculations of the absorption coefficients for a thermal plasma have been performed as a function of the temperature and the frequency. The frequency variable in the equation of transfer was handled by means of multigroup method. Methods for prediction of the average absorption coefficients were described and com

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29

Olson, Gordon L. "Gray radiation transport models for two-dimensional binary stochastic media with material temperature coupling using spherical harmonics." Journal of Quantitative Spectroscopy and Radiative Transfer 148 (November 2014): 127–33. http://dx.doi.org/10.1016/j.jqsrt.2014.07.002.

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30

Schroeder, A., H. D. Bruens, and C. Schuster. "Efficient Compression of Far Field Matrices in Multipole Algorithms based on Spherical Harmonics and Radiating Modes." Advanced Electromagnetics 1, no. 2 (2012): 5. http://dx.doi.org/10.7716/aem.v1i2.24.

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This paper proposes a compression of far field matrices in the fast multipole method and its multilevel extension for electromagnetic problems. The compression is based on a spherical harmonic representation of radiation patterns in conjunction with a radiating mode expression of the surface current. The method is applied to study near field effects and the far field of an antenna placed on a ship surface. Furthermore, the electromagnetic scattering of an electrically large plate is investigated. It is demonstrated, that the proposed technique leads to a significant memory saving, making multi

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31

Bayazitoglu, Y., and P. V. R. Suryanarayana. "Transient Radiative Heat Transfer From a Sphere Surrounded by a Participating Medium." Journal of Heat Transfer 111, no. 3 (1989): 713–18. http://dx.doi.org/10.1115/1.3250741.

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Transient radiative cooling of a solid or liquid sphere in space, surrounded by a radiatively participating vapor cloud, is considered. A quasi-steady assumption is applied to the radiation transfer in the medium, with the unsteadiness being retained at the inner spherical boundary. The problem is solved by applying the third-order (P3) spherical harmonics approximation to the radiative transfer equation for the participating cloud, and a finite difference scheme for transient conduction in the sphere. In general, the presence of a participating medium decreases the cooling rate of the sphere,

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32

Ананьева, М. В., А. А. Звеков та А. В. Каленский. "Моделирование оптоакустических сигналов в системе с упругим рассеянием и поглощением света". Письма в журнал технической физики 45, № 7 (2019): 45. http://dx.doi.org/10.21883/pjtf.2019.07.47538.17554.

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AbstractWe propose a method for simulating optoacoustic signals initiated by a laser pulse in an absorbing medium with elastic radiation scattering and carry out corresponding calculations. It is shown that the use of the method of spherical harmonics allows obtaining an analytical expression for the optoacoustic signal. The deviation of the absorption profile from the Bouguer type near the sample surface leads to a strong influence of the medium parameters on the position of the signal maximum. The growth of the albedo of onefold scattering leads to a decrease in the effective signal growth c

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33

Mengu¨c¸, M. P., and R. Viskanta. "Radiative Transfer in Axisymmetric, Finite Cylindrical Enclosures." Journal of Heat Transfer 108, no. 2 (1986): 271–76. http://dx.doi.org/10.1115/1.3246915.

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A solution of the radiative transfer equation for an axisymmetric cylindrical enclosure containing radiatively participating gases and particles is presented. Nonhomogeneities of the radiative properties of the medium as well as of the radiation characteristics of the boundaries are allowed for, and the boundaries are assumed to be diffusely emitting and reflecting. The scattering phase function is represented by the delta-Eddington approximation to account for highly forward scattering by particulates. The model for radiative transfer is based on the P1 and P3-spherical harmonics approximatio

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34

Harris, J. A. "Solution of the Conduction/Radiation Problem With Linear-Anisotropic Scattering in an Annular Medium by the Spherical Harmonics Method." Journal of Heat Transfer 111, no. 1 (1989): 194–97. http://dx.doi.org/10.1115/1.3250647.

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35

Liu, Jinbo, Mang He, Zengrui Li, and Jianxun Su. "The Application of Improved Spherical Harmonics Expansion-Based Multilevel Fast Multipole Algorithm in the Solution of Volume-Surface Integral Equation." International Journal of Antennas and Propagation 2018 (2018): 1–7. http://dx.doi.org/10.1155/2018/8267504.

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During the solution of volume-surface integral equation (VSIE), to reduce the core memory requirement of the radiation patterns (RPs) of the basis functions, an improved spherical harmonics expansion-based multilevel fast multipole algorithm (SE-MLFMA) using the mixed-potential representation and the triangle-/tetrahedron-based grouping scheme is applied. Numerical results show that accompanying with a faster speed, the memory requirement of the RPs in the improved SE-MLFMA is several times less than that in the conventional MLFMA without compromising accuracy. A result employing the OpenMP pa

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36

Modest, Michael F., and Jun Yang. "Elliptic PDE formulation and boundary conditions of the spherical harmonics method of arbitrary order for general three-dimensional geometries." Journal of Quantitative Spectroscopy and Radiative Transfer 109, no. 9 (2008): 1641–66. http://dx.doi.org/10.1016/j.jqsrt.2007.12.018.

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37

Xu, C. M., and X. J. Wu. "Gravitational Lens Effects of Dark Matter of Milky Way." Symposium - International Astronomical Union 124 (1987): 771–73. http://dx.doi.org/10.1017/s007418090015990x.

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In this paper, dark matter of Milky Way is discussed as a transparent gravitational lens. The mass distribution of Milky Way is composed of spheroid, disk and dark matter (corona). The trajectory of light ray influnced by Milky Way has been calculated numerically. The deflecting angle to a extragalactic souce is changed with different observational direction and is about several seconds in maximum. The brightness amplification ratio Kv of extragalactic background radiation is also derived from the redistribution of intensity due to the gravitational lens effects of Milky Way, ΔKv/Kv is about 1

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38

Zhang, Y. W., L. S. Sheng, G. B. Zhang, and H. Gao. "Optical design of the NSRL undulator beamline." Journal of Synchrotron Radiation 5, no. 3 (1998): 559–61. http://dx.doi.org/10.1107/s0909049598000478.

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The optical design of the NSRL undulator beamline is presented. The NSRL undulator has 29 periods of 9.2 cm that produce a photon energy of 7.7–124 eV with the fundamental and third harmonics at a ring energy of 800 MeV. The beamline consists of a typical Kirkpatrick–Baez prefocusing mirror system, a modified spherical-grating monochromator (SGM) and a refocusing toroidal mirror. The monochromator has two including angles of 148 and 157° with two plane mirrors inserted into the entrance arm in order to cover the wide energy range with high grating diffraction efficiency. Calculation shows that

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39

Guzik, Joyce A., T. H. Morgan, N. J. Nelson, et al. "2-D and 3-D models of convective turbulence and oscillations in intermediate-mass main-sequence stars." Proceedings of the International Astronomical Union 11, A29B (2015): 540–43. http://dx.doi.org/10.1017/s1743921316006086.

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AbstractWe present multidimensional modeling of convection and oscillations in main-sequence stars somewhat more massive than the Sun, using three separate approaches: 1) Using the 3-D planar StellarBox radiation hydrodynamics code to model the envelope convection zone and part of the radiative zone. Our goals are to examine the interaction of stellar pulsations with turbulent convection in the envelope, excitation of acoustic modes, and the role of convective overshooting; 2) Applying the spherical 3-D MHD ASH (Anelastic Spherical Harmonics) code to simulate the core convection and radiative

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40

Elnaggar, Hebatalla, Maurits W. Haverkort, Mai Hussein Hamed, Sarnjeet S. Dhesi, and Frank M. F. de Groot. "Tensor description of X-ray magnetic dichroism at the Fe L 2,3-edges of Fe3O4." Journal of Synchrotron Radiation 28, no. 1 (2021): 247–58. http://dx.doi.org/10.1107/s1600577520015027.

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A procedure to build the optical conductivity tensor that describes the full magneto-optical response of the system from experimental measurements is presented. Applied to the Fe L 2,3-edge of a 38.85 nm Fe3O4/SrTiO3 (001) thin-film, it is shown that the computed polarization dependence using the conductivity tensor is in excellent agreement with that experimentally measured. Furthermore, the magnetic field angular dependence is discussed using a set of fundamental spectra expanded on spherical harmonics. It is shown that the convergence of this expansion depends on the details of the ground s

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41

Chen, Yixue, Bin Zhang, Liang Zhang, Junxiao Zheng, Ying Zheng, and Cong Liu. "ARES: A Parallel Discrete Ordinates Transport Code for Radiation Shielding Applications and Reactor Physics Analysis." Science and Technology of Nuclear Installations 2017 (2017): 1–11. http://dx.doi.org/10.1155/2017/2596727.

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ARES is a multidimensional parallel discrete ordinates particle transport code with arbitrary order anisotropic scattering. It can be applied to a wide variety of radiation shielding calculations and reactor physics analysis. ARES uses state-of-the-art solution methods to obtain accurate solutions to the linear Boltzmann transport equation. A multigroup discretization is applied in energy. The code allows multiple spatial discretization schemes and solution methodologies. ARES currently provides diamond difference with or without linear-zero flux fixup, theta weighted, directional theta weight

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42

Mitchell, L. D., J. C. Margeson, and P. S. Whitfield. "Quantitative Rietveld analysis of hydrated cementitious systems." Powder Diffraction 21, no. 2 (2006): 111–13. http://dx.doi.org/10.1154/1.2204056.

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A study examining the feasibility, and possible necessity, of using transmission data from capillary mounted samples for quantitative analysis of hydrated cement systems was conducted. In order to obtain true quantitative results, the amorphous contents were determined by the addition of an internal standard. The amorphous content of the starting tricalcium silicate was found to be approximately 21–22 wt %, in close agreement with previously published results. The study revealed that the spherical harmonics preferential orientation correction may not be reliable with unmicronized hydrated ceme

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43

Sitepu, Husin. "In situ structural and texture analyses of monoclinic phase for polycrystalline Ni-rich Ti49.86Ni50.14 alloy from neutron diffraction data." Powder Diffraction 23, no. 1 (2008): 35–40. http://dx.doi.org/10.1154/1.2839141.

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Phase transformation temperatures of a polycrystalline Ni-rich Ti49.86Ni50.14 shape memory alloy were investigated using a differential scanning calorimeter. In situ structural and texture analyses of the monoclinic Ti49.86Ni50.14 were investigated using neutron powder diffractometer technique. Differential scanning calorimeter results showed that this Ni-rich alloy has a one-step cubic to monoclinic martensitic phase transformation on cooling and a one-step monoclinic to cubic transformation on heating. In situ high-resolution neutron powder diffraction data of the monoclinic phase from low t

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44

Jones, Alexandra L., and Larry Di Girolamo. "Design and Verification of a New Monochromatic Thermal Emission Component for the I3RC Community Monte Carlo Model." Journal of the Atmospheric Sciences 75, no. 3 (2018): 885–906. http://dx.doi.org/10.1175/jas-d-17-0251.1.

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Abstract The Intercomparison of 3D Radiation Codes (I3RC) community Monte Carlo model has been extended to include a source of photon emission from the surface and atmosphere, thereby making it capable of simulating scalar radiative transfer in a 3D scattering, absorbing, and emitting domain with both internal and external sources. The theoretical basis, computational implementation, verification of the internal emission, and computational performance of the resulting model, the “IMC+emission,” is presented. Thorough verification includes fundamental tests of reciprocity and energy conservatio

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45

Tong, T. W., and S. B. Sathe. "Heat Transfer Characteristics of Porous Radiant Burners." Journal of Heat Transfer 113, no. 2 (1991): 423–28. http://dx.doi.org/10.1115/1.2910578.

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This paper reports a numerical study of the heat transfer characteristics of porous radiant burners, which have significant advantages over conventional burners. The heat transfer characteristics are investigated using a one-dimensional conduction, convection, and radiation model. The combustion phenomenon is modeled as spatially dependent heat generation. Nonlocal thermal equilibrium between the gas and solid phases is accounted for by using separate energy equations for the two phases. The solid matrix is assumed to emit, absorb, and scatter radiant energy. The spherical harmonics approximat

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46

Volz, H. M., S. C. Vogel, C. T. Necker, et al. "Rietveld texture analysis by neutron diffraction of highly absorbing materials." Powder Diffraction 21, no. 2 (2006): 114–17. http://dx.doi.org/10.1154/1.2204058.

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We discuss the impact of strong absorption for thermal neutrons on data analysis and compare absorption corrections in the GSAS and MAUD Rietveld codes for texture and structural parameter refinement. Diffraction data were collected on the neutron powder diffractometer HIPPO at LANSCE from dysprosium and erbium, which are moderate-to-strong absorbers for thermal neutrons with absorption cross sections of 159 barns for Er and 994 barns for Dy at λ=1.8 Å. Both elements have hexagonal-close-packed (hcp) crystal structures, and the samples were various thicknesses of rolled foils. The orientation

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47

Papadopoulos, K., G. Siltzovalis, M. I. Savva, et al. "An improved method to determine neutron fluence in high energy medical accelerators using activation detectors." HNPS Proceedings 26 (April 1, 2019): 239. http://dx.doi.org/10.12681/hnps.1830.

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Scope of the present work was to test the hypothesis that a generic simulation geometry can adequately describe a high energy medical accelerator head for the purpose of estimating the parasitic neutron fluence levels at the position of the isocenter. The experiment was performed using an Elekta Synergy 18 MV linear accelerator. Gold, cobalt, indium and copper activation foils were used. Activation measurements were performed using a calibrated HPGe detector based spectrometry system. Four generic accelerator head models were considered. Neutron spectrum averaged cross-section data for each fo

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48

Wang, Biao. "A Unified Formulation of Radiative Transfer in Plane-Parallel Atmospheres Based on General Decomposition of Radiance. Part II: An Exemplifying Application to the Hemispherical Harmonics Method with Four Components." Journal of the Atmospheric Sciences 74, no. 12 (2017): 4153–76. http://dx.doi.org/10.1175/jas-d-17-0024.1.

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Abstract Based on the unified formulation, the so-called hemispherical harmonics method with four components (HSHM4) is derived following the general procedure described in the first paper of this series. The numerical results of this method, including the flux reflections, transmissions, and absorptions for different optical depths, incident beam angles, and single-scattering albedos and the emissions for different optical depths and single-scattering albedos, are reported, in comparison with the results of DISORT with 128 streams as a benchmark. The application of the method to the radiation

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49

Liu, Xiaodong, and Jürgen Schmidt. "Configuration of the Martian dust rings: shapes, densities, and size distributions from direct integrations of particle trajectories." Monthly Notices of the Royal Astronomical Society 500, no. 3 (2020): 2979–85. http://dx.doi.org/10.1093/mnras/staa3084.

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ABSTRACT It is expected since the early 1970s that tenuous dust rings are formed by grains ejected from the Martian moons Phobos and Deimos by impacts of hypervelocity interplanetary projectiles. In this paper, we perform direct numerical integrations of a large number of dust particles originating from Phobos and Deimos. In the numerical simulations, the most relevant forces acting on the dust are included: Martian gravity with spherical harmonics up to fifth degree and fifth order, gravitational perturbations from the Sun, Phobos, and Deimos, solar radiation pressure, as well as the Poynting

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Pang, Yik Siang, Woon Phui Law, Kang Qin Pung, and Jolius Gimbun. "A Computational Fluid Dynamics Study of Turbulence, Radiation, and Combustion Models for Natural Gas Combustion Burner." Bulletin of Chemical Reaction Engineering & Catalysis 13, no. 1 (2018): 155. http://dx.doi.org/10.9767/bcrec.13.1.1395.155-169.

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This paper presents a Computational Fluid Dynamics (CFD) study of a natural gas combustion burner focusing on the effect of combustion, thermal radiation and turbulence models on the temperature and chemical species concentration fields. The combustion was modelled using the finite rate/eddy dissipation (FR/EDM) and partially premixed flame models. Detailed chemistry kinetics CHEMKIN GRI-MECH 3.0 consisting of 325 reactions was employed to model the methane combustion. Discrete ordinates (DO) and spherical harmonics (P1) model were employed to predict the thermal radiation. The gas absorption

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