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Relevant bibliographies by topics / Spherical Harmonic method

Academic literature on the topic 'Spherical Harmonic method'

Author: Grafiati

Published: 18 May 2024

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Journal articles on the topic "Spherical Harmonic method"

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Snape-Jenkinson, C. J., S. Crozier, and L. K. Forbes. "NMR shim coil design utilising a rapid spherical harmonic calculation method." ANZIAM Journal 43, no. 3 (January 2002): 375–86. http://dx.doi.org/10.1017/s1446181100012578.

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AbstractA rapid spherical harmonic calculation method is used for the design of Nuclear Magnetic Resonance shim coils. The aim is to design each shim such that it generates a field described purely by a single spherical harmonic. By applying simulated annealing techniques, coil arrangements are produced through the optimal positioning of current-carrying circular arc conductors of rectangular cross-section. This involves minimizing the undesirable harmonics in relation to a target harmonic. The design method is flexible enough to be applied for the production of coil arrangements that generate fields consisting significantly of either zonal or tesseral harmonics. Results are presented for several coil designs which generate tesseral harmonics of degree one.

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Doicu, Adrian, and Dmitry S. Efremenko. "Linearizations of the Spherical Harmonic Discrete Ordinate Method (SHDOM)." Atmosphere 10, no. 6 (May 28, 2019): 292. http://dx.doi.org/10.3390/atmos10060292.

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Linearizations of the spherical harmonic discrete ordinate method (SHDOM) by means of a forward and a forward-adjoint approach are presented. Essentially, SHDOM is specialized for derivative calculations and radiative transfer problems involving the delta-M approximation, the TMS correction, and the adaptive grid splitting, while practical formulas for computing the derivatives in the spherical harmonics space are derived. The accuracies and efficiencies of the proposed methods are analyzed for several test problems.

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Kudlicki, Andrzej, Małgorzata Rowicka, Mirosław Gilski, and Zbyszek Otwinowski. "An efficient routine for computing symmetric real spherical harmonics for high orders of expansion." Journal of Applied Crystallography 38, no. 3 (May 13, 2005): 501–4. http://dx.doi.org/10.1107/s0021889805007685.

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A numerically efficient method of constructing symmetric real spherical harmonics is presented. Symmetric spherical harmonics are real spherical harmonics with built-in invariance with respect to rotations or inversions. Such symmetry-invariant spherical harmonics are linear combinations of non-symmetric ones. They are obtained as eigenvectors of an appropriate operator, depending on symmetry. This approach allows for fast and stable computation up to very high order symmetric harmonic bases, which can be used in e.g. averaging of non-crystallographic symmetry in protein crystallography or refinement of large viruses in electron microscopy.

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Crowley, John W., and Jianliang Huang. "A least-squares method for estimating the correlated error of GRACE models." Geophysical Journal International 221, no. 3 (March 9, 2020): 1736–49. http://dx.doi.org/10.1093/gji/ggaa104.

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SUMMARY A new least-squares method is developed for estimating and removing the correlated errors (stripes) from the Gravity Recovery and Climate Experiment (GRACE) and GRACE Follow-On (GRACE-FO) mission data. This method is based on a joint parametric model of the correlated errors and temporal trends in the spherical harmonic coefficients of GRACE models. Three sets of simulation data are created from the Global Land Data Assimilation System (GLDAS), the Regional Atmospheric Climate Model 2.3 (RACMO2.3) and GRACE models and used to test it. The results show that the new method improves the decorrelation method by Swenson & Wahr significantly. Its application to the release 5 (RL05) and new release 6 (RL06) spherical harmonic solutions from the Center for Space Research (CSR) at The University of Texas at Austin demonstrates its effectiveness and provides a relative assessment of the two releases. A comparison to the Swenson & Wahr and Kusche et al. methods highlights the deficiencies in past destriping methods and shows how the inclusion and decoupling of temporal trends helps to overcome them. A comparison to the CSR mascon and JPL mascon solutions demonstrates that the new method yields global trends that have greater amplitude than those produced by the CSR RL05 mascon solution and are of comparable quality to the JPL RL06 mascon solution. Furthermore, these results are obtained without the need for a priori information, scale factors or complex regularization methods and the solutions remain in the standard form of spherical harmonics rather than discrete mascons. The latter could introduce additional discretization error when converting to the spherical harmonic model, upon which many post-processing methods and applications are built.

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Sun, Huiyuan, Thushara D. Abhayapala, and Prasanga N. Samarasinghe. "Time Domain Spherical Harmonic Processing with Open Spherical Microphones Recording." Applied Sciences 11, no. 3 (January 25, 2021): 1074. http://dx.doi.org/10.3390/app11031074.

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Spherical harmonic analysis has been a widely used approach for spatial audio processing in recent years. Among all applications that benefit from spatial processing, spatial Active Noise Control (ANC) remains unique with its requirement for open spherical microphone arrays to record the residual sound field throughout the continuous region. Ideally, a low delay spherical harmonic recording algorithm for open spherical microphone arrays is desired for real-time spatial ANC systems. Currently, frequency domain algorithms for spherical harmonic decomposition of microphone array recordings are applied in a spatial ANC system. However, a Short Time Fourier Transform is required, which introduces undesirable system delay for ANC systems. In this paper, we develop a time domain spherical harmonic decomposition algorithm for the application of spatial audio recording mainly with benefit to ANC with an open spherical microphone array. Microphone signals are processed by a series of pre-designed finite impulse response (FIR) filters to obtain a set of time domain spherical harmonic coefficients. The time domain coefficients contain the continuous spatial information of the residual sound field. We corroborate the time domain algorithm with a numerical simulation of a fourth order system, and show the proposed method to have lower delay than existing approaches.

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Dwivedi, Priyadarshini, Gyanajyoti Routray, and Rajesh M. Hegde. "Spherical harmonics domain-based approach for source localization in presence of directional interference." JASA Express Letters 2, no. 11 (November 2022): 114802. http://dx.doi.org/10.1121/10.0015243.

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This paper presents a learning-based method for source localization in the presence of directional interference under reverberant and noisy conditions. The proposed method operates on the spherical harmonic decomposition of the spherical microphone array recordings to yield spherical harmonics coefficients as the features. An attention mechanism is incorporated through a binary mask that filters out the dominant undesired source components from the features before training. A convolutional neural network is trained to map the phase and magnitude of the filtered coefficients with the location class. Hence, the objective is to develop the binary mask followed by source localization.

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SHOJAEI, M. R., A. A. RAJABI, and H. HASANABADI. "HYPER-SPHERICAL HARMONICS AND ANHARMONICS IN m-DIMENSIONAL SPACE." International Journal of Modern Physics E 17, no. 06 (June 2008): 1125–30. http://dx.doi.org/10.1142/s0218301308010398.

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In quantum mechanics the hyper-spherical method is one of the most well-established and successful computational tools. The general theory of harmonic polynomials and hyper-spherical harmonics is of central importance in this paper. The interaction potential V is assumed to depend on the hyper-radius ρ only where ρ is the function of the Jacobi relative coordinate x1, x2,…, xn which are functions of the particles' relative positions.

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Yanagawa, Kazunori, Ayane Fujihira, Hideki Yamaguchi, and Nozomu Yoshizawa. "Describing the characteristics of light field in architectural spaces using spherical harmonic function." IOP Conference Series: Earth and Environmental Science 1099, no. 1 (November 1, 2022): 012014. http://dx.doi.org/10.1088/1755-1315/1099/1/012014.

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Abstract The direction, density, and diffusivity of light are important indicators of spatial characteristics in describing a three-dimensional light environment. Mury presented a method for describing, measuring, and visualizing the structure of light fields using spherical harmonics in terms of changes in the density and direction of light in three-dimensional space. We extended this study by using higher-order spherical harmonics, which would represent more diverse characteristics of the light environment. We also quantitatively described the light environment as numerical values and investigated the correspondence between these numerical values and human perceptual quantities. As a result, we confirmed that there is a certain degree of correspondence between the “complexity” quantified by the spherical harmonic and the “complexity” perceived by people when observing real space.

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Wang, Jian Qiang, Hao Yuan Chen, and Yin Fu Chen. "The Analysis of the Associated Legendre Functions with Non-Integral Degree." Applied Mechanics and Materials 130-134 (October 2011): 3001–5. http://dx.doi.org/10.4028/www.scientific.net/amm.130-134.3001.

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Spherical cap harmonic (SCH) theory has been widely used to format regional model of fields that can be expressed as the gradient of a scalar potential. The functions of this method consist of trigonometric functions and associated Legendre functions with integral-order but non-integral degree. Evidently, the constructing and computing of Legendre functions are the core content of the spherical cap functions. In this paper,the approximated calculation method of the normalized association Legendre functions with non-integral degree is introduced and an analysis of the entire order of associated non-Legendre function calculation is presented. Besides, we use the Muller method to search out for all intrinsic values. The results showed that the highest order of spherical harmonic function for constructing regional model of fields is limited, thus high-resolution spherical harmonic structure of local gravity field need to be improved.

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Xiao-yong, Zhang, and Guo Ben-yu. "Spherical Harmonic–Generalized Laguerre Spectral Method for Exterior Problems." Journal of Scientific Computing 27, no. 1-3 (January 19, 2006): 523–37. http://dx.doi.org/10.1007/s10915-005-9056-6.

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Dissertations / Theses on the topic "Spherical Harmonic method"

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RAYCHAUDHURI, ANJAN. "A Modification of Spherical Harmonic method and its application to transport problems." Thesis, University of North Bengal, 1997. http://hdl.handle.net/123456789/585.

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Pattnaik, Aliva. "Parallel Performance Analysis of The Finite Element-Spherical Harmonics Radiation Transport Method." Thesis, Georgia Institute of Technology, 2006. http://hdl.handle.net/1853/14069.

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In this thesis, the parallel performance of the finite element-spherical harmonics (FE-PN) method implemented in the general-purpose radiation transport code EVENT is studied both analytically and empirically. EVENT solves the coupled set of space-angle discretized FE-PN equations using a parallel block-Jacobi domain decomposition method. As part of the analytical study, the thesis presents complexity results for EVENT when solving for a 3D criticality benchmark radiation transport problem in parallel. The empirical analysis is concerned with the impact of the main algorithmic factors affecting performance. Firstly, EVENT supports two solution strategies, namely MOD (Moments Over Domains) and DOM (Domains Over Moments), to solve the transport equation in parallel. The two strategies differ in the way they solve the multi-level space-angle coupled systems of equations. The thesis presents empirical evidence of which of the two solution strategies is more efficient. Secondly, different preconditioners are used in the Preconditioned Conjugate Gradient (PCG) inside EVENT. Performance of EVENT is compared when using three preconditioners, namely diagonal, SSOR(Symmetric Successive Over-Relaxation) and ILU. The other two factors, angular and spatial resolutions of the problem affect both the performance and precision of EVENT. The thesis presents comparative results on EVENTs performance as these two resolutions are increased. From the empirical performance study of EVENT, a bottleneck is identified that limits the improvement in performance as number of processors used by EVENT is increased. In some experiments, it is observed that uneven assignment of computational load among processors causes a significant portion of the total time being spent in synchronization among processors. The thesis presents two indicators that identify when such inefficiency occur; and in such a case, a load rebalancing strategy is applied that computes a new partition of the problem so that each partition corresponds to equal amount of computational load.

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FERNANDES, ALMIR. "Estudo de um metodo para solucao da equacao de transporte monoenergetica e em geometria tridimensional pelo metodo de elementos finitos e pela." reponame:Repositório Institucional do IPEN, 1991. http://repositorio.ipen.br:8080/xmlui/handle/123456789/10256.

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Dissertacao (Mestrado)
IPEN/D
Instituto de Pesquisas Energeticas e Nucleares - IPEN/CNEN-SP

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Park, HyeongKae. "Coupled Space-Angle Adaptivity and Goal-Oriented Error Control for Radiation Transport Calculations." Diss., Georgia Institute of Technology, 2006. http://hdl.handle.net/1853/13944.

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This research is concerned with the self-adaptive numerical solution of the neutral particle radiation transport problem. Radiation transport is an extremely challenging computational problem since the governing equation is seven-dimensional (3 in space, 2 in direction, 1 in energy, and 1 in time) with a high degree of coupling between these variables. If not careful, this relatively large number of independent variables when discretized can potentially lead to sets of linear equations of intractable size. Though parallel computing has allowed the solution of very large problems, available computational resources will always be finite due to the fact that ever more sophisticated multiphysics models are being demanded by industry. There is thus the pressing requirement to optimize the discretizations so as to minimize the effort and maximize the accuracy. One way to achieve this goal is through adaptive phase-space refinement. Unfortunately, the quality of discretization (and its solution) is, in general, not known a priori; accurate error estimates can only be attained via the a posteriori error analysis. In particular, in the context of the finite element method, the a posteriori error analysis provides a rigorous error bound. The main difficulty in applying a well-established a posteriori error analysis and subsequent adaptive refinement in the context of radiation transport is the strong coupling between spatial and angular variables. This research attempts to address this issue within the context of the second-order, even-parity form of the transport equation discretized with the finite-element spherical harmonics method. The objective of this thesis is to develop a posteriori error analysis in a coupled space-angle framework and an efficient adaptive algorithm. Moreover, the mesh refinement strategy which is tuned for minimizing the error in the target engineering output has been developed by employing the dual argument of the problem. This numerical framework has been implemented in the general-purpose neutral particle code EVENT for assessment.

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CALDEIRA, ALEXANDRE D. "Solucoes Psubn para os problemas da moderacao e do calculo de celula em geometria plana." reponame:Repositório Institucional do IPEN, 1999. http://repositorio.ipen.br:8080/xmlui/handle/123456789/10730.

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Tese (Doutoramento)
IPEN/T
Instituto de Pesquisas Energeticas e Nucleares - IPEN/CNEN-SP

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Juttu, Sreekanth. "A new approach for fast potential evaluation in N-body problems." Thesis, Texas A&M University, 2003. http://hdl.handle.net/1969.1/351.

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Fast algorithms for potential evaluation in N-body problems often tend to be extremely abstract and complex. This thesis presents a simple, hierarchical approach to solving the potential evaluation problem in O(n) time. The approach is developed in the field of electrostatics and can be extended to N-body problems in general. Herein, the potential vector is expressed as a product of the potential matrix and the charge vector. The potential matrix itself is a product of component matrices. The potential function satisfies the Laplace equation and is hence expressed as a linear combination of spherical harmonics, which form the general solutions of the Laplace equation. The orthogonality of the spherical harmonics is exploited to reduce execution time. The duality of the various lists in the algorithm is used to reduce storage and computational complexity. A smart tree-construction strategy leads to efficient parallelism at computation intensive stages of the algorithm. The computational complexity of the algorithm is better than that of the Fast Multipole Algorithm, which is one of the fastest contemporary algorithms to solve the potential evaluation problem. Experimental results show that accuracy of the algorithm is comparable to that of the Fast Multipole Algorithm. However, this approach uses some implementation principles from the Fast Multipole Algorithm. Parallel efficiency and scalability of the algorithms are studied by the experiments on IBM p690 multiprocessors.

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Sankar, Maathangi. "A Hybrid Discrete Ordinates - Spherical Harmonics Method for Solution of the Radiative Transfer Equation in Multi-Dimensional Participating Media." The Ohio State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=osu1308244319.

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Brunton, Alan P. "Multi-scale Methods for Omnidirectional Stereo with Application to Real-time Virtual Walkthroughs." Thesis, Université d'Ottawa / University of Ottawa, 2012. http://hdl.handle.net/10393/23552.

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This thesis addresses a number of problems in computer vision, image processing, and geometry processing, and presents novel solutions to these problems. The overarching theme of the techniques presented here is a multi-scale approach, leveraging mathematical tools to represent images and surfaces at different scales, and methods that can be adapted from one type of domain (eg., the plane) to another (eg., the sphere). The main problem addressed in this thesis is known as stereo reconstruction: reconstructing the geometry of a scene or object from two or more images of that scene. We develop novel algorithms to do this, which work for both planar and spherical images. By developing a novel way to formulate the notion of disparity for spherical images, we are able effectively adapt our algorithms from planar to spherical images. Our stereo reconstruction algorithm is based on a novel application of distance transforms to multi-scale matching. We use matching information aggregated over multiple scales, and enforce consistency between these scales using distance transforms. We then show how multiple spherical disparity maps can be efficiently and robustly fused using visibility and other geometric constraints. We then show how the reconstructed point clouds can be used to synthesize a realistic sequence of novel views, images from points of view not captured in the input images, in real-time. Along the way to this result, we address some related problems. For example, multi-scale features can be detected in spherical images by convolving those images with a filterbank, generating an overcomplete spherical wavelet representation of the image from which the multiscale features can be extracted. Convolution of spherical images is much more efficient in the spherical harmonic domain than in the spatial domain. Thus, we develop a GPU implementation for fast spherical harmonic transforms and frequency domain convolutions of spherical images. This tool can also be used to detect multi-scale features on geometric surfaces. When we have a point cloud of a surface of a particular class of object, whether generated by stereo reconstruction or by some other modality, we can use statistics and machine learning to more robustly estimate the surface. If we have at our disposal a database of surfaces of a particular type of object, such as the human face, we can compute statistics over this database to constrain the possible shape a new surface of this type can take. We show how a statistical spherical wavelet shape prior can be used to efficiently and robustly reconstruct a face shape from noisy point cloud data, including stereo data.

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Marquez, Damian Jose Ignacio. "Multilevel acceleration of neutron transport calculations." Thesis, Atlanta, Ga. : Georgia Institute of Technology, 2007. http://hdl.handle.net/1853/19731.

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Thesis (M.S.)--Nuclear and Radiological Engineering, Georgia Institute of Technology, 2008.
Committee Chair: Stacey, Weston M.; Committee Co-Chair: de Oliveira, Cassiano R.E.; Committee Member: Hertel, Nolan; Committee Member: van Rooijen, Wilfred F.G.

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Das, Nivedita. "Modeling three-dimensional shape of sand grains using Discrete Element Method." [Tampa, Fla.] : University of South Florida, 2007. http://purl.fcla.edu/usf/dc/et/SFE0002072.

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Books on the topic "Spherical Harmonic method"

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N, Phillips Timothy, and Institute for Computer Applications in Science and Engineering., eds. On the coefficients of differentiated expansions of ultraspherical polynomials. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, Institute for Computer Applications in Science and Engineering, 1989.

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1975-, Peccati Giovanni, ed. Random fields on the sphere: Representation, limit theorems, and cosmological applications. Cambridge: Cambridge University Press, 2011.

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AUGMENTED SPHERICAL WAVE METHOD LECTURE. SPRINGER, 2013.

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The Augmented Spherical Wave Method: A Comprehensive Treatment (Lecture Notes in Physics). Springer, 2007.

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Lattman, Eaton E., Thomas D. Grant, and Edward H. Snell. Shape Reconstructions from Small Angle Scattering Data. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199670871.003.0004.

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This chapter discusses recovering shape or structural information from SAXS data. Key to any such process is the ability to generate a calculated intensity from a model, and to compare this curve with the experimental one. Models for the particle scattering density can be approximated as pure homogenenous geometric shapes. More complex particle surfaces can be represented by spherical harmonics or by a set of close-packed beads. Sometimes structural information is known for components of a particle. Rigid body modeling attempts to rotate and translate structures relative to one another, such that the resulting scattering profile calculated from the model agrees with the experimental SAXS data. More advanced hybrid modelling procedures aim to incorporate as much structural information as is available, including modelling protein dynamics. Solutions may not always contain a homogeneous set of particles. A common case is the presence of two or more conformations of a single particle or a mixture of oligomeric species. The method of singular value decomposition can extract scattering for conformationally distinct species.

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Book chapters on the topic "Spherical Harmonic method"

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Lin, C. K., Neil Goldsman, C. H. Chang, Isaak Mayergoyz, Sheldon Aronowitz, Jeffrey Dong, and Nadya Belova. "Extension of Spherical Harmonic Method to RF Transient Regime." In Simulation of Semiconductor Processes and Devices 1998, 42–45. Vienna: Springer Vienna, 1998. http://dx.doi.org/10.1007/978-3-7091-6827-1_12.

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Ghosh, Mrityunjoy. "Solution of an Integro-Differential Equation by Double Interval Spherical Harmonic Method." In Lecture Notes in Mechanical Engineering, 439–54. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-15-0287-3_31.

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Yang, Zhigen, Seiji Manabe, Koichi Yokoyama, Takaaki Jike, and Kosuke Heki. "Comprehensive Ocean Tide Loading Parameters of Sites in East Asia with Spherical Harmonic Method." In International Association of Geodesy Symposia, 343–50. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-662-03482-8_47.

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Vasicek, M., V. Sverdlov, J. Cervenka, T. Grasser, H. Kosina, and S. Selberherr. "Transport in Nanostructures: A Comparative Analysis Using Monte Carlo Simulation, the Spherical Harmonic Method, and Higher Moments Models." In Large-Scale Scientific Computing, 443–50. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-12535-5_52.

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Jamet, O., J. Verdun, D. Tsoulis, and N. Gonindard. "Assessment of a Numerical Method for Computing the Spherical Harmonic Coefficients of the Gravitational Potential of a Constant Density Polyhedron." In Gravity, Geoid and Earth Observation, 437–43. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-10634-7_58.

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Kuridan, Ramadan M. "Spherical Harmonics—The $${{{P}}}_{{{N}}}$$ Method." In Graduate Texts in Physics, 61–97. Cham: Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-26932-5_3.

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Liang, W. C., Y. J. Wu, K. Hennacy, S. Singh, N. Goldsman, and I. Mayergoyz. "2-Dimensional Mosfet Analysis Including Impact Ionization by Self-Consistent Solution of the Boltzmann Transport and Poisson Equations Using a Generalized Spherical Harmonic Expansion Method." In Hot Carriers in Semiconductors, 485–89. Boston, MA: Springer US, 1996. http://dx.doi.org/10.1007/978-1-4613-0401-2_111.

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Gutting, Martin. "Fast Harmonic/Spherical Splines and Parameter Choice Methods." In Handbuch der Geodäsie, 1–38. Berlin, Heidelberg: Springer Berlin Heidelberg, 2018. http://dx.doi.org/10.1007/978-3-662-46900-2_106-1.

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Gutting, Martin. "Fast Harmonic/Spherical Splines and Parameter Choice Methods." In Mathematische Geodäsie/Mathematical Geodesy, 537–74. Berlin, Heidelberg: Springer Berlin Heidelberg, 2020. http://dx.doi.org/10.1007/978-3-662-55854-6_106.

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Jekeli, Christopher. "Methods to Reduce Aliasing in Spherical Harmonic Analysis." In International Association of Geodesy Symposia, 121–30. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-61140-7_12.

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Conference papers on the topic "Spherical Harmonic method"

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Xiao yong, Zhang, Sui Jiang Hua, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Spherical Harmonic–Generalized Laguerre Function Mixed Spectral Method." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636998.

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Xiao-yong, Zhang, Guo Ben-yu, Theodore E. Simos, and George Psihoyios. "Spherical Harmonic—Generalized Laguerre Spectral Method for Nonlinear Exterior Problems." In INTERNATIONAL ELECTRONIC CONFERENCE ON COMPUTER SCIENCE. AIP, 2008. http://dx.doi.org/10.1063/1.3037093.

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Thomas, Mark R. P., Jens Ahrens, and Ivan Tashev. "A method for converting between cylindrical and spherical harmonic representations of sound fields." In ICASSP 2014 - 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2014. http://dx.doi.org/10.1109/icassp.2014.6854498.

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Kalkur, Sachin N., Sandeep Reddy C., and Rajesh M. Hegde. "Joint source localization and separation in spherical harmonic domain using a sparsity based method." In Interspeech 2015. ISCA: ISCA, 2015. http://dx.doi.org/10.21437/interspeech.2015-355.

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Fang Yanhong and Wu Bin. "An novel method of soft tissue haptic rendering based on the spherical harmonic representation." In 2010 2nd International Conference on Information Science and Engineering (ICISE). IEEE, 2010. http://dx.doi.org/10.1109/icise.2010.5691762.

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Li, Kang, Liangzhi Cao, Jianxin Miao, Haoyu Zhang, and Tao Dai. "Neutronics Analysis of Fusion Blanket Based on the Spherical Harmonic Function and Finite Element Method." In 2022 29th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/icone29-92622.

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Abstract The fusion neutronics simulation has been a great challenge to the numerical calculation of the neutron-transport equation. The key is how to deal with the features of fusion devices, such as large-scale, complex geometric models, large vacuum regions, etc. NECP-FISH, a code developed by Nuclear Engineering Computational Physics (NECP) laboratory of Xi'an Jiaotong University, is used to address this challenge. NECP-FISH adopts a deterministic numerical method instead of the Monte Carlo method because the deterministic numerical method is of higher computational efficiency and costs less computational time. To deal with large vacuum region, large-scale and complex geometric model, the first order neutron-transport equation is solved, the spherical harmonics function and the finite element method are applied to the expansion of angle and space. NECP-FISH has been validated by benchmark problems such as strong absorption problem, internal void problem, and Kobayashi series of problems. What’s more, NECP-FISH builds the user interface based on the platform SALOME so that users can visually build the necessary models for problems. NECP-FISH has been applied to the neutronics calculation of the breeder unit of Helium Cooling Ceramic Breeder (HCCB) and the blanket of CFETR. The numerical results demonstrate that the NECP-FISH code can efficiently solve the neutron transport problem of the fusion reactor.

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Faltinsen, Odd M., and Alexander N. Timokha. "Nonlinear Sloshing in a Spherical Tank." In ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/omae2013-10036.

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Steady-state resonant sloshing in a spherical rigid tank due to horizontal harmonic excitations at the lowest natural frequency is classified by combining the nonlinear multimodal method with the Moiseev-Narimanov asymptotics. The theoretical results are validated by comparison with experiments of Sumner & Stofan (1963) and other already published model tests. A good agreement is found for the depth-to-tank radius ratios 0.2 ≤ h ≲ 1 but, when 1 ≲ h ≲ 2, secondary resonance and splashing limits the applicability of the constructed weakly-nonlinear modal theory.

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Mackowski, Daniel W. "Direct Simulation of Scattering and Absorption by Particle Deposits." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-14615.

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A computational scheme is presented to exactly calculate the electromagnetic field distribution, and associated radiative absorption and scattering characteristics, of large-scale ensembles of spherical particles that are subjected to a focussed incident beam. The method employs a superposition extension to Lorenz/Mie theory, in which the internal and scattered fields for each sphere in the ensemble are represented by vector spherical harmonic expansions, and boundary conditions at the surfaces of the spheres are matched by application of the addition theorem for vector harmonics. The incident field is modeled as a transverse, linearly-polarized wave with a Gaussian amplitude distribution along a fixed focal plane. Application of the method to prediction of the absorption and reflectance characteristics of particle deposits is discussed, and illustrative calculations are presented.

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Kessler, David A., Stephen B. Swanekamp, Steve Richardson, Paul E. Adamson, and Lina Petrova. "A Discontinuous Galerkin Finite Element Method for a Class of Spherical Harmonic Expansions of the Boltzmann Equation." In 2021 IEEE International Conference on Plasma Science (ICOPS). IEEE, 2021. http://dx.doi.org/10.1109/icops36761.2021.9588543.

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Mahmood, Taofiqhasan, Md Amanullah Kabir Tonmoy, Chad Sevart, Yi Wang, and Yue Ling. "Predicting Drop Dynamics in Sub-Critical Weber Number Regime: High-Fidelity Simulation and Data-Driven Modeling." In ASME 2023 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2023. http://dx.doi.org/10.1115/imece2023-116851.

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Abstract Accurate prediction of the dynamics of a deformable and freely-moving drop in a uniform gas stream is essential for numerous applications involving droplets, such as spray cooling and liquid fuel injection. When the droplet Weber number is finite but moderate, the drop deviates from its spherical shape and deforms as it is accelerated by the gas stream. Since the drag depends on the drop shape, rigorously resolving the drop shape evolution is necessary for accurate predictions of the drop’s velocity and position. In this study, 2D axisymmetric interface-resolved simulations were performed using the Basilisk solver. The sharp gas-liquid interface is resolved using a geometric Volume-of-Fluid (VOF) method. The quadtree mesh is used to discretize the 2D domain, providing flexibility to dynamically refine the mesh in user-defined regions. The adaptation criterion is based on the wavelet estimate of the discretization errors of the color function and all velocity components. Parametric simulations are conducted by systematically varying the Weber and Reynolds numbers. The instantaneous drop shapes are characterized using spherical harmonic modes. The temporal evolution of the drag and the spherical harmonic mode coefficients are investigated to identify correlations between the drag and the spherical harmonic mode coefficients. The simulation data are also utilized to develop point-particle models for Euler-Lagrange simulations of sprays consisting of a large number of drops. Due to the complex interplay between droplet drag and deformation, accurate models cannot be developed through conventional physics-based approaches. Therefore, a data-driven approach will be adopted. The spherical harmonic mode coefficients up to the sixth mode are used to characterize the drop shape. The evolutions of the spherical harmonic mode coefficients from the simulation results for cases in the test set are used to train the Non-linear Auto-Regressive with Exogenous input Neural Network (NARXNN) model. The predicted mode coefficients are then used as input to train an additional NARXNN model for the drop acceleration.

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Reports on the topic "Spherical Harmonic method"

1

Josef, John A. A simplified spherical harmonic method for coupled electron-photon transport calculations. Office of Scientific and Technical Information (OSTI), December 1996. http://dx.doi.org/10.2172/459863.

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Josef, J. A. A simplified spherical harmonic method for coupled electron-photon transport calculations. Office of Scientific and Technical Information (OSTI), December 1997. http://dx.doi.org/10.2172/563320.

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3

Morel, J. E., J. M. McGhee, and T. Manteuffel. Parallel 3-D spherical-harmonics transport methods. Office of Scientific and Technical Information (OSTI), August 1997. http://dx.doi.org/10.2172/515629.

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4

SVITELMAN, Valentina, and Oleg DINARIEV. The method of spherical harmonics in rock microstructural geostatistics. Cogeo@oeaw-giscience, September 2011. http://dx.doi.org/10.5242/iamg.2011.0048.

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Smith, M. A., G. Palmiotti, and E. E. Lewis. Fuel cycle methods : first-order spherical harmonics formulations capable of treating low density regions. Office of Scientific and Technical Information (OSTI), January 2004. http://dx.doi.org/10.2172/821070.

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