Relevant bibliographies by topics / Discontinuous spectral element method

Academic literature on the topic 'Discontinuous spectral element method'

Author: Grafiati
Published: 10 December 2022
Last updated: 29 January 2023

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Journal articles on the topic "Discontinuous spectral element method"

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Shi1, Xing, Jianzhong Lin, and Zhaosheng Yu. "Discontinuous Galerkin spectral element lattice Boltzmann method on triangular element." International Journal for Numerical Methods in Fluids 42, no. 11 (2003): 1249–61. http://dx.doi.org/10.1002/fld.594.

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Pei, Chaoxu, Mark Sussman, and M. Yousuff Hussaini. "A Space-Time Discontinuous Galerkin Spectral Element Method for Nonlinear Hyperbolic Problems." International Journal of Computational Methods 16, no. 01 (November 21, 2018): 1850093. http://dx.doi.org/10.1142/s0219876218500937.

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A space-time discontinuous Galerkin spectral element method is combined with two different approaches for treating problems with discontinuous solutions: (i) adding a space-time dependent artificial viscosity, and (ii) tracking the discontinuity with space-time spectral accuracy. A Picard iteration method is employed to solve nonlinear system of equations derived from the space-time DG spectral element discretization. Spectral accuracy in both space and time is demonstrated for the Burgers’ equation with a smooth solution. For tests with discontinuities, the present space-time method enables better accuracy at capturing the shock strength in the element containing shock when higher order polynomials in both space and time are used. The spectral accuracy of the shock speed and location is demonstrated for the solution of the inviscid Burgers’ equation obtained by the tracking method.
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Gassner, Gregor J. "A kinetic energy preserving nodal discontinuous Galerkin spectral element method." International Journal for Numerical Methods in Fluids 76, no. 1 (June 10, 2014): 28–50. http://dx.doi.org/10.1002/fld.3923.

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Zayernouri, Mohsen, Wanrong Cao, Zhongqiang Zhang, and George Em Karniadakis. "Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations." SIAM Journal on Scientific Computing 36, no. 6 (January 2014): B904—B929. http://dx.doi.org/10.1137/130935884.

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Hessari, Peyman, Sang Dong Kim, and Byeong-Chun Shin. "Numerical Solution for Elliptic Interface Problems Using Spectral Element Collocation Method." Abstract and Applied Analysis 2014 (2014): 1–11. http://dx.doi.org/10.1155/2014/780769.

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The aim of this paper is to solve an elliptic interface problem with a discontinuous coefficient and a singular source term by the spectral collocation method. First, we develop an algorithm for the elliptic interface problem defined in a rectangular domain with a line interface. By using the Gordon-Hall transformation, we generalize it to a domain with a curve boundary and a curve interface. The spectral element collocation method is then employed to complex geometries; that is, we decompose the domain into some nonoverlaping subdomains and the spectral collocation solution is sought in each subdomain. We give some numerical experiments to show efficiency of our algorithm and its spectral convergence.
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Peyvan, Ahmad, Jonathan Komperda, Dongru Li, Zia Ghiasi, and Farzad Mashayek. "Flux reconstruction using Jacobi correction functions in discontinuous spectral element method." Journal of Computational Physics 435 (June 2021): 110261. http://dx.doi.org/10.1016/j.jcp.2021.110261.

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Zhao, J. M., and L. H. Liu. "Three-Dimensional Transient Radiative Transfer Modeling Using Discontinuous Spectral Element Method." Journal of Thermophysics and Heat Transfer 23, no. 4 (October 2009): 836–40. http://dx.doi.org/10.2514/1.39361.

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Kopriva, David A. "Metric Identities and the Discontinuous Spectral Element Method on Curvilinear Meshes." Journal of Scientific Computing 26, no. 3 (March 2006): 301–27. http://dx.doi.org/10.1007/s10915-005-9070-8.

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Pei, Chaoxu, Mark Sussman, and M. Yousuff Hussaini. "A space-time discontinuous Galerkin spectral element method for the Stefan problem." Discrete & Continuous Dynamical Systems - B 23, no. 9 (2018): 3595–622. http://dx.doi.org/10.3934/dcdsb.2017216.

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Joon-Ho Lee, Jiefu Chen, and Qing Huo Liu. "A 3-D Discontinuous Spectral Element Time-Domain Method for Maxwell's Equations." IEEE Transactions on Antennas and Propagation 57, no. 9 (September 2009): 2666–74. http://dx.doi.org/10.1109/tap.2009.2027731.

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Dissertations / Theses on the topic "Discontinuous spectral element method"

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De, Grazia Daniele. "Three-dimensional discontinuous spectral/hp element methods for compressible flows." Thesis, Imperial College London, 2016. http://hdl.handle.net/10044/1/40416.

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In this thesis we analyse and develop two high-order schemes which belong to the class of discontinuous spectral/hp element methods focusing on compressible aerodynamic studies and, more specifically, on boundary-layer flows. We investigate the discontinuous Galerkin method and the flux reconstruction approach providing a detailed analysis of the connections between these methods. The connections found enable a better understanding of the broader class of discontinuous spectral/hp element methods. From this perspective it was evident that some of the issues of the discontinuous Galerkin method are also encountered in the flux reconstruction approach, and in particular, the aliasing errors of the two schemes are identical. The techniques applied in the more famous discontinuous Galerkin method for tackling these errors can be also extended to the flux reconstruction approach. We present two dealiasing strategies based on the concept of consistent integration of the nonlinear terms. The first is a localised approach which targets in each element the nonlinearities arising in the problem, while the second is a more global approach which involves a higher quadrature of the overall right-hand side of the discretised equation(s). Both the strategies have been observed to be effective in enhancing the robustness of the schemes considered. We finally present the direct numerical simulation of a high-speed subsonic boundary-layer flow past a three-dimensional roughness element, achieved by means of the compressible aerodynamic solver developed. This type of analyses have been widely performed in the past with approximated theories. Only recently, has DNS been used due to the improvement of numerical techniques and an increase in computational resources for similar studies in low-speed subsonic, supersonic and hypersonic regimes. This thesis takes a first step to close the gap between the results for a high-speed subsonic regime and the results in supersonic and hypersonic regimes.
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Citrain, Aurélien. "Hybrid finite element methods for seismic wave simulation : coupling of discontinuous Galerkin and spectral element discretizations." Thesis, Normandie, 2019. http://www.theses.fr/2019NORMIR28.

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Pour résoudre des équations d’ondes posées dans des milieux hétérogènes avec des éléments finis et un coût numérique raisonnable, nous couplons la méthode Discontinue de Galerkine (DGm) avec des éléments finis spectraux (SEm). Nous utilisons des maillages hybrides composés de tétraèdres et d’hexaèdres structurés. Le couplage est réalisé en partant d’une formulation DG mixte primale posée dans un maillage hybride composé d’un macro-élément hexaédrique et d’un sous-maillage composé de tétraèdres. La SEm est appliquée dans le macro-élément découpé en hexaèdres structurés et le couplage est assuré par les flux numériques de la DGm appliqués sur les faces internes du macro-élément communes avec le maillage tétraédrique. La stabilité de la méthode couplée est démontrée quand l’intégration en temps est effectuée avec un schéma Saute-Mouton. Les performances de la méthode couplée sont étudiées numériquement et on montre que le couplage permet de réduire les coûts numériques avec un très bon niveau de précision. On montre aussi que la formulation couplée peut stabiliser la méthode DG appliquée dans des domaines incluant des couches parfaitement adaptées
To solve wave equations in heterogeneous media with finite elements with a reasonable numerical cost, we couple the Discontinuous Galerkin method (DGm) with Spectral Elements method (SEm). We use hybrid meshes composed of tetrahedra and structured hexahedra. The coupling is carried out starting from a mixed-primal DG formulation applied on a hybrid mesh composed of a hexahedral macro-element and a sub-mesh composed of tetrahedra. The SEm is applied in the macro-element paved with structured hexahedrons and the coupling is ensured by the DGm numerical fluxes applied on the internal faces of the macro-element common with the tetrahedral mesh. The stability of the coupled method is demonstrated when time integration is performed with a Leap-Frog scheme. The performance of the coupled method is studied numerically and it is shown that the coupling reduces numerical costs while keeping a high level of accuracy. It is also shown that the coupled formulation can stabilize the DGm applied in areas that include Perfectly Matched Layers
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Mengaldo, Gianmarco. "Discontinuous spectral/hp element methods : development, analysis and applications to compressible flows." Thesis, Imperial College London, 2015. http://hdl.handle.net/10044/1/28678.

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This thesis is concerned with the development and analysis of discontinuous spectral/hp element methods and their applications to compressible aerodynamics with special focus on boundary-layer flows. In this thesis, we provide a detailed analysis on the connections between the discontinuous Galerkin method and the flux reconstruction approach for multidimensional nonlinear systems of conservation laws on irregular meshes (i.e. meshes with deformed and/or curved elements). The results help a better understanding of the broader class of discontinuous spectral/hp element methods and allow the direct applications to the flux reconstruction approach of the existing and more established techniques used in the discontinuous Galerkin community for tackling various issues of this class of schemes, including their aliasing problems. From this perspective, we present two dealiasing strategies based on the concept of consistent integration of the nonlinear terms (also referred to as over-integration of the linear terms). The first is a localised approach and it targets in each element the nonlinearities arising in the problem, while the second is a more global approach which involves a higher quadrature of the overall right-hand side of the discretised equation(s). The two dealiasing strategies have been observed to be effective in enhancing the numerical stability of both schemes, the flux reconstruction and the discontinuous Galerkin approaches. We finally present the direct numerical simulation of a high-speed subsonic flow past a roughness element, achieved by means of the discontinuous spectral/hp element methods developed. These results were successively compared to some data obtained from the asymptotic triple-deck theory. This work, besides demonstrating that the class of schemes analysed and developed is attractive for such aerodynamic problems, also addresses the lack of comparisons between theoretical models and numerical simulations.
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Claus, Susanne. "Numerical simulation of complex viscoelastic flows using discontinuous galerkin spectral/hp element methods." Thesis, Cardiff University, 2013. http://orca.cf.ac.uk/46909/.

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Viscoelastic flows are characterised by fast spatial and temporal variations in the solution featuring thin stress boundary near walls and stress concentrations in the vicinity of geometrical singularities. Resolving these fast variations of the fields in space and time is important for two reasons: (i) they affect the quantity of interest of the computation (e.g. drag force); and (ii) they are commonly believed to be associated with the numerical breakdown of the computation. Traditional discretisation methods such as finite differences or low-order finite elements require a large number of degrees of freedom to resolve these variations. Spectral methods enable this issue to be resolved by defining spatial expansions that are able to represent such variations with a smaller number of degrees of freedom. However, such methods are limited in terms of geometric flexibility. Recently, the spectral/hp element method (Karniadakis and Sherwin, 2005) has been developed in order to guarantee both spectral convergence, and geometric flexibility by allowing the use of quadrilateral and triangular elements. Our work is the first attempt to apply this method to viscoelastic free surface flows in arbitrary complex geometries. The conservation equations are solved in combination with the Oldroyd-B or Giesekus constitutive equation using the DEVSS-G/DG formulation. The combination of this formulation with a spectral element method is novel. A continuous approximation is employed for the velocity and discontinuous approximations for pressure, velocity gradient and polymeric stress. The conservation equations are discretised using the Galerkin method and the constitutive equation using a discontinuous Galerkin method to increase the stability of the approximation. The viscoelastic free surface is traced using an arbitrary Lagrangian Eulerian method. The performance of our scheme is demonstrated on the time-dependent Poiseuille flow in a channel, the flow around a cylinder and the die-swell problem.
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Wintermeyer, Niklas [Verfasser], and Gregor [Gutachter] Gassner. "A novel entropy stable discontinuous Galerkin spectral element method for the shallow water equations on GPUs / Niklas Wintermeyer ; Gutachter: Gregor Gassner." Köln : Universitäts- und Stadtbibliothek Köln, 2019. http://d-nb.info/1182533183/34.

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Vangelatos, Serena [Verfasser]. "On the Efficiency of Implicit Discontinuous Galerkin Spectral Element Methods for the Unsteady Compressible Navier-Stokes Equations / Serena Vangelatos." München : Verlag Dr. Hut, 2020. http://d-nb.info/1222352222/34.

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Vangelatos, Serena [Verfasser], and Claus-Dieter [Akademischer Betreuer] Munz. "On the efficiency of implicit discontinuous Galerkin spectral element methods for the unsteady compressible Navier-Stokes equations / Serena Vangelatos ; Betreuer: Claus-Dieter Munz." Stuttgart : Universitätsbibliothek der Universität Stuttgart, 2020. http://d-nb.info/1206184051/34.

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Sert, Cuneyt. "Nonconforming formulations with spectral element methods." Diss., Texas A&M University, 2003. http://hdl.handle.net/1969.1/1268.

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A spectral element algorithm for solution of the incompressible Navier-Stokes and heat transfer equations is developed, with an emphasis on extending the classical conforming Galerkin formulations to nonconforming spectral elements. The new algorithm employs both the Constrained Approximation Method (CAM), and the Mortar Element Method (MEM) for p-and h-type nonconforming elements. Detailed descriptions, and formulation steps for both methods, as well as the performance comparisons between CAM and MEM, are presented. This study fills an important gap in the literature by providing a detailed explanation for treatment of p-and h-type nonconforming interfaces. A comparative eigenvalue spectrum analysis of diffusion and convection operators is provided for CAM and MEM. Effects of consistency errors due to the nonconforming formulations on the convergence of steady and time dependent problems are studied in detail. Incompressible flow solvers that can utilize these nonconforming formulations on both p- and h-type nonconforming grids are developed and validated. Engineering use of the developed solvers are demonstrated by detailed parametric analyses of oscillatory flow forced convection heat transfer in two-dimensional channels.
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Chaurasia, Hemant Kumar. "A time-spectral hybridizable discontinuous Galerkin method for periodic flow problems." Thesis, Massachusetts Institute of Technology, 2014. http://hdl.handle.net/1721.1/90647.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Aeronautics and Astronautics, 2014.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 110-120).
Numerical simulations of time-periodic flows are an essential design tool for a wide range of engineered systems, including jet engines, wind turbines and flapping wings. Conventional solvers for time-periodic flows are limited in accuracy and efficiency by the low-order Finite Volume and time-marching methods they typically employ. These methods introduce significant numerical dissipation in the simulated flow, and can require hundreds of timesteps to describe a periodic flow with only a few harmonic modes. However, recent developments in high-order methods and Fourier-based time discretizations present an opportunity to greatly improve computational performance. This thesis presents a novel Time-Spectral Hybridizable Discontinuous Galerkin (HDG) method for periodic flow problems, together with applications to flow through cascades and rotor/stator assemblies in aeronautical turbomachinery. The present work combines a Fourier-based Time-Spectral discretization in time with an HDG discretization in space, realizing the dual benefits of spectral accuracy in time and high-order accuracy in space. Low numerical dissipation and favorable stability properties are inherited from the high-order HDG method, together with a reduced number of globally coupled degrees of freedom compared to other DG methods. HDG provides a natural framework for treating boundary conditions, which is exploited in the development of a new high-order sliding mesh interface coupling technique for multiple-row turbomachinery problems. A regularization of the Spalart-Allmaras turbulence model is also employed to ensure numerical stability of unsteady flow solutions obtained with high-order methods. Turning to the temporal discretization, the Time-Spectral method enables direct solution of a periodic flow state, bypasses initial transient behavior, and can often deliver substantial savings in computational cost compared to implicit time-marching. An important driver of computational efficiency is the ability to select and resolve only the most important frequencies of a periodic problem, such as the blade-passing frequencies in turbomachinery flows. To this end, the present work introduces an adaptive frequency selection technique, using the Time-Spectral residual to form an inexpensive error indicator. Having selected a set of frequencies, the accuracy of the Time-Spectral solution is greatly improved by using optimally selected collocation points in time. For multi-domain problems such as turbomachinery flows, an anti-aliasing filter is also needed to avoid errors in the transfer of the solution across the sliding interface. All of these aspects contribute to the Adaptive Time-Spectral HDG method developed in this thesis. Performance characteristics of the method are demonstrated through applications to periodic ordinary differential equations, a convection problem, laminar flow over a pitching airfoil, and turbulent flow through a range of single- and multiple-row turbomachinery configurations. For a 2:1 rotor/stator flow problem, the Adaptive Time-Spectral HDG method correctly identifies the relevant frequencies in each blade row. This leads to an accurate periodic flow solution with greatly reduced computational cost, when compared to sequentially selected frequencies or a time-marching solution. For comparable accuracy in prediction of rotor loading, the Adaptive Time- Spectral HDG method incurs 3 times lower computational cost (CPU time) than time-marching, and for prediction of only the 1st harmonic amplitude, these savings rise to a factor of 200. Finally, in three-row compressor flow simulations, a high-order HDG method is shown to achieve significantly greater accuracy than a lower-order method with the same computational cost. For example, considering error in the amplitude of the 1st harmonic mode of total rotor loading, a p = 1 computation results in 20% error, in contrast to only 1% error in a p = 4 solution with comparable cost. This highlights the benefits that can be obtained from higher-order methods in the context of turbomachinery flow problems.
by Hemant Kumar Chaurasia.
Ph. D.
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Bao, Weiyu. "Modelling excavations in discontinuous rock using the distinct element method." Thesis, University of Southampton, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.431928.

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Books on the topic "Discontinuous spectral element method"

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Lee, Usik. Spectral element method in structural dynamics. Singapore: J. Wiley & Sons Asia, 2009.

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Meng, Sha. A spectral element method for viscoelastic fluid flow. Leicester: De Montfort University, 2001.

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Mavriplis, Catherine. Adaptive mesh strategies for the spectral element method. Hampton, Va: Institute for Computer Applications in Science and Engineering, 1992.

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Hu, Chang-Qing. A discontinuous Galerkin finite element method for Hamilton-Jacobi equations. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1998.

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Bottasso, Carlo L. Discontinuous dual-primal mixed finite elements for elliptic problems. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 2000.

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Karniadakis, George. Spectral/hp element methods for CFD. New York: Oxford University Press, 1999.

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F, Doyle James. Application of the spectral element method to acoustic radiation. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 2000.

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F, Doyle James. Application of the spectral element method to acoustic radiation. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 2000.

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Bernardi, Christine. Coupling finite element and spectral methods: First results. Hampton, Va: ICASE, 1987.

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Cockburn, B. Runge-Kutta discontinuous Galerkin methods for convection-dominated problems. Hampton, VA: ICASE, NASA Langley Research Center, 2000.

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Book chapters on the topic "Discontinuous spectral element method"

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Komperda, Jonathan, and Farzad Mashayek. "Filtered Density Function Implementation in a Discontinuous Spectral Element Method." In Modeling and Simulation of Turbulent Mixing and Reaction, 169–80. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-2643-5_7.

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Altmann, Christoph, Andrea D. Beck, Florian Hindenlang, Marc Staudenmaier, Gregor J. Gassner, and Claus-Dieter Munz. "An Efficient High Performance Parallelization of a Discontinuous Galerkin Spectral Element Method." In Facing the Multicore-Challenge III, 37–47. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-35893-7_4.

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Redondo, C., F. Fraysse, G. Rubio, and E. Valero. "Artificial Viscosity Discontinuous Galerkin Spectral Element Method for the Baer-Nunziato Equations." In Lecture Notes in Computational Science and Engineering, 613–25. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65870-4_44.

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Ortwein, P., T. Binder, S. Copplestone, A. Mirza, P. Nizenkov, M. Pfeiffer, T. Stindl, S. Fasoulas, and C. D. Munz. "Parallel Performance of a Discontinuous Galerkin Spectral Element Method Based PIC-DSMC Solver." In High Performance Computing in Science and Engineering ‘14, 671–81. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-10810-0_44.

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Beck, A., T. Bolemann, T. Hitz, V. Mayer, and C. D. Munz. "Explicit High-Order Discontinuous Galerkin Spectral Element Methods for LES and DNS." In Lecture Notes in Computational Science and Engineering, 281–96. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22997-3_17.

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Kopriva, David A., and Edwin Jimenez. "An Assessment of the Efficiency of Nodal Discontinuous Galerkin Spectral Element Methods." In Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 223–35. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-33221-0_13.

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Föll, Fabian, Sandeep Pandey, Xu Chu, Claus-Dieter Munz, Eckart Laurien, and Bernhard Weigand. "High-Fidelity Direct Numerical Simulation of Supercritical Channel Flow Using Discontinuous Galerkin Spectral Element Method." In High Performance Computing in Science and Engineering ' 18, 275–89. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-13325-2_17.

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Beck, Andrea, Thomas Bolemann, David Flad, Nico Krais, Jonas Zeifang, and Claus-Dieter Munz. "Application and Development of the High Order Discontinuous Galerkin Spectral Element Method for Compressible Multiscale Flows." In High Performance Computing in Science and Engineering ' 18, 291–307. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-13325-2_18.

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Atak, Muhammed, Andrea Beck, Thomas Bolemann, David Flad, Hannes Frank, and Claus-Dieter Munz. "High Fidelity Scale-Resolving Computational Fluid Dynamics Using the High Order Discontinuous Galerkin Spectral Element Method." In High Performance Computing in Science and Engineering ´15, 511–30. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-24633-8_33.

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Beck, Andrea, Thomas Bolemann, David Flad, Hannes Frank, Nico Krais, Kristina Kukuschkin, Matthias Sonntag, and Claus-Dieter Munz. "Application and Development of the High Order Discontinuous Galerkin Spectral Element Method for Compressible Multiscale Flows." In High Performance Computing in Science and Engineering ' 17, 387–407. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-68394-2_23.

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Conference papers on the topic "Discontinuous spectral element method"

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Sengupta, Kaustav, Farzad Mashayek, and Gustaaf Jacobs. "Large-Eddy Simulation Using a Discontinuous Galerkin Spectral Element Method." In 45th AIAA Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2007. http://dx.doi.org/10.2514/6.2007-402.

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Krebs, J. R., S. S. Collis, N. J. Downey, C. C. Ober, J. R. Overfelt, T. M. Smith, B. G. van Bloemen-Waanders, and J. G. Young. "Full Wave Inversion Using a Spectral-Element Discontinuous Galerkin Method." In 76th EAGE Conference and Exhibition 2014. Netherlands: EAGE Publications BV, 2014. http://dx.doi.org/10.3997/2214-4609.20140707.

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Komperda, Jonathan, Zia Ghiasi, Farzad Mashayek, Abolfazl Irannejad, and Farhad A. Jaberi. "Filtered Mass Density Function for Use in Discontinuous Spectral Element Method." In 50th AIAA/ASME/SAE/ASEE Joint Propulsion Conference. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2014. http://dx.doi.org/10.2514/6.2014-3471.

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Ren, Qiang, Qiwei Zhan, and Qing Huo Liu. "Discontinuous Galerkin spectral elemen/finite element time domain (DGSE/FETD) method for anisotropic medium." In 2015 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium). IEEE, 2015. http://dx.doi.org/10.1109/usnc-ursi.2015.7303365.

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Abbassi, Hessam, Farzad Mashayek, and Gustaaf B. Jacobs. "Entropy Viscosity Approach for Compressible Turbulent Simulations using Discontinuous Spectral Element Method." In 52nd Aerospace Sciences Meeting. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2014. http://dx.doi.org/10.2514/6.2014-0947.

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Joon-Ho Lee and Qing H. Liu. "Nanophotonic Applications of the Discontinuous Spectral Element Time-Domain (DG-SETD) Method." In 2007 IEEE Antennas and Propagation Society International Symposium. IEEE, 2007. http://dx.doi.org/10.1109/aps.2007.4396506.

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Abbassi, Hessam, John Komperda, Farzad Mashayek, and Gustaaf Jacobs. "Application of Entropy Viscosity Method for Supersonic Flow Simulation using Discontinuous Spectral Element Method." In 50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2012. http://dx.doi.org/10.2514/6.2012-1115.

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Flad, David, Andrea D. Beck, Gregor Gassner, and Claus-dieter Munz. "A Discontinuous Galerkin Spectral Element Method for the direct numerical simulation of aeroacoustics." In 20th AIAA/CEAS Aeroacoustics Conference. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2014. http://dx.doi.org/10.2514/6.2014-2740.

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Diosady, Laslo T., and Scott M. Murman. "DNS of Flows over Periodic Hills using a Discontinuous Galerkin Spectral-Element Method." In 44th AIAA Fluid Dynamics Conference. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2014. http://dx.doi.org/10.2514/6.2014-2784.

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Zhao, Jiazi, Yasong Sun, Yifan Li, and Changhao Liu. "INVESTIGATION OF COUPLED RADIATIONCONDUCTION HEAT TRANSFER IN CYLINDRICAL SYSTEMS BY DISCONTINUOUS SPECTRAL ELEMENT METHOD." In GPPS Xi'an21. GPPS, 2022. http://dx.doi.org/10.33737/gpps21-tc-258.

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Abstract:
Nowadays, in order to obtain a higher efficiency in aeroengines, the increase in the turbine inlet temperature of gas turbine engine is an urgent need. At present, the turbine inlet temperature is close to 2000K, which means the radiation and coupled radiationconduction heat transfer play more and more important roles in hot section of aeroengines. As we all konw, considering the cylindrical symmetry of the aeroengine. It is convenient to adopt the cylindrical coordinate to simplify the systems in aeroengines with cylindrical geometry, such as annular combustor and exhaust nozzle. In this paper, the Discontinuous Spectral Element Method (DSEM) is extended to solve the radiation and coupled radiationcoduction heat transfer in cylindrical coordinate systems. Both the spatial and angular computational domains of radiative transfer equation (RTE) are discretized and solved by DSEM. For coupled radiationconduction heat transfer problem, Discontinuous Spectral Element MethodSpectral Element Method (DSEMSEM) scheme is used to avoid using two sets of computational grids which would cause the increase of computational cost and the decrease of accuracy. Then, the effects of various geometric and thermal physical parameters are comprehensively investigated. Finally, these methods are further extended to 2D cylindrical system.
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Reports on the topic "Discontinuous spectral element method"

1

Bui-Thanh, Tan, and Omar Ghattas. Analysis of an Hp-Non-conforming Discontinuous Galerkin Spectral Element Method for Wave. Fort Belvoir, VA: Defense Technical Information Center, April 2011. http://dx.doi.org/10.21236/ada555327.

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Kershaw, D., and J. Harte. 2D deterministic radiation transport with the discontinuous finite element method. Office of Scientific and Technical Information (OSTI), November 1993. http://dx.doi.org/10.2172/10110565.

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Giraldo, F. X., and M. A. Taylor. A Diagonal Mass Matrix Triangular Spectral Element Method based on Cubature Points. Fort Belvoir, VA: Defense Technical Information Center, January 2006. http://dx.doi.org/10.21236/ada486707.

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Sofu, Tanju, and Dillon Shaver. LARGE EDDY SIMULATION OF RANDOM PEBBLE BED USING THE SPECTRAL ELEMENT METHOD. Office of Scientific and Technical Information (OSTI), June 2022. http://dx.doi.org/10.2172/1878210.

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Larmat, Carene, Esteban Rougier, and Zhou Lei. w17_geonuc "Application of the Spectral Element Method to improvement of Ground-based Nuclear Explosion Monitoring". Office of Scientific and Technical Information (OSTI), March 2019. http://dx.doi.org/10.2172/1499318.

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Larmat, Carene, Esteban Rougier, and Zhou Lei. W17_geonuc “Application of the Spectral Element Method to improvement of Ground-based Nuclear Explosion Monitoring”. Office of Scientific and Technical Information (OSTI), February 2018. http://dx.doi.org/10.2172/1422942.

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