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Статті в журналах з теми "High-order discretization methods"
Gottlieb, Sigal, Chi-Wang Shu, and Eitan Tadmor. "Strong Stability-Preserving High-Order Time Discretization Methods." SIAM Review 43, no. 1 (January 2001): 89–112. http://dx.doi.org/10.1137/s003614450036757x.
Повний текст джерелаTakács, Bálint, and Yiannis Hadjimichael. "High order discretization methods for spatial-dependent epidemic models." Mathematics and Computers in Simulation 198 (August 2022): 211–36. http://dx.doi.org/10.1016/j.matcom.2022.02.021.
Повний текст джерелаFilbet, Francis, and Charles Prouveur. "High order time discretization for backward semi-Lagrangian methods." Journal of Computational and Applied Mathematics 303 (September 2016): 171–88. http://dx.doi.org/10.1016/j.cam.2016.01.024.
Повний текст джерелаBassi, Francesco, Lorenzo Botti, and Alessandro Colombo. "Agglomeration-based physical frame dG discretizations: An attempt to be mesh free." Mathematical Models and Methods in Applied Sciences 24, no. 08 (May 4, 2014): 1495–539. http://dx.doi.org/10.1142/s0218202514400028.
Повний текст джерелаChen, Minghua, and Weihua Deng. "Fourth Order Difference Approximations for Space Riemann-Liouville Derivatives Based on Weighted and Shifted Lubich Difference Operators." Communications in Computational Physics 16, no. 2 (August 2014): 516–40. http://dx.doi.org/10.4208/cicp.120713.280214a.
Повний текст джерелаBose, Mahua, and Kalyani Mali. "High Order Time Series Forecasting using Fuzzy Discretization." International Journal of Fuzzy System Applications 5, no. 4 (October 2016): 147–64. http://dx.doi.org/10.4018/ijfsa.2016100107.
Повний текст джерелаYi, Tae-Hyeong, and Francis X. Giraldo. "Vertical Discretization for a Nonhydrostatic Atmospheric Model Based on High-Order Spectral Elements." Monthly Weather Review 148, no. 1 (December 27, 2019): 415–36. http://dx.doi.org/10.1175/mwr-d-18-0283.1.
Повний текст джерелаDarrigrand, E., L. Gatard, and K. Mer-Nkonga. "High order boundary integral methods forMaxwell's equations using Microlocal Discretization and Fast Multipole Methods." PAMM 7, no. 1 (December 2007): 1022705–6. http://dx.doi.org/10.1002/pamm.200700332.
Повний текст джерелаMay, Georg, Koen Devesse, Ajay Rangarajan, and Thierry Magin. "A Hybridized Discontinuous Galerkin Solver for High-Speed Compressible Flow." Aerospace 8, no. 11 (October 28, 2021): 322. http://dx.doi.org/10.3390/aerospace8110322.
Повний текст джерелаChen, Jing-Bo. "Modeling the scalar wave equation with Nyström methods." GEOPHYSICS 71, no. 5 (September 2006): T151—T158. http://dx.doi.org/10.1190/1.2335505.
Повний текст джерелаДисертації з теми "High-order discretization methods"
Tam, Anita W. "High-order spatial discretization methods for the shallow water equations." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/NQ58942.pdf.
Повний текст джерелаBotti, Michele. "Advanced polyhedral discretization methods for poromechanical modelling." Thesis, Montpellier, 2018. http://www.theses.fr/2018MONTS041/document.
Повний текст джерелаIn this manuscript we focus on novel discretization schemes for solving the coupled equations of poroelasticity and we present analytical and numerical results for poromechanics problems relevant to geoscience applications. We propose to solve these problems using Hybrid High-Order (HHO) methods, a new class of nonconforming high-order methods supporting general polyhedral meshes. This Ph.D. thesis was conjointly founded by the Bureau de recherches géologiques et minières (BRGM) and LabEx NUMEV. The coupling between subsurface flow and geomechanical deformation is a crucial research topic for both cofunding institutions
Karouma, Abdulrahman. "A Class of Contractivity Preserving Hermite-Birkhoff-Taylor High Order Time Discretization Methods." Thesis, Université d'Ottawa / University of Ottawa, 2015. http://hdl.handle.net/10393/32403.
Повний текст джерелаKress, Wendy. "High Order Finite Difference Methods in Space and Time." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Univ.-bibl. [distributör], 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-3559.
Повний текст джерелаNissen, Anna. "High Order Finite Difference Methods with Artificial Boundary Treatment in Quantum Dynamics." Doctoral thesis, Uppsala universitet, Avdelningen för teknisk databehandling, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-159856.
Повний текст джерелаeSSENCE
FERRERO, ANDREA. "Computational fluid dynamics for aerospace propulsion systems: an approach based on discontinuous finite elements." Doctoral thesis, Politecnico di Torino, 2015. http://hdl.handle.net/11583/2598559.
Повний текст джерелаOjeda, Steven Matthew. "A cut-cell method for adaptive high-order discretizations of conjugate heat transfer problems." Thesis, Massachusetts Institute of Technology, 2014. http://hdl.handle.net/1721.1/90783.
Повний текст джерелаCataloged from PDF version of thesis.
Includes bibliographical references (pages 143-151).
Heat transfer between a conductive solid and an adjacent convective fluid is prevalent in many aerospace systems. The ability to achieve accurate predictions of the coupled heat interaction is critical in advancing thermodynamic designs. Despite their growing use, coupled fluid-solid analyses known as conjugate heat transfer (CHT) are hindered by the lack of automation and robustness. The mesh generation process is still highly dependent on user experience and resources, requiring time-consuming involvement in the analysis cycle. This thesis presents work toward developing a robust PDE solution framework for CHT simulations that autonomously provides reliable output predictions. More specifically, the framework is comprised of the following components: a simplex cut-cell technique that generates multi-regioned meshes decoupled from the design geometry, a high-order discontinuous Galerkin (DG) discretization, and an anisotropic output-based adaptation method that autonomously adapts the mesh to minimize the error in an output of interest. An existing cut-cell technique is first extended to generate fully-embedded meshes with multiple sub-domains. Then, a coupled framework that combines separate disciplines is developed, while ensuring compatibility between the cut-cell and mesh adaptation algorithms. Next, the framework is applied to high-order discretizations of the heat, Navier-Stokes, and Reynolds-Averaged Navier-Stokes (RANS) equations to analyze the heat flux interaction. Through a series of numerical studies, high-order accurate outputs solved on autonomously controlled cut-cell meshes are demonstrated. Finally, the conjugate solutions are analyzed to gain physical insight to the coupled interaction.
by Steven Matthew Ojeda.
S.M.
Fidkowski, Krzysztof J. 1981. "A simplex cut-cell adaptive method for high-order discretizations of the compressible Navier-Stokes equations." Thesis, Massachusetts Institute of Technology, 2007. http://hdl.handle.net/1721.1/39701.
Повний текст джерелаIncludes bibliographical references (p. 169-175).
While an indispensable tool in analysis and design applications, Computational Fluid Dynamics (CFD) is still plagued by insufficient automation and robustness in the geometry-to-solution process. This thesis presents two ideas for improving automation and robustness in CFD: output-based mesh adaptation for high-order discretizations and simplex, cut-cell mesh generation. First, output-based mesh adaptation consists of generating a sequence of meshes in an automated fashion with the goal of minimizing an estimate of the error in an engineering output. This technique is proposed as an alternative to current CFD practices in which error estimation and mesh generation are largely performed by experienced practitioners. Second, cut-cell mesh generation is a potentially more automated and robust technique compared to boundary-conforming mesh generation for complex, curved geometries. Cut-cell meshes are obtained by cutting a given geometry of interest out of a background mesh that need not conform to the geometry boundary. Specifically, this thesis develops the idea of simplex cut cells, in which the background mesh consists of triangles or tetrahedra that can be stretched in arbitrary directions to efficiently resolve boundary-layer and wake features.
(cont.) The compressible Navier-Stokes equations in both two and three dimensions are discretized using the discontinuous Galerkin (DG) finite element method. An anisotropic h-adaptation technique is presented for high-order (p > 1) discretizations, driven by an output-error estimate obtained from the solution of an adjoint problem. In two and three dimensions, algorithms are presented for intersecting the geometry with the background mesh and for constructing the resulting cut cells. In addition, a quadrature technique is proposed for accurately integrating high-order functions on arbitrarily-shaped cut cells and cut faces. Accuracy on cut-cell meshes is demonstrated by comparing solutions to those on standard, boundary-conforming meshes. In two dimensions, robustness of the cut-cell, adaptive technique is successfully tested for highly-anisotropic boundary-layer meshes representative of practical high-Re simulations. In three dimensions, robustness of cut cells is demonstrated for various representative curved geometries. Adaptation results show that for all test cases considered, p = 2 and p = 3 discretizations meet desired error tolerances using fewer degrees of freedom than p = 1.
Krzysztof Jakub Fidkowski.
Ph.D.
Sun, Huafei. "A robust simplex cut-cell method for adaptive high-order discretizations of aerodynamics and multi-physics problems." Thesis, Massachusetts Institute of Technology, 2013. http://hdl.handle.net/1721.1/85764.
Повний текст джерелаCataloged from PDF version of thesis.
Includes bibliographical references (pages 189-199).
Despite the wide use of partial differential equation (PDE) solvers, lack of automation still hinders realizing their full potential in assisting engineering analysis and design. In particular, the process of establishing a suitable mesh for a given problem often requires heavy person-in-the-loop involvement. This thesis presents work toward the development of a robust PDE solution framework that provides a reliable output prediction in a fully-automated manner. The framework consists of: a simplex cut-cell technique which allows the mesh generation process to be independent of the geometry of interest; a discontinuous Galerkin (DG) discretization which permits an easy extension to high-order accuracy; and an anisotropic output-based adaptation which improves the discretization mesh for an accurate output prediction in a fully-automated manner. Two issues are addressed that limit the automation and robustness of the existing simplex cut-cell technique in three dimensions. The first is the intersection ambiguity due to numerical precision. We introduce adaptive precision arithmetic that guarantees intersection correctness, and develop various techniques to improve the efficiency of using this arithmetic. The second is the poor quadrature quality for arbitrarily shaped elements. We propose a high-quality and efficient cut-cell quadrature rule that satisfies a quality measure we define, and demonstrate the improvement in nonlinear solver robustness using this quadrature rule. The robustness and automation of the solution framework is then demonstrated through a range of aerodynamics problems, including inviscid and laminar flows. We develop a high-order DG method with a dual-consistent output evaluation for elliptic interface problems, and extend the simplex cut-cell technique for these problems, together with a metric-optimization adaptation algorithm to handle cut elements. This solution strategy is further extended for multi-physics problems, governed by different PDEs across the interfaces. Through numerical examples, including elliptic interface problems and a conjugate heat transfer problem, high-order accuracy is demonstrated on non-interface-conforming meshes constructed by the cut-cell technique, and mesh element size and shape on each material are automatically adjusted for an accurate output prediction.
by Huafei Sun.
Ph. D.
Li, Jizhou. "Locally Mass-Conservative Method With Discontinuous Galerkin In Time For Solving Miscible Displacement Equations Under Low Regularity." Thesis, 2013. http://hdl.handle.net/1911/71985.
Повний текст джерелаКниги з теми "High-order discretization methods"
Strong stability preserving high-order time discretization methods. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 2000.
Знайти повний текст джерелаTam, Anita W. High-order spatial discretization methods for the shallow water equations. 2001.
Знайти повний текст джерелаЧастини книг з теми "High-order discretization methods"
Sjögreen, Björn, and H. C. Yee. "High Order Compact Central Spatial Discretization Under the Framework of Entropy Split Methods." In Lecture Notes in Computational Science and Engineering, 439–54. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-20432-6_29.
Повний текст джерелаDeville, Michel O. "Instability." In An Introduction to the Mechanics of Incompressible Fluids, 197–210. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-04683-4_8.
Повний текст джерелаLöhner, Rainald. "High-Order Methods for Simulations in Engineering." In Efficient High-Order Discretizations for Computational Fluid Dynamics, 277–307. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-60610-7_7.
Повний текст джерелаSeitz, Timo, Ansgar Lechtenberg, and Peter Gerlinger. "Rocket Combustion Chamber Simulations Using High-Order Methods." In Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 381–94. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-53847-7_24.
Повний текст джерелаKronbichler, Martin. "The Discontinuous Galerkin Method: Derivation and Properties." In Efficient High-Order Discretizations for Computational Fluid Dynamics, 1–55. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-60610-7_1.
Повний текст джерелаFernández-Méndez, Sonia. "An Introduction to the Hybridizable Discontinuous Galerkin Method." In Efficient High-Order Discretizations for Computational Fluid Dynamics, 261–75. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-60610-7_6.
Повний текст джерелаKronbichler, Martin. "High-Performance Implementation of Discontinuous Galerkin Methods with Application in Fluid Flow." In Efficient High-Order Discretizations for Computational Fluid Dynamics, 57–115. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-60610-7_2.
Повний текст джерелаWinters, Andrew R., David A. Kopriva, Gregor J. Gassner, and Florian Hindenlang. "Construction of Modern Robust Nodal Discontinuous Galerkin Spectral Element Methods for the Compressible Navier–Stokes Equations." In Efficient High-Order Discretizations for Computational Fluid Dynamics, 117–96. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-60610-7_3.
Повний текст джерелаSu, Penghui, and Liang Zhang. "A Discontinuous Galerkin Method on Arbitrary Grids with High Order Boundary Discretization." In Lecture Notes in Electrical Engineering, 591–600. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-3305-7_48.
Повний текст джерелаKsiezyk, Mariusz, and Artur Tyliszczak. "LES of a Converging–Diverging Channel Performed with the Immersed Boundary Method and a High-Order Compact Discretization." In Progress in Wall Turbulence 2, 191–200. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-20388-1_17.
Повний текст джерелаТези доповідей конференцій з теми "High-order discretization methods"
May, G., F. Iacono, A. Balan, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Time-Relaxation Methods for High-Order Discretization of Compressible Flow Problems." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636881.
Повний текст джерелаCosta Nogueira Junior, Alberto, Jonathan Bernardo, and Stephen Moore. "Modelling Traffic Flow with the Nonlinear LWR Scheme using the High Order Discontinuous Galerkin Discretization." In XXXVI Iberian Latin American Congress on Computational Methods in Engineering. Rio de Janeiro, Brazil: ABMEC Brazilian Association of Computational Methods in Engineering, 2015. http://dx.doi.org/10.20906/cps/cilamce2015-0232.
Повний текст джерелаMarty, Julien, Nicolas Lantos, Bertrand Michel, and Virginie Bonneau. "LES and Hybrid RANS/LES Simulations of Turbomachinery Flows Using High Order Methods." In ASME Turbo Expo 2015: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/gt2015-42134.
Повний текст джерелаKollmannsberger, Stefan, Alexander Du¨ster, and Ernst Rank. "Force Transfer for High Order Finite Element Methods Using Intersected Meshes." In ASME 2007 Pressure Vessels and Piping Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/pvp2007-26539.
Повний текст джерелаIjaz, Muhammad, and N. K. Anand. "Simulation of Unsteady Incompressible Viscous Flow Using Higher Order Implicit Runge-Kutta Methods: Staggered Grid." In ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference collocated with the ASME 2007 InterPACK Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/ht2007-32486.
Повний текст джерелаBagheri-Sadeghi, Nojan, Brian T. Helenbrook та Kenneth D. Visser. "Turbulent Channel Flow With a Modified k-ω Turbulence Model for High-Order Finite Element Methods". У ASME-JSME-KSME 2019 8th Joint Fluids Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/ajkfluids2019-5501.
Повний текст джерелаByun, Jaeseung, and Carlos Pantano. "Advanced and high-order numerical discretization methods for large-eddy simulation that maximize subgrid-scale model resolution." In 21st AIAA Computational Fluid Dynamics Conference. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2013. http://dx.doi.org/10.2514/6.2013-2725.
Повний текст джерелаWang, Baokun, Shaohua Wang, and Ying Luo. "Design and High Accuracy Numerical Implementation of Fractional Order PI Controller for a PMSM Speed System." In ASME 2021 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/detc2021-71115.
Повний текст джерелаCosta Nogueira Junior, Alberto, João Lucas De Sousa Almeida, and Cláudio Alessandro De Carvalho Silva. "ON THE CHOICE OF SHOCK CAPTURING SCHEMES FOR THE SOLUTION OF THE LWR TRAFFIC FLOW EQUATION USING A HIGH ORDER MODAL DISCONTINUOUS GALERKIN DISCRETIZATION." In VII European Congress on Computational Methods in Applied Sciences and Engineering. Athens: Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece, 2016. http://dx.doi.org/10.7712/100016.2392.8319.
Повний текст джерелаYang, H. Q., Z. J. Chen, and Jonathan G. Dudley. "Development of High-Order Scheme in Unstructured Mesh for Direct Numerical Simulations." In ASME 2013 Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/fedsm2013-16386.
Повний текст джерелаЗвіти організацій з теми "High-order discretization methods"
May, Georg. High Order Methods for Compressible Viscous Flow on Unstructured Meshes: New Discretization Techniques and Algorithms. Fort Belvoir, VA: Defense Technical Information Center, February 2014. http://dx.doi.org/10.21236/ada607457.
Повний текст джерелаСоловйов, Володимир Миколайович, Vladimir Saptsin, and Dmitry Chabanenko. Prediction of financial time series with the technology of high-order Markov chains. AGSOE, March 2009. http://dx.doi.org/10.31812/0564/1131.
Повний текст джерелаRay, Jaideep, Sophia Lefantzi, Habib N. Najm, and Christopher A. Kennedy. Using high-order methods on adaptively refined block-structured meshes - discretizations, interpolations, and filters. Office of Scientific and Technical Information (OSTI), January 2006. http://dx.doi.org/10.2172/877727.
Повний текст джерела