Academic literature on the topic 'Dissipative Scheme'

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Journal articles on the topic "Dissipative Scheme"

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HANSEN, JAKOB, ALEXEI KHOKHLOV, and IGOR NOVIKOV. "PROPERTIES OF FOUR NUMERICAL SCHEMES APPLIED TO A NONLINEAR SCALAR WAVE EQUATION WITH A GR-TYPE NONLINEARITY." International Journal of Modern Physics D 13, no. 05 (2004): 961–82. http://dx.doi.org/10.1142/s021827180400502x.

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We study stability, dispersion and dissipation properties of four numerical schemes (Itera-tive Crank–Nicolson, 3rd and 4th order Runge–Kutta and Courant–Fredrichs–Levy Nonlinear). By use of a Von Neumann analysis we study the schemes applied to a scalar linear wave equation as well as a scalar nonlinear wave equation with a type of nonlinearity present in GR-equations. Numerical testing is done to verify analytic results. We find that the method of lines (MOL) schemes are the most dispersive and dissipative schemes. The Courant–Fredrichs–Levy Nonlinear (CFLN) scheme is most accurate and least
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Burkhardt, Ulrike, and Erich Becker. "A Consistent Diffusion–Dissipation Parameterization in the ECHAM Climate Model." Monthly Weather Review 134, no. 4 (2006): 1194–204. http://dx.doi.org/10.1175/mwr3112.1.

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Abstract The diffusion–dissipation parameterizations usually adopted in GCMs are not physically consistent. Horizontal momentum diffusion, applied in the form of a hyperdiffusion, does not conserve angular momentum and the associated dissipative heating is commonly ignored. Dissipative heating associated with vertical momentum diffusion is often included, but in a way that is inconsistent with the second law of thermodynamics. New, physically consistent, dissipative heating schemes due to horizontal diffusion (Becker) and vertical diffusion (Becker, and Boville and Bretherton) have been develo
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Chen, Xiaowei, Mingzhan Song, and Songhe Song. "A Fourth Order Energy Dissipative Scheme for a Traffic Flow Model." Mathematics 8, no. 8 (2020): 1238. http://dx.doi.org/10.3390/math8081238.

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We propose, analyze and numerically validate a new energy dissipative scheme for the Ginzburg–Landau equation by using the invariant energy quadratization approach. First, the Ginzburg–Landau equation is transformed into an equivalent formulation which possesses the quadratic energy dissipation law. After the space-discretization of the Fourier pseudo-spectral method, the semi-discrete system is proved to be energy dissipative. Using diagonally implicit Runge–Kutta scheme, the semi-discrete system is integrated in the time direction. Then the presented full-discrete scheme preserves the energy
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Najafiyazdi, Mostafa, Luc Mongeau, and Siva Nadarajah. "Low-dissipation low-dispersion explicit Taylor-Galerkin schemes from the Runge-Kutta kernels." International Journal of Aeroacoustics 17, no. 1-2 (2018): 88–113. http://dx.doi.org/10.1177/1475472x17743657.

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A multi-stage approach was adopted to investigate similarities and differences between the explicit Taylor-Galerkin and the explicit Runge-Kutta time integration schemes. It was found that the substitution of some, but not all, of second-order temporal derivatives in a Taylor-Galerkin scheme by additional stages makes it analogous to a Runge-Kutta scheme while preserving its original dissipative property for node-to-node oscillations. The substitution of all second-order temporal derivatives transforms Taylor-Galerkin schemes into Runge-Kutta schemes with zero attenuation at the grid cut-off.
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Appadu, A. R. "Numerical Solution of the 1D Advection-Diffusion Equation Using Standard and Nonstandard Finite Difference Schemes." Journal of Applied Mathematics 2013 (2013): 1–14. http://dx.doi.org/10.1155/2013/734374.

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Three numerical methods have been used to solve the one-dimensional advection-diffusion equation with constant coefficients. This partial differential equation is dissipative but not dispersive. We consider the Lax-Wendroff scheme which is explicit, the Crank-Nicolson scheme which is implicit, and a nonstandard finite difference scheme (Mickens 1991). We solve a 1D numerical experiment with specified initial and boundary conditions, for which the exact solution is known using all these three schemes using some different values for the space and time step sizes denoted byhandk, respectively, fo
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Zlotnik, Alexander, and Timofey Lomonosov. "VERIFICATION OF AN ENTROPY DISSIPATIVE QGD-SCHEME." Mathematical Modelling and Analysis 24, no. 2 (2019): 179–94. http://dx.doi.org/10.3846/mma.2019.013.

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An entropy dissipative spatial discretization has recently been constructed for the multidimensional gas dynamics equations based on their preliminary parabolic quasi-gasdynamic (QGD) regularization. In this paper, an explicit finite-difference scheme with such a discretization is verified on several versions of the 1D Riemann problem, both well-known in the literature and new. The scheme is compared with the previously constructed QGD-schemes and its merits are noticed. Practical convergence rates in the mesh L1-norm are computed. We also analyze the practical relevance in the nonlinear state
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Lin, F. B., and F. Sotiropoulos. "Assessment of Artificial Dissipation Models for Three-Dimensional Incompressible Flow Solutions." Journal of Fluids Engineering 119, no. 2 (1997): 331–40. http://dx.doi.org/10.1115/1.2819138.

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Various approaches for constructing artificial dissipation terms for three-dimensional artificial compressibility algorithms are presented and evaluated. Two, second-order accurate, central-differencing schemes, with explicitly added scalar and matrix-valued fourth-difference artificial dissipation, respectively, and a third-order accurate flux-difference splitting upwind scheme are implemented in a multigrid time-stepping procedure and applied to calculate laminar flow through a strongly curved duct. Extensive grid-refinement studies are carried out to investigate the grid sensitivity of each
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Zhang, Yang, Laiping Zhang, Xin He, and Xiaogang Deng. "An Improved Second-Order Finite-Volume Algorithm for Detached-Eddy Simulation Based on Hybrid Grids." Communications in Computational Physics 20, no. 2 (2016): 459–85. http://dx.doi.org/10.4208/cicp.190915.240216a.

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AbstractA hybrid grid based second-order finite volume algorithm has been developed for Detached-Eddy Simulation (DES) of turbulent flows. To alleviate the effect caused by the numerical dissipation of the commonly used second order upwind schemes in implementing DES with unstructured computational fluid dynamics (CFD) algorithms, an improved second-order hybrid scheme is established through modifying the dissipation term of the standard Roe's flux-difference splitting scheme and the numerical dissipation of the scheme can be self-adapted according to the DES flow field information. By Fourier
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Lu, Changna, Qianqian Gao, Chen Fu, and Hongwei Yang. "Finite Element Method of BBM-Burgers Equation with Dissipative Term Based on Adaptive Moving Mesh." Discrete Dynamics in Nature and Society 2017 (2017): 1–11. http://dx.doi.org/10.1155/2017/3427376.

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A finite element model is proposed for the Benjamin-Bona-Mahony-Burgers (BBM-Burgers) equation with a high-order dissipative term; the scheme is based on adaptive moving meshes. The model can be applied to the equations with spatial-time mixed derivatives and high-order derivative terms. In this scheme, new variables are needed to make the equation become a coupled system, and then the linear finite element method is used to discretize the spatial derivative and the fifth-order Radau IIA method is used to discretize the time derivative. The simulations of 1D and 2D BBM-Burgers equations with h
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Mai-Duy, N., N. Phan-Thien, and T. Tran-Cong. "An improved dissipative particle dynamics scheme." Applied Mathematical Modelling 46 (June 2017): 602–17. http://dx.doi.org/10.1016/j.apm.2017.01.086.

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Dissertations / Theses on the topic "Dissipative Scheme"

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Fiebach, André [Verfasser]. "A dissipative finite volume scheme for reaction-diffusion systems in heterogeneous materials / André Fiebach." Berlin : Freie Universität Berlin, 2014. http://d-nb.info/1057869732/34.

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Avila, Jorge Andrés Julca. "Solução numérica em jatos de líquidos metaestáveis com evaporação rápida." Universidade de São Paulo, 2008. http://www.teses.usp.br/teses/disponiveis/3/3150/tde-13082008-010924/.

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Este trabalho estuda o fenômeno de evaporação rápida em jatos de líquidos superaquecidos ou metaestáveis numa região 2D. O fenômeno se inicia, neste caso, quando um jato na fase líquida a alta temperatura e pressão, emerge de um diminuto bocal projetando-se numa câmara de baixa pressão, inferior à pressão de saturação. Durante a evolução do processo, ao cruzar-se a curva de saturação, se observa que o fluido ainda permanece no estado de líquido superaquecido. Então, subitamente o líquido superaquecido muda de fase por meio de uma onda de evaporação oblíqua. Esta mudança de fase transforma o lí
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Bensaid, Bilel. "Analyse et développement de nouveaux optimiseurs en Machine Learning." Electronic Thesis or Diss., Bordeaux, 2024. http://www.theses.fr/2024BORD0218.

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Ces dernières années, l’intelligence artificielle (IA) est confrontée à deux défis majeurs (parmi d’autres), à savoir l’explicabilité et la frugalité, dans un contexte d’intégration de l’IA dans des systèmes critiques ou embarqués et de raréfaction des ressources. Le défi est d’autant plus conséquent que les modèles proposés apparaissent commes des boîtes noires étant donné le nombre faramineux d’hyperparamètres à régler (véritable savoir-faire) pour les faire fonctionner. Parmi ces paramètres, l’optimiseur ainsi que les réglages qui lui sont associés ont un rôle critique dans la bonne mise en
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Petropoulos, Ilias. "Study of high-order vorticity confinement schemes." Thesis, Paris, ENSAM, 2018. http://www.theses.fr/2018ENAM0001/document.

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Les tourbillons sont des structures importantes pour une large gamme d'écoulements de fluides, notamment les sillages, l'interaction fluide-structure, les décollements de couche limite et la turbulence. Cependant, les méthodes numériques classiques n'arrivent généralement pas à donner une représentation précise des tourbillons. Ceci est principalement lié à la dissipation numérique des schémas qui, si elle n'est pas spécifiquement calibrée pour le calcul des écoulements tourbillonnaires, conduit à une diffusion artificielle très rapide des tourbillons dans les calculs. Parmi d'autres approches
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Wajid, Hafiz Abdul. "Dispersive and dissipative properties of high order schemes for computational wave propagation." Thesis, University of Strathclyde, 2009. http://oleg.lib.strath.ac.uk:80/R/?func=dbin-jump-full&object_id=11530.

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Lee, Dongwook. "An unsplit staggered mesh scheme for multidimensional magnetohydrodynamics a staggered dissipation-control differencing algorithm /." College Park, Md. : University of Maryland, 2006. http://hdl.handle.net/1903/3842.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2006.<br>Thesis research directed by: Applied Mathematics and Scientific Computation Program. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
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Nazari, Farshid. "Strongly Stable and Accurate Numerical Integration Schemes for Nonlinear Systems in Atmospheric Models." Thesis, Université d'Ottawa / University of Ottawa, 2015. http://hdl.handle.net/10393/32128.

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Nonlinearity accompanied with stiffness in atmospheric boundary layer physical parameterizations is a well-known concern in numerical weather prediction (NWP) models. Nonlinear diffusion equations, furthermore, are a class of equations which are extensively applicable in different fields of science and engineering. Numerical stability and accuracy is a common concern in this class of equation. In the present research, a comprehensive effort has been made toward the temporal integration of such equations. The main goal is to find highly stable and accurate numerical methods which can be used s
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Azim, Riasat. "Low-Storage Hybrid MacCormack-type Schemes with High Order Temporal Accuracy for Computational Aeroacoustics." University of Toledo / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1515720270119389.

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Huart, Robin. "Simulation numérique d'écoulements magnétohydrodynamiques par des schémas distribuant le résidu." Thesis, Bordeaux 1, 2012. http://www.theses.fr/2012BOR14480/document.

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Au cours de ce travail, nous nous sommes attaché à la résolution numérique des équations de la Magnétohydrodynamique (MHD) auxquelles s'ajoute une loi hyperbolique de transport des erreurs de divergence.La première étape consista à symétriser le nouveau système de la MHD idéale afin d'en étudier le système propre, ce qui fut l'occasion de rappeler le rôle de l'entropie au niveau de ce calcul comme à celui de l'inégalité de Clausius-Duhem. La suite de cette thèse eut pour objectif la résolution de ces équations idéales à l'aide de schémas distribuant le résidu (notés RD). Les quatre principaux
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Langenberg, Marcel Simon Verfasser], Marcus [Akademischer Betreuer] Müller, Marcus [Gutachter] Müller, et al. "Energy dissipation and transport in polymeric switchable nanostructures via a new energy-conserving Monte-Carlo scheme / Marcel Simon Langenberg ; Gutachter: Marcus Müller, Reiner Kree, Cynthia Volkert, Krüger, Annette Zippelius, Stefan Klumpp ; Betreuer: Marcus Müller." Göttingen : Niedersächsische Staats- und Universitätsbibliothek Göttingen, 2018. http://d-nb.info/1156460581/34.

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Books on the topic "Dissipative Scheme"

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Yeffet, Amir. A non-dissipative staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell's equations. National Aeronautics and Space Administration, Langley Research Center, 1999.

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Yeffet, Amir. A non-dissipative staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell's equations. National Aeronautics and Space Administration, Langley Research Center, 1999.

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Yeffet, Amir. A non-dissipative staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell's equations. National Aeronautics and Space Administration, Langley Research Center, 1999.

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Yeffet, Amir. A non-dissipative staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell's equations. National Aeronautics and Space Administration, Langley Research Center, 1999.

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Yeffet, Amir. A non-dissipative staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell's equations. National Aeronautics and Space Administration, Langley Research Center, 1999.

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Roe, P. L. Linear bicharacteristic schemes without dissipation. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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Institute for Computer Applications in Science and Engineering., ed. Linear bicharacteristic schemes without dissipation. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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R, Radespiel, Turkel E, and Institute for Computer Applications in Science and Engineering., eds. Comparison of several dissipation algorithms for central difference schemes. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1997.

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Swanson, R. Charles. On central-difference and upwind schemes. National Aeronautics and Space Administration, Langley Research Center, Institute for Computer Applications in Science and Engineering, 1990.

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Swanson, R. Charles. On central-difference and upwind schemes. National Aeronautics and Space Administration, Langley Research Center, Institute for Computer Applications in Science and Engineering, 1990.

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Book chapters on the topic "Dissipative Scheme"

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Wen, Chih-Yung, Yazhong Jiang, and Lisong Shi. "Non-dissipative Core Scheme of CESE Method." In Engineering Applications of Computational Methods. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-0876-9_2.

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AbstractThis chapter is devoted to demonstrating the basic ideas in the CESE method. These ideas include the adoption of a space–time integral form of governing equations as the starting point of scheme construction, as well as the introduction of conservation element (CE) and solution element (SE) in the discretization of space–time domain. Then, the non-dissipative core scheme of the CESE method will be presented in detail.
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Poluru, Venkata Reddy. "A Low Dissipative Scheme for Hyperbolic Conservation Laws." In Lecture Notes in Mechanical Engineering. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-15-9956-9_57.

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Wen, Chih-Yung, Yazhong Jiang, and Lisong Shi. "CESE Schemes with Numerical Dissipation." In Engineering Applications of Computational Methods. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-0876-9_3.

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AbstractAs depicted in Chap. 2, the interface between the two sub-CEs (CD in Fig. 2.7), belongs to the SE of (j, n). The flux FC needs to be calculated through the Taylor expansion at point (j, n) toward the inverse time direction. As a result, the a scheme is reversible. This violates the second law of thermodynamics. Thus, the non-dissipative core suffers from the unphysical oscillations for practical applications.
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Fu, Lei, Chenliang Gu, and Jiachang Shi. "Dissipative Control for Singular T-S Fuzzy Systems Under Dynamic Event-Triggered Scheme." In Proceedings of International Conference on Image, Vision and Intelligent Systems 2023 (ICIVIS 2023). Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-0855-0_68.

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Aristova, Elena N. "Hermitian Grid-Characteristic Scheme for Linear Transport Equation and Its Dissipative-Dispersion Properties." In Smart Modelling for Engineering Systems. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-33-4619-2_5.

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Wen, Chih-Yung, Yazhong Jiang, and Lisong Shi. "Multi-dimensional CESE Schemes." In Engineering Applications of Computational Methods. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-0876-9_4.

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Yang, Yan. "Hybrid Scheme for Compressible MHD Turbulence." In Energy Transfer and Dissipation in Plasma Turbulence. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-8149-2_3.

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Yee, H. C., and B. Sjögreen. "Designing Adaptive Low Dissipative High Order Schemes." In Computational Fluid Dynamics 2002. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-59334-5_15.

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Sonar, Thomas. "Entropy Dissipation in Finite Difference Schemes." In Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects. Vieweg+Teubner Verlag, 1993. http://dx.doi.org/10.1007/978-3-322-87871-7_66.

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Wu, Xinyuan, and Bin Wang. "Linearly-Fitted Conservative (Dissipative) Schemes for Nonlinear Wave Equations." In Geometric Integrators for Differential Equations with Highly Oscillatory Solutions. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-0147-7_8.

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Conference papers on the topic "Dissipative Scheme"

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Hou, Daizheng, Yanfei Zhang, and Yafu Zhou. "A Novel Heat Dissipation Optimization Design Scheme of Printed Circuit Board." In 2024 3rd International Conference on Energy, Power and Electrical Technology (ICEPET). IEEE, 2024. http://dx.doi.org/10.1109/icepet61938.2024.10627435.

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Henke, Jan-Wilke, Yujia Yang, F. Jasmin Kappert, et al. "Probing the Formation of Nonlinear Optical States with Free Electrons." In CLEO: Fundamental Science. Optica Publishing Group, 2024. http://dx.doi.org/10.1364/cleo_fs.2024.fw3p.3.

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Combining nonlinear integrated photonics with electron microscopy, we probe the formation of optical dissipative structures in Si3N4 microresonators with free electrons and find unique spectral fingerprints in the electron spectrum that enable new electron beam modulation schemes.
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Pinho, Pedro V., André G. Primo, Natália C. Carvalho, et al. "Quadrature-Resolved Dissipative Optomechanical Measurement." In CLEO: Fundamental Science. Optica Publishing Group, 2023. http://dx.doi.org/10.1364/cleo_fs.2023.fth1b.2.

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Primo, André G., Pedro V. Pinho, Natália C. Carvalho, et al. "Homodyne Detection of Dissipative Optomechanical Interactions." In Latin America Optics and Photonics Conference. Optica Publishing Group, 2022. http://dx.doi.org/10.1364/laop.2022.m4d.6.

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We present and validate a novel route to directly probe the dissipative optomechanical coupling in a balanced homodyne detection scheme. The ratio between dissipative and dispersive coupling is determined as G κ e / G ω ≈ − 0.007 ± 0.001 .
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Kim, Dehee, and Jang Hyuk Kwon. "A Low Dissipative and Dispersive Scheme with a High Order WENO Dissipation for Unsteady Flow Analyses." In 34th AIAA Fluid Dynamics Conference and Exhibit. American Institute of Aeronautics and Astronautics, 2004. http://dx.doi.org/10.2514/6.2004-2705.

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Poe, Nicole M. W., and D. Keith Walters. "A Low-Dissipation Optimization-Based Gradient Reconstruction (OGRE) Scheme for Finite Volume Simulations." In ASME-JSME-KSME 2011 Joint Fluids Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/ajk2011-01013.

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Finite volume methods employing second-order gradient reconstruction schemes are often utilized to computationally solve the governing equations of transport. These reconstruction schemes, while not as dissipative as first-order schemes, frequently produce either dispersive or oscillatory solutions, especially in regions of discontinuities, and/or unsatisfactory levels of dissipation in smooth regions of the variable field. A novel gradient reconstruction scheme is presented in this work which shows significant improvement over traditional second-order schemes. This Optimization-based Gradient
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Matsuo, T., E. Torii, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "A Dissipative Linearly-Implicit Scheme for the Ginzburg-Landau Equation." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP, 2009. http://dx.doi.org/10.1063/1.3241623.

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Tian, Cheng, Song Fu, and Siya Jiang. "Numerical Dissipation Effects on Detached Eddy Simulation of Turbomachinery Flows." In GPPS Xi'an21. GPPS, 2022. http://dx.doi.org/10.33737/gpps21-tc-74.

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Detached eddy simulation (DES) is a high-resolution method for predicting complex unsteady flows in turbomachinery. Recent researches have shown that in DES the numerical dissipation from the spatial discretization scheme should be limited to a reasonable extent. Through the test-case of decaying isotropic turbulence, the impact of the Roe scheme is assessed with three reconstruction approaches: the 3rd-order MUSCL, the 5th-order WENO, and the 4th-order minimized dispersion and controllable dissipation (MDCD) scheme. From the results, however, even with the least dissipative 4th-order MDCD sch
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Bahrainian, Seyed Saied. "Effect of Dissipative Terms on the Quality of Two and Three-Dimensional Euler Flow Solutions." In ASME 2008 Fluids Engineering Division Summer Meeting collocated with the Heat Transfer, Energy Sustainability, and 3rd Energy Nanotechnology Conferences. ASMEDC, 2008. http://dx.doi.org/10.1115/fedsm2008-55221.

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The Euler equations are a set of non-dissipative hyperbolic conservation laws that can become unstable near regions of severe pressure variation. To prevent oscillations near shockwaves, these equations require artificial dissipation terms to be added to the discretized equations. A combination of first-order and third-order dissipative terms control the stability of the flow solutions. The assigned magnitude of these dissipative terms can have a direct effect on the quality of the flow solution. To examine these effects, subsonic and transonic solutions of the Euler equations for a flow passe
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Ma, Yian, Qijun Tan, Ruoshi Yuan, Bo Yuan, and Ping Ao. "Decomposition scheme in continuous dissipative chaotic systems and role of strange attractors." In 2013 International Conference on Noise and Fluctuations (ICNF). IEEE, 2013. http://dx.doi.org/10.1109/icnf.2013.6578915.

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Reports on the topic "Dissipative Scheme"

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Cabot, B., D. Eliason, and L. Jameson. A Wavelet Based Dissipation Method for ALE Schemes. Office of Scientific and Technical Information (OSTI), 2000. http://dx.doi.org/10.2172/793693.

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ANALYSIS OF THE SEISMIC BEHAVIOR OF INNOVATIVE ALUMINIUM ALLOY ENERGY DISSIPATION BRACES. The Hong Kong Institute of Steel Construction, 2022. http://dx.doi.org/10.18057/icass2020.p.341.

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In this study the employment of aluminium alloy buckling-restrained braces (ALBRBs) as energy dissipation dampers is attempted for seismic performance upgrading of single layer dome and the effectiveness of ALBRBs to protect structures against strong earthquakes is numerically studied. With buckling restrained, ALBRB members can provide stable energy dissipation capacity and thus damage of the whole structure under major earthquakes can be mitigated. ALBRBs are then placed at certain locations on the example single layer dome to replace some normal members with two schemes, and the effect of t
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