Relevant bibliographies by topics / Semi-Lagrangian scheme

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Semi-Lagrangian scheme'

Author: Grafiati
Published: 22 February 2023
Last updated: 31 July 2025

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Journal articles on the topic "Semi-Lagrangian scheme"

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Shashkin, Vladimir V., and Gordey S. Goyman. "Semi-Lagrangian exponential time-integration method for the shallow water equations on the cubed sphere grid." Russian Journal of Numerical Analysis and Mathematical Modelling 35, no. 6 (2020): 355–66. http://dx.doi.org/10.1515/rnam-2020-0029.

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AbstractThis paper proposes the combination of matrix exponential method with the semi-Lagrangian approach for the time integration of shallow water equations on the sphere. The second order accuracy of the developed scheme is shown. Exponential semi-Lagrangian scheme in the combination with spatial approximation on the cubed-sphere grid is verified using the standard test problems for shallow water models. The developed scheme is as good as the conventional semi-implicit semi-Lagrangian scheme in accuracy of slowly varying flow component reproduction and significantly better in the reproducti
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Seaïd, Mohammed. "Semi-lagrangian integration schemes for viscous incompressible flows." Computational Methods in Applied Mathematics 2, no. 4 (2002): 392–409. http://dx.doi.org/10.2478/cmam-2002-0022.

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AbstractA new second-order accurate scheme for the computation of unsteady viscous incompressible flows is proposed. The scheme is based on the vorticity-stream function formulation along the characteristics and consists of combining the modified method of characteristics with an explicit scheme with an extended real stability interval. A comparison of the new method with the semi-Lagrangian Cranck-Nicolson and classical semi-Lagrangian Runge-Kutta schemes is presented. Numerical results are carried out on Navier-Stokes equations and this efficient second-order scheme has also made it possible
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Sørensen, B., E. Kaas, and U. S. Korsholm. "A mass-conserving and multi-tracer efficient transport scheme in the online integrated Enviro-HIRLAM model." Geoscientific Model Development 6, no. 4 (2013): 1029–42. http://dx.doi.org/10.5194/gmd-6-1029-2013.

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Abstract. In this paper a new advection scheme for the online coupled chemical–weather prediction model Enviro-HIRLAM is presented. The new scheme is based on the locally mass-conserving semi-Lagrangian method (LMCSL), where the original two-dimensional scheme has been extended to a fully three-dimensional version. This means that the three-dimensional semi-implicit semi-Lagrangian scheme which is currently used in Enviro-HIRLAM is largely unchanged. The HIRLAM model is a computationally efficient hydrostatic operational short-term numerical weather prediction model, which is used as the base
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Sørensen, B., E. Kaas, and U. S. Korsholm. "A mass conserving and multi-tracer efficient transport scheme in the online integrated Enviro-HIRLAM model." Geoscientific Model Development Discussions 5, no. 4 (2012): 3733–69. http://dx.doi.org/10.5194/gmdd-5-3733-2012.

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Abstract. In this paper a new advection scheme for the online coupled chemical-weather prediction model Enviro-HIRLAM is presented. The new scheme is based on the locally mass conserving semi-Lagrangian method (LMCSL), where the original two-dimensional scheme has been extended to a fully three-dimensional version. This means that the three-dimensional semi-implicit semi-Lagrangian scheme which is currently used in Enviro-HIRLAM, is largely unchanged. The HIRLAM model is a computationally efficient hydrostatic operational short term numerical weather prediction model, which is used as the base
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Lauritzen, Peter H., Eigil Kaas, and Bennert Machenhauer. "A Mass-Conservative Semi-Implicit Semi-Lagrangian Limited-Area Shallow-Water Model on the Sphere." Monthly Weather Review 134, no. 4 (2006): 1205–21. http://dx.doi.org/10.1175/mwr3115.1.

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Abstract A locally mass conservative shallow-water model using a two-time-level, semi-implicit, semi-Lagrangian integration scheme is presented. The momentum equations are solved with the traditional semi-Lagrangian gridpoint form. The explicit continuity equation is solved using a cell-integrated semi-Lagrangian scheme, and the semi-implicit part is designed such that the resulting elliptic equation is on the same form as for the traditional semi-Lagrangian gridpoint system. The accuracy of the model is assessed by running standard test cases adapted to a limited-area domain. The accuracy and
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Wu, Lang, Dazhi Zhang, Boying Wu, and Xiong Meng. "Fifth-Order Mapped Semi-Lagrangian Weighted Essentially Nonoscillatory Methods Near Certain Smooth Extrema." Journal of Applied Mathematics 2014 (2014): 1–14. http://dx.doi.org/10.1155/2014/127624.

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Fifth-order mapped semi-Lagrangian weighted essentially nonoscillatory (WENO) methods at certain smooth extrema are developed in this study. The schemes contain the mapped semi-Lagrangian finite volume (M-SL-FV) WENO 5 method and the mapped compact semi-Lagrangian finite difference (M-C-SL-FD) WENO 5 method. The weights in the more common scheme lose accuracy at certain smooth extrema. We introduce mapped weighting to handle the problem. In general, a cell average is applied to construct the M-SL-FV WENO 5 reconstruction, and the M-C-SL-FD WENO 5 interpolation scheme is proposed based on an in
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Hansen, A. B., J. Brandt, J. H. Christensen, and E. Kaas. "Semi-Lagrangian methods in air pollution models." Geoscientific Model Development 4, no. 2 (2011): 511–41. http://dx.doi.org/10.5194/gmd-4-511-2011.

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Abstract. Various semi-Lagrangian methods are tested with respect to advection in air pollution modeling. The aim is to find a method fulfilling as many of the desirable properties by Rasch andWilliamson (1990) and Machenhauer et al. (2008) as possible. The focus in this study is on accuracy and local mass conservation. The methods tested are, first, classical semi-Lagrangian cubic interpolation, see e.g. Durran (1999), second, semi-Lagrangian cubic cascade interpolation, by Nair et al. (2002), third, semi-Lagrangian cubic interpolation with the modified interpolation weights, Locally Mass Con
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Hansen, A. B., J. Brandt, J. H. Christensen, and E. Kaas. "Semi-Lagrangian methods in air pollution models." Geoscientific Model Development Discussions 3, no. 4 (2010): 2361–438. http://dx.doi.org/10.5194/gmdd-3-2361-2010.

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Abstract. Various semi-Lagrangian methods are tested with respect to advection in air pollution modeling. The aim is to find a method fulfilling as many of the desirable properties by Rasch and Williamson (1990) and Machenhauer et al. (2008) as possible. The focus in this study is on accuracy and local mass conservation. The methods tested are, first, classical semi-Lagrangian cubic interpolation, see e.g. Durran (1999), second, semi-Lagrangian cubic cascade interpolation, by Nair et al. (2002), third, semi-Lagrangian cubic interpolation with the modified interpolation weights, Locally Mass Co
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Lynch, Peter. "A Lagrange–Laplace Integration Scheme for Weather Prediction and Climate Modelling." Meteorology 1, no. 4 (2022): 355–76. http://dx.doi.org/10.3390/meteorology1040023.

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A time integration scheme based on semi-Lagrangian advection and Laplace transform adjustment has been implemented in a baroclinic primitive equation model. The semi-Lagrangian scheme makes it possible to use large time steps. However, errors arising from the semi-implicit scheme increase with the time step size. In contrast, the errors using the Laplace transform adjustment remain relatively small for typical time steps used with semi-Lagrangian advection. Numerical experiments confirm the superior performance of the Laplace transform scheme relative to the semi-implicit reference model. The
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Shaydurov, Vladimir V., and Viktoriya S. Petrakova. "Semi-Lagrangian approximations of the transfer operator in divergent form." Russian Journal of Numerical Analysis and Mathematical Modelling 39, no. 3 (2024): 157–64. http://dx.doi.org/10.1515/rnam-2024-0015.

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Abstract The paper demonstrates two approaches to constructing monotonic difference schemes for the transfer equation in divergent form from the family of semi-Lagrangian methods: Eulerian–Lagrangian and Lagrangian–Eulerian. Within each approach, a monotonic conservative difference scheme is proposed. It is shown that within the framework of the Lagrangian–Eulerian approach, based on the use of curvilinear grids formed by the characteristics of the approximated transfer operator, it is possible to construct monotonic difference schemes of second order accuracy.
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Dissertations / Theses on the topic "Semi-Lagrangian scheme"

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Michalk, Linda [Verfasser]. "Semi-Analytical Semi-Lagrangian Discontinuous Galerkin Advection Scheme for the Compressible Linear Advection Equation / Linda Michalk." Berlin : Freie Universität Berlin, 2018. http://d-nb.info/1176707140/34.

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Allievi, Alejandro. "On nonlinear free surface potential flow by a Bubnov-Galerkin formulation in space and a semi-lagrangian semi-implicit scheme in time." Thesis, University of British Columbia, 1993. http://hdl.handle.net/2429/41452.

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The potential flow initial-boundary value problem describing fluid-structure interaction with fully nonlinear free surface boundary conditions has been studied using a mixed Lagrangian-Eulerian formulation. The boundary-value problem has been solved in the physical domain by means of a Bubnov-Galerkin formulation of the Laplace equation. The initialvalue problem related to the behavior of some of the moving boundaries has been discretized using various numerical techniques. Among these is a series of predictor-corrector methods. These methodologies proved to require considerable numerica
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Guclu, Yaman. "Modular numerical environment for the characterization of a Helicon plasma thruster." Doctoral thesis, Università degli studi di Padova, 2011. http://hdl.handle.net/11577/3421711.

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The Helicon Plasma Thruster is a space propulsion system composed of a Helicon plasma source, with a properly designed magnetic nozzle. It is a very attractive concept due to the expected range of specific impulse and thrust-to-weight ratio, the scalability of the design, and the simplicity of construction; moreover, it is electrode-less and has no moving parts, and hence it can be expected to have an extended lifetime. Although Helicon plasma sources have been used for decades in laboratories for producing high density plasmas, they are not fully understood yet. In fact, despite the simple g
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Kometa, Bawfeh Kingsley. "Semi-Lagrangian methods and new integration schemes for convection-dominated problems." Doctoral thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag, 2011. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-15729.

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Bourne, Emily. "Non-uniform numerical schemes for the modelling of turbulence in the 5D GYSELA code." Electronic Thesis or Diss., Aix-Marseille, 2022. http://www.theses.fr/2022AIXM0412.

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Cette thèse s'inscrit dans le cadre des simulations de plasma fusion et son objectif est double: (i) développer des méthodes numériques innovantes adaptées au schéma semi-lagrangien utilisé dans le code 5D gyrocinétique GYSELA, capables de résoudre le problème de grande amplitude de fluctuations et de variation de température au bord du plasma et (ii) prendre en compte des configurations magnétiques plus réalistes que les celles jusqu'alors simulées dans le code. Je présente une nouvelle approche pour la quadrature par splines qui limite le conditionnement pour l'obtention des coefficients de
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Rotaetxe, Julen. "Boundary treatment and multigrid preconditioning for semi-Lagrangian schemes applied to Hamilton-Jacobi-Bellman equations." Thesis, University of Oxford, 2016. https://ora.ox.ac.uk/objects/uuid:e0d3915d-0467-4a1b-9b3b-7d511df405f0.

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We analyse two practical aspects that arise in the numerical solution of Hamilton-Jacobi-Bellman (HJB) equations by a particular class of monotone approximation schemes known as semi-Lagrangian schemes, namely boundary treatment and multigrid preconditioning. These schemes make use of a wide stencil to achieve convergence and result in discretization matrices that are less sparse and less local than those coming from standard finite difference schemes. This leads to computational difficulties not encountered there. We start by considering the overstepping of the domain boundary and analyse the
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Blanc, Thomas. "Etude mathématique des problèmes paraboliques fortement anisotropes." Thesis, Aix-Marseille, 2017. http://www.theses.fr/2017AIXM0570.

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Ce manuscrit de thèse traite de l'analyse asymptotique de problèmes paraboliques possédant des termes raides. Dans un premier temps, on fait l'analyse asymptotique d'un système parabolique possédant des termes de transport raide. Une analyse à deux échelles, basée sur des résultats de théorie ergodique, nous permet de dériver un système limite effectif. Ce système effectif se trouve être, de nouveau, un système parabolique dont le champ de diffusion peut être explicité par une moyenne du champ de diffusion initial le long d'un groupe d'opérateurs unitaires. L'introduction d'un correcteur nous
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Vivion, Léo. "Particules classiques et quantiques en interaction avec leur environnement : analyse de stabilité et problèmes asymptotiques." Thesis, Université Côte d'Azur, 2020. https://tel.archives-ouvertes.fr/tel-03135254.

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Au début des années 2000, inspirés par les travaux fondateurs de A.O. Caldeira et A.J. Leggett, L. Bruneau et S. de Bièvre ont introduit un modèle hamiltonien décrivant les échanges d'énergie entre une particule classique et son environnement, ce modèle étant tel que l'environnement agit sur la particule comme une force de friction. D'un côté ce modèle a été étendu au cas de plusieurs particules et, lorsque le nombre de particules considérées est très grand, un modèle cinétique a également été dérivé. Dans la suite ce modèle sera appelé système Vlasov-Onde. De l'autre, comme ce modèle est hami
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CALZOLA, ELISA. "Semi-Lagrangian schemes for parabolic equations: second order accuracy and boundary conditions." Doctoral thesis, 2022. http://hdl.handle.net/11573/1632742.

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This thesis deals with second order parabolic differential equations and some semi-Lagrangian methods to approximate their solutions. We start with a brief survey of the main theoretical results concerning linear and nonlinear parabolic equations, recalling some existence and uniqueness to the Cauchy problem on the entire space and to the Initial-Boundary value problem with Dirichlet and Neumann type boundary conditions. In the following three chapters, we present our approach to the numerical solution to three different problems. First, we introduce a semi-Lagrangian method for advection-diff
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Wang, Jing-Ying, and 王旌熒. "Applications to Monotone Semi-Lagrangian Schemes in Convective Cloud Simulations." Thesis, 1998. http://ndltd.ncl.edu.tw/handle/68756417170132009567.

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碩士<br>國立臺灣大學<br>大氣科學系研究所<br>86<br>Semi-Lagrangian advection can use longer time step without affecting stability. Thus, it is more efficient and accurate than Euler scheme. As we use semi-Lagrangian schemes, we need to use interpolations to retrieve the value of next time step. But these interpolations often result in overshoot or undershoot, especially at vicinity of strong gradients or discontinuities. If this happened to water vapor, water vapor might be supersaturation or negative. Thus make the diffi
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Books on the topic "Semi-Lagrangian scheme"

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Crockett, Stephen Robert. A semi-lagrangian discretization scheme for solving the advection-diffusion equation in two-dimensional simply connected regions. National Library of Canada, 1993.

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Book chapters on the topic "Semi-Lagrangian scheme"

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François, Anton, Pietro Gori, and Joan Glaunès. "Metamorphic Image Registration Using a Semi-lagrangian Scheme." In Lecture Notes in Computer Science. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-80209-7_84.

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Bourchtein, Andrei. "Semi-Lagrangian Semi-Implicit Vertically Splitting Scheme for Nonhydrostatic Atmospheric Model." In Computational Science and Its Applications -- ICCSA 2015. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-21407-8_8.

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Bourchtein, Andrei, and Ludmila Bourchtein. "Improved Semi-Lagrangian Stabilizing Correction Scheme for Shallow Water Equations." In Computational Science - ICCS 2004. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-25944-2_86.

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Bourchtein, Andrei. "Semi-Lagrangian Semi-implicit Time Splitting Two Time Level Scheme for Hydrostatic Atmospheric Model." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/978-3-540-31852-1_22.

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Falcone, M., and R. Ferretti. "A-Priori Estimates for a Semi-Lagrangian Scheme for the Wave Equation." In Godunov Methods. Springer US, 2001. http://dx.doi.org/10.1007/978-1-4615-0663-8_30.

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Bourchtein, Andrei, Ludmila Bourchtein, and Maxim Naumov. "Semi-Lagrangian Scale Selective Two-Time-Level Scheme for Hydrostatic Atmospheric Model." In Computational Science – ICCS 2006. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11758501_38.

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Bourchtein, Andrei. "Semi-Lagrangian Implicit-Explicit Two-Time-Level Scheme for Numerical Weather Prediction." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11428831_17.

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Falcone, Maurizio, and Dante Kalise. "A High-Order Semi-Lagrangian/Finite Volume Scheme for Hamilton-Jacobi-Isaacs Equations." In IFIP Advances in Information and Communication Technology. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-662-45504-3_10.

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Behrens, Jörn. "A Parallel Adaptive Finite-Element Semi-Lagrangian Advection Scheme for the Shallow Water Equations." In Notes on Numerical Fluid Mechanics (NNFM). Vieweg+Teubner Verlag, 1997. http://dx.doi.org/10.1007/978-3-322-89565-3_5.

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Pai, Prasad, Prakash Karamchandani, and Akula Venkatram. "Performance of a Flux Conserving and a Semi-Lagrangian Advection Scheme in Simulating a Photochemical Episode." In Air Pollution Modeling and Its Application XI. Springer US, 1996. http://dx.doi.org/10.1007/978-1-4615-5841-5_33.

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Conference papers on the topic "Semi-Lagrangian scheme"

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Yabe, T., F. Xiao, K. Takizawa, and K. Sakurai. "Three-Phase Flow Calculation With Conservative Semi-Lagrangian CIP Method." In ASME 2002 Joint U.S.-European Fluids Engineering Division Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/fedsm2002-31230.

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We present a review of the CIP method, which is a kind of semi-Lagrangian scheme and has been extended to treat incompressible flow in the framework of compressible fluid. Since it uses primitive Euler representation, it is suitable for multi-phase analysis. The recent version of this method guarantees the exact mass conservation even in the framework of semi-Lagrangian scheme. Comprehensive review is given for the strategy of the CIP method that has a compact support and sub-cell resolution including front capturing algorithm with functional transformation.
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Yabe, Takashi. "Conservative CIP Method and Application to Splashing Phenomena." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45666.

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We present a review of the CIP method [1–3] that is known as a general numerical solver for solid, liquid, gas and plasmas. This method is a kind of semi-Lagrangian scheme and has been extended to treat incompressible flow in the framework of compressible fluid. Since it uses primitive Euler representation, it is suitable for multi-phase analysis. The recent version of this method guarantees the exact mass conservation [4] even in the framework of semi-Lagrangian scheme. Comprehensive review is given for the strategy of the CIP method that has a compact support and subcell resolution including
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Liu, Dazheng, Jianping Wu, Tao Jiang, Yingjie Wang, Xiaotian Pan, and Penglun Li. "Optimization of the parallel semi-Lagrangian scheme in the YHGSM based on the adaptive maximum wind speed." In 2021 IEEE Intl Conf on Parallel & Distributed Processing with Applications, Big Data & Cloud Computing, Sustainable Computing & Communications, Social Computing & Networking (ISPA/BDCloud/SocialCom/SustainCom). IEEE, 2021. http://dx.doi.org/10.1109/ispa-bdcloud-socialcom-sustaincom52081.2021.00183.

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Zhu, Baoshan, Longbu Wang, Jie Zhai, and Shuliang Cao. "Numerical Simulation of Unsteady Flows Through a Francis Turbine Runner Using Vortex Methods." In ASME-JSME-KSME 2011 Joint Fluids Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/ajk2011-05009.

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A grid-free numerical scheme is provided for the solution of unsteady flow in the hydraulic turbines. The Lagrangian vortex method is utilized to evaluate the convection and stretch of the vorticity, and the boundary element method is used to solve the Neumann problem to define the potential flow. The no-slip boundary condition is satisfied by generating vortex sticks at the solid surface. A semi-analytical regularization technique is applied to evaluate the singular boundary surface integrals of the potential velocity and its gradients accurately. The fast multipole method (FMM) has been exte
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Kuzmina, K., I. Marchevsky, and I. Soldatova. "The High-Accuracy Numerical Scheme for the Boundary Integral Equation Solution in 2D Lagrangian Vortex Method With Semi-Analytical Vortex Elements Contribution Accounting." In Topical Problems of Fluid Mechanics 2020. Institute of Thermomechanics, AS CR, v.v.i., 2020. http://dx.doi.org/10.14311/tpfm.2020.016.

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Carlini, E., and F. J. Silva. "Semi-Lagrangian schemes for mean field game models." In 2013 IEEE 52nd Annual Conference on Decision and Control (CDC). IEEE, 2013. http://dx.doi.org/10.1109/cdc.2013.6760358.

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Großschmidt, Dirk A., Peter Habisreuther, and Henning Bockhorn. "Transported Scalar PDF Modeling of a Turbulent, Premixed Methane/Air Bunsen-Type Flame." In ASME Turbo Expo 2006: Power for Land, Sea, and Air. ASMEDC, 2006. http://dx.doi.org/10.1115/gt2006-90257.

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Gas turbine related combustion systems often operate under conditions, where the turbulent time scales of the flow field and the chemical reaction times are of the same order of magnitude. To describe this regime of moderate and small Damko¨hler numbers, pdf-methods have become an established modeling technique with a thoroughly derived mathematical basis. In this paper a hybrid pdf/FANS method is presented. It is based on the transported pdf equation closed at the joint composition level, which is implemented into a commercial 3D CFD solver. The solution algorithm features a stochastic partic
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Jung, Rho-Taek, and Toru Sato. "A Droplet Simulation on Motion Topology With Mass Transfer Using Moving Unstructured Mesh." In ASME 2002 Joint U.S.-European Fluids Engineering Division Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/fedsm2002-31144.

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A direct simulation code for a moving and dissolving droplet by using three-dimensional hybrid unstructured mesh was developed. The multi-phase flow field is discretised by a cell-centred finite volume ALE (arbitrary Lagrangian Eulerian) formulation. Based on the fractional step method, a semi-implicit scheme in time is used. Other numerical aspects of the present method are the method of Rhie and Chow (1983) for incompressibility, a third-order compact upwinding for convection term, and a second-order central difference for diffusion term. The mesh consists of tetrahedron prisms near interfac
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Zhang, Shuai, Koji Morita, Noriyuki Shirakawa, and Yuichi Yamamoto. "Next Generation Safety Analysis Methods for SFRs—(4) Development of a Computational Framework on Fluid-Solid Mixture Flow Simulations for the COMPASS Code." In 17th International Conference on Nuclear Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/icone17-75549.

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The COMPASS code is designed based on the moving particle semi-implicit (MPS) method to simulate various complex mesoscale phenomena relevant to core disruptive accidents (CDAs) of sodium-cooled fast reactors (SFRs). The MPS method, which is a fully Lagrangian method, can be extended for fluid-solid mixture flow simulations in a straightforward approach. In this study, a computational framework for fluid-solid mixture flow simulations was developed for the COMPASS code. In the present framework, the passively moving solid (PMS) model, which is originally proposed to describe the motion of a ri
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FERRETTI, R., and G. PERRONE. "ON THE STABILITY OF SEMI-LAGRANGIAN ADVECTION SCHEMES UNDER FINITE ELEMENT INTERPOLATIONS." In Selected Contributions from the 8th SIMAI Conference. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812709394_0030.

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