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Relevant bibliographies by topics / Lax-Friedrichs method

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Academic literature on the topic 'Lax-Friedrichs method'

Author: Grafiati

Published: 9 March 2023

Last updated: 31 July 2025

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Journal articles on the topic "Lax-Friedrichs method"

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Shampine, L. F. "Two-step Lax–Friedrichs method." Applied Mathematics Letters 18, no. 10 (2005): 1134–36. http://dx.doi.org/10.1016/j.aml.2004.11.007.

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Yu, Simin. "A survey of numerical schemes for transportation equation." E3S Web of Conferences 308 (2021): 01020. http://dx.doi.org/10.1051/e3sconf/202130801020.

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The convection-diffusion equation is a fundamental equation that exists widely. The convection-diffusion equation consists of two processes: diffusion and convection. The convection-diffusion equation can also be called drift-diffusion equaintion. The convection – diffusion equation mainly characterizes natural phenomenon in which physical particles, energy are transferred in a system. The well-known linear transport equation is also one kind of convection-diffusion equation. The transport equation can describe the transport of a scalar field such as material feature, chemical reaction or temp

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Breuß, Michael. "The correct use of the Lax–Friedrichs method." ESAIM: Mathematical Modelling and Numerical Analysis 38, no. 3 (2004): 519–40. http://dx.doi.org/10.1051/m2an:2004027.

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Sharma, Deepika, and Kavita Goyal. "Wavelet optimized upwind conservative method for traffic flow problems." International Journal of Modern Physics C 31, no. 06 (2020): 2050086. http://dx.doi.org/10.1142/s0129183120500862.

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Numerical schemes, namely, upwind nonconservative, upwind conservative, Lax–Friedrichs, Lax–Wendroff, MacCormack and Godunov are applied and compared on traffic flow problems. The best scheme, namely, upwind conservative is used for wavelet-optimized method using Daubechies wavelet for numerically solving the same traffic flow problems. Numerical results corresponding to the traffic flow problem with the help of wavelet-optimized, adaptive grid, upwind conservative method have been given. Moreover, the run time carried out by the developed technique have been compared to that of run time carri

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КУЛИКОВ, И. М., та Д. А. КАРАВАЕВ. "ИСПОЛЬЗОВАНИЕ СХЕМЫ ЛАКСА-ФРИДРИХСА С МАЛОЙ ДИССИПАЦИЕЙ ДЛЯ МОДЕЛИРОВАНИЯ РЕЛЯТИВИСТСКИХ ТЕЧЕНИЙ ГАЗА". Сибирский журнал вычислительной математики 26, № 4 (2023): 389–400. http://dx.doi.org/10.15372/sjnm20230404.

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Схема Лакса-Фридрихса традиционно является альтернативой схеме Годунова, так как не требует решения задачи Римана. Использование в случае уравнений специальной релятивистской гидродинамики в схемах Рое, Русанова и в семействе схем Хартена-Лакса-Ван Леера естественного ограничения скорости распространения волн скоростью света приводит нас к конструкции, эквивалентной схеме Лакса-Фридрихса. Важнейшим свойством схемы является ее абсолютная робастность, компенсируемая повышенной диссипативностью. В работе мы предлагаем использовать кусочно-параболическую реконструкцию физических переменных, что по

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Chatterjee, N., and U. S. Fjordholm. "A convergent finite volume method for the Kuramoto equation and related nonlocal conservation laws." IMA Journal of Numerical Analysis 40, no. 1 (2018): 405–21. http://dx.doi.org/10.1093/imanum/dry074.

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Abstract We derive and study a Lax–Friedrichs-type finite volume method for a large class of nonlocal continuity equations in multiple dimensions. We prove that the method converges weakly to the measure-valued solution and converges strongly if the initial data is of bounded variation. Several numerical examples for the kinetic Kuramoto equation are provided, demonstrating that the method works well for both regular and singular data.

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Araujo, Isamara L. N., Panters Rodríguez-Bermúdez, and Yoisell Rodríguez-Núñez. "Numerical Study for Two-Phase Flow with Gravity in Homogeneous and Piecewise-Homogeneous Porous Media." TEMA (São Carlos) 21, no. 1 (2020): 21. http://dx.doi.org/10.5540/tema.2020.021.01.21.

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In this work we study two-phase flow with gravity either in 1-rock homogeneous media or 2-rocks composed media, this phenomenon can be modeled by a non-linear scalar conservation law with continuous flux function or discontinuous flux function, respectively. Our study is essentially from a numerical point of view, we apply the new Lagrangian-Eulerian finite difference method developed by Abreu and Pérez and the Lax-Friedrichs classic method to obtain numerical entropic solutions. Comparisons between numerical and analytical solutions show the efficiency of the methods even for discontinuous fl

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Yu, Kangning, Wenxia Xu, Jibin Yang, Shuo Li, and Guodong Li. "The Limits of Riemann Solutions for Chaplygin Gas Magnetohydrodynamics Euler Equations with Active Terms." Symmetry 17, no. 1 (2025): 77. https://doi.org/10.3390/sym17010077.

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Chaplygin gas magnetohydrodynamics Euler equations with active terms are often used to study physical phenomena in the universe, which is of great significance for exploring unknown fields. This article mainly studies the limited behavior of Riemann solutions of Chaplygin gas magnetohydrodynamics Euler equations with active terms using methods such as the characteristic line method and the Lax–Friedrichs method. In cases where only the magnetic field disappears, it was found, using the characteristic line method, that the solution converges to Chaplygin gas magnetohydrodynamics Euler equations

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Wang, Min, and Xiaohua Zhang. "A High–Order WENO Scheme Based on Different Numerical Fluxes for the Savage–Hutter Equations." Mathematics 10, no. 9 (2022): 1482. http://dx.doi.org/10.3390/math10091482.

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The study of rapid free surface granular avalanche flows has attracted much attention in recent years, which is widely modeled using the Savage–Hutter equations. The model is closely related to shallow water equations. We employ a high-order shock-capturing numerical model based on the weighted essential non-oscillatory (WENO) reconstruction method for solving Savage–Hutter equations. Three numerical fluxes, i.e., Lax–Friedrichs (LF), Harten–Lax–van Leer (HLL), and HLL contact (HLLC) numerical fluxes, are considered with the WENO finite volume method and TVD Runge–Kutta time discretization for

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Ali, Ali Hasan, Ahmed Shawki Jaber, Mustafa T. Yaseen, Mohammed Rasheed, Omer Bazighifan, and Taher A. Nofal. "A Comparison of Finite Difference and Finite Volume Methods with Numerical Simulations: Burgers Equation Model." Complexity 2022 (June 27, 2022): 1–9. http://dx.doi.org/10.1155/2022/9367638.

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In this paper, we present an intensive investigation of the finite volume method (FVM) compared to the finite difference methods (FDMs). In order to show the main difference in the way of approaching the solution, we take the Burgers equation and the Buckley–Leverett equation as examples to simulate the previously mentioned methods. On the one hand, we simulate the results of the finite difference methods using the schemes of Lax–Friedrichs and Lax–Wendroff. On the other hand, we apply Godunov’s scheme to simulate the results of the finite volume method. Moreover, we show how starting with a v

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Dissertations / Theses on the topic "Lax-Friedrichs method"

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Chen, Weitao. "Fast Sweeping Methods for Steady State Hyperbolic Conservation Problems and Numerical Applications for Shape Optimization and Computational Cell Biology." The Ohio State University, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=osu1366279632.

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ROSSI, ELENA. "Balance Laws: Non Local Mixed Systems and IBVPs." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2016. http://hdl.handle.net/10281/103090.

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Scalar hyperbolic balance laws in several space dimensions play a central role in this thesis. First, we deal with a new class of mixed parabolic-hyperbolic systems on all R^n: we obtain the basic well-posedness theorems, devise an ad hoc numerical algorithm, prove its convergence and investigate the qualitative properties of the solutions. The extension of these results to bounded domains requires a deep understanding of the initial boundary value problem (IBVP) for hyperbolic balance laws. The last part of the thesis provides rigorous estimates on the solution to this IBVP, under precise reg

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Book chapters on the topic "Lax-Friedrichs method"

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Arminjon, P., A. St-Cyr, and A. Madrane. "Non-oscillatory Lax-Friedrichs Type Central Finite Volume Methods for 3-D Flows on Unstructured Tetrahedral Grids." In Hyperbolic Problems: Theory, Numerics, Applications. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8370-2_7.

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"5. Convergence of Lax–Friedrichs Scheme, Godunov Scheme and Glimm Scheme." In Vanishing Viscosity Method. De Gruyter, 2016. http://dx.doi.org/10.1515/9783110494273-005.

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Song, Lunji. "A Fully Discrete SIPG Method for Solving Two Classes of Vortex Dominated Flows." In Vortex Dynamics Theories and Applications. IntechOpen, 2020. http://dx.doi.org/10.5772/intechopen.94316.

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To simulate incompressible Navier–Stokes equation, a temporal splitting scheme in time and high-order symmetric interior penalty Galerkin (SIPG) method in space discretization are employed, while the local Lax-Friedrichs flux is applied in the discretization of the nonlinear term. Under a constraint of the Courant–Friedrichs–Lewy (CFL) condition, two benchmark problems in 2D are simulated by the fully discrete SIPG method. One is a lid-driven cavity flow and the other is a circular cylinder flow. For the former, we compute velocity field, pressure contour and vorticity contour. In the latter,

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Baccouch, Mahboub. "Numerical Methods for the Viscid and Inviscid Burgers Equations." In Computational Fluid Dynamics - Analysis, Simulations, and Applications [Working Title]. IntechOpen, 2024. http://dx.doi.org/10.5772/intechopen.1007351.

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The Burgers equation is the simplest equation combining both nonlinear propagation effects and diffusive effects. It describes a weak shock phenomena in gas dynamics. This equation has been a center of interest for researchers studying various physical phenomena such as theory of shock waves, fluid dynamics, turbulent flow and gas dynamics. In this chapter, the viscid and inviscid Burgers equations are studied. Two important mathematical models described by the Burgers equations are presented. Then a very brief review of theoretical results for conservation laws are provided. In particular, th

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Conference papers on the topic "Lax-Friedrichs method"

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Gashi, Ilir, Stefano Maci, and Matteo Albani. "Analysis of GRIN Lens Antennas through the Lax-Friedrichs Sweeping Method." In 2024 IEEE International Symposium on Antennas and Propagation and INC/USNC‐URSI Radio Science Meeting (AP-S/INC-USNC-URSI). IEEE, 2024. http://dx.doi.org/10.1109/ap-s/inc-usnc-ursi52054.2024.10686893.

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Yulianti, Kartika, Rini Marwati, and Suci Permatahati. "A Modified Lax-Friedrichs Method for the Shallow Water Equations." In Proceedings of the 7th Mathematics, Science, and Computer Science Education International Seminar, MSCEIS 2019, 12 October 2019, Bandung, West Java, Indonesia. EAI, 2020. http://dx.doi.org/10.4108/eai.12-10-2019.2296327.

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Ye, Shijie, Yanping Guo, Jianliang Li, and Ming Lu. "Simulation Analysis for Peak Pressure of Shock Wave Based on Lax-Friedrichs Method." In 2012 Fifth International Conference on Information and Computing Science (ICIC). IEEE, 2012. http://dx.doi.org/10.1109/icic.2012.48.

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Feng, Fan, Chunwei Gu, and Xuesong Li. "Discontinuous Galerkin Solution of Three-Dimensional Reynolds-Averaged Navier-Stokes Equations With S-A Turbulence Model." In ASME Turbo Expo 2010: Power for Land, Sea, and Air. ASMEDC, 2010. http://dx.doi.org/10.1115/gt2010-23133.

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In this paper Discontinuous Galerkin Method (DGM) is applied to solve the Reynolds-averaged Navier-Stokes equations and S-A turbulence model equation in curvilinear coordinate system. Different schemes, including Lax-Friedrichs (LF) flux, Harten, Lax and van Leer (HLL) flux and Roe flux are adopted as numerical flux of inviscid terms at the element interface. The gradients of conservative variables in viscous terms are constructed by mixed formulation, which solves the gradients as auxiliary unknowns to the same order of accuracy as conservative variables. The methodology is validated by simul

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Riestiana, V. A., R. Setiyowati, and V. Y. Kurniawan. "Numerical solution of the one dimentional shallow water wave equations using finite difference method : Lax-Friedrichs scheme." In THE THIRD INTERNATIONAL CONFERENCE ON MATHEMATICS: Education, Theory and Application. AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0039545.

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