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Comparison Study on the Performances of Finite Volume Method and Finite Difference Method [PDF]
Journal of Applied Mathematics, 2013 Vorticity-stream function method and MAC algorithm are adopted to systemically compare the finite volume method (FVM) and finite difference method (FDM) in this paper.
Renwei Liu +4 more
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Coupling non-local rheology and volume of fluid (VOF) method: a finite volume method (FVM) implementation [PDF]
EPJ Web of Conferences, 2021 Additional to a behavior switching between solid-like and liquid-like, dense granular flows also present propagating grain size-dependent effects also called non-local effects. Such behaviors cannot be efficiently modeled by standard rheologies such as µ(
Faroux Dorian +3 more
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The finite volume method on Sierpiński Simplices [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2021 In this work, we exploit Strichartz average approach \cite{Strichartz2001} to define the Laplacian on Sierpiński gasket, in the construction of the finite volume method. The approach present sum similarities with the finite difference approach in terms of stability and convergence.
Nizare Riane, Claire David
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, 2000 Publisher Summary This chapter focuses on finite volume methods. The finite volume method is a discretization method that is well suited for the numerical simulation of various types (for instance, elliptic, parabolic, or hyperbolic) of conservation laws; it has been extensively used in several engineering fields, such as fluid mechanics, heat and ...
Eymard, Robert +2 more
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Damage Detection in Beam-like Structures Applying Finite Volume Method [PDF]
Journal of Rehabilitation in Civil Engineering, 2017 In this article, a damage location in beam like-structure is determined using static and dynamic data obtained applying the finite volume method. The modification of static and dynamic displacement due to damage is applied to establish an indicator for ...
Benyamin Mohebi +2 more
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Analysis of the Magnetohydrodynamic Behavior of the Fully Developed Flow of Conducting Fluid
Energies, 2021 Important industrial applications are based on magnetohydrodynamics (MHD), which concerns the flow of electrically conducting fluids immersed in external magnetic fields.
Wellington da Silva Fonseca +3 more
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Simulation of Mosul Dam Break Using Finite Volume Method
Polytechnic Journal, 2020 Mosul dam is an earth-fill embankment located north of Iraq on the Tigris River forming a reservoir with 11.11 km3 water storage capacity which is the largest dam in the country. The dam is built on a rock bed foundation, in which the dissolution process
Ayhan H. Saleem, Jowhar R. Mohammad
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An improved numerical method for a 2D pollution water model: Direct model
Vietnam Journal of Mechanics, 2017 In this paper a 2D pollution water model with an improved numerical method is considered. In order to reduce the approximation errors of the numerical scheme, a new approximation method is introduced to calculate the concentration flux between two cells
Nguyen Hong Phong +3 more
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Magnetohydrodynamic and Ferrohydrodynamic Fluid Flow Using the Finite Volume Method
Fluids, 2023 Many problems in fluid mechanics describe the change in the flow under the effect of electromagnetic forces. The present study explores the behaviour of an electric conducting, Newtonian fluid flow applying the magnetohydrodynamics (MHD) and ...
Grigorios Chrimatopoulos +2 more
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Adaptive stabilized finite volume method and convergence analysis for the Oseen equations
Boundary Value Problems, 2018 In this paper, based on the pressure project method, we consider an adaptive stabilized finite volume method for the Oseen equations with the lowest equal order finite element pair. Firstly, we develop the discrete forms in both finite element and finite
Junxiang Lu, Tong Zhang
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