Results 11 to 20 of about 1,990,418 (296)
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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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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A cellular automaton finite volume method for microstructure evolution during additive manufacturing
Materials & Design (1980-2015), 2019 Additive manufacturing (AM) processes produce unique microstructures compared with other manufacturing processes because of the large thermal gradient, high solidification rate and other local temperature variations caused by the repeated heating and ...
Yanping Lian +5 more
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Numerical Simulation of Ice Melting Using the Finite Volume Method
Journal of Engineering, 2023 The Aim of this paper is to investigate numerically the simulation of ice melting in one and two dimension using the cell-centered finite volume method. The mathematical model is based on the heat conduction equation associated with a fixed grid, latent
Mishaal Abdulameer Abdulkareem
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A low-dissipation finite-volume method based on a new TENO shock-capturing scheme
Computer Physics Communications, 2019 In Fu et al. (2016), a family of high-order TENO shock-capturing schemes has been proposed for compressible fluid simulations within a finite-difference framework.
Lin Fu (Associate Professor)
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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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Coupled Finite Volume and Finite Element Method Analysis of a Complex Large-Span Roof Structure
International Journal of Applied Mechanics and Engineering, 2017 The main goal of this paper is to present coupled Computational Fluid Dynamics and structural analysis for the precise determination of wind impact on internal forces and deformations of structural elements of a longspan roof structure. The Finite Volume
J. Szafran, K. Juszczyk, M. Kamiński
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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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Journal of Computational Physics, 2019 We develop a finite volume method based on Crank-Nicolson time discretization for the two-dimensional nonsymmetric Riemann-Liouville space-fractional diffusion equation. Stability and convergence are then carefully discussed.
Hongfei Fu, Huan Liu, Hong Wang
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