scholarly journals Comparison of 1D debris flow modelling approaches using a high resolution and non-oscillatory numerical scheme based on the finite volume method

2006 ◽  
Author(s):  
C. Rodríguez ◽  
A. Blanco ◽  
R. García
Keyword(s):  
High Resolution ◽  
Debris Flow ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Numerical Scheme ◽  
Flow Modelling ◽  
Volume Method ◽  
Modelling Approaches

scholarly journals A conservative numerical scheme for Rosenau-RLW equation based on multiple integral finite volume method

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Cui Guo ◽  
Fang Li ◽  
Wenping Zhang ◽  
Yuesheng Luo
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Lagrange Interpolation ◽  
Numerical Scheme ◽  
Multiple Integral ◽  
Third Order ◽  
Unconditionally Stable ◽  
Fully Discrete ◽  
Second Order In Time ◽  
Volume Method

Abstract A multiple integral finite volume method combined and Lagrange interpolation are applied in this paper to the Rosenau-RLW (RRLW) equation. We construct a two-level implicit fully discrete scheme for the RRLW equation. The numerical scheme has the accuracy of third order in space and second order in time, respectively. The solvability and uniqueness of the numerical solution are shown. We verify that the numerical scheme keeps the original equation characteristic of energy conservation. It is proved that the numerical scheme is convergent in the order of $O(\tau ^{2} + h^{3})$ O ( τ 2 + h 3 ) and unconditionally stable. A numerical experiment is given to demonstrate the validity and accuracy of scheme.

Analysis of Aluminum Extrusion in a 90o Die by Finite Volume Method

2016 ◽  
Vol 1135 ◽  
pp. 153-160 ◽  
Author(s):  
Marcelo Matos Martins ◽  
Sérgio Tonini Button ◽  
José Divo Bressan
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Numerical Scheme ◽  
Dead Zone ◽  
Simple Method ◽  
Direct Extrusion ◽  
Pressure Distributions ◽  
First Choice ◽  
Volume Method ◽  
Metal Extrusion

Nowadays, the finite element method is still the first choice of researchers in metal extrusion analysis. However, recent published papers have also supported that metal plastic flow can be modelled by the flow formulation, employing the finite volume method. In this work, the numerical scheme presented by Martins et al. [16] based on finite volume method together with the explicit MacCormack numerical method, was used to analyse aluminum axisymmetric direct extrusion in a 90° die. A structured, fixed and collocated mesh and numerical convergence based on the SIMPLE method were employed to attain pressure-velocity coupling. The main goal of present numerical scheme was to obtain the axial and radial velocities and pressure distributions. From these results, it was possible to obtain and identify the dead zone inside the billet deformation region in direct extrusion of aluminum in a 90° die. The field variables results shown in present work had good agreement when compared with those from literature.

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