An efficient finite volume method for one-dimensional problems with application to the dynamics of capillary jets

2017 ◽  
Vol 154 ◽  
pp. 132-141 ◽  
Author(s):  
J. Rivero-Rodríguez ◽  
M. Pérez-Saborid
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
One Dimensional ◽  
Capillary Jets ◽  
Volume Method

scholarly journals 1D and 2D Numerical Modeling for Solving Dam-Break Flow Problems Using Finite Volume Method

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Szu-Hsien Peng
Keyword(s):  
Shallow Water ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Shallow Water Equation ◽  
Dam Break ◽  
Flume Experiments ◽  
One Dimensional ◽  
Dam Break Flow ◽  
The One ◽  
Volume Method

The purpose of this study is to model the flow movement in an idealized dam-break configuration. One-dimensional and two-dimensional motion of a shallow flow over a rigid inclined bed is considered. The resulting shallow water equations are solved by finite volumes using the Roe and HLL schemes. At first, the one-dimensional model is considered in the development process. With conservative finite volume method, splitting is applied to manage the combination of hyperbolic term and source term of the shallow water equation and then to promote 1D to 2D. The simulations are validated by the comparison with flume experiments. Unsteady dam-break flow movement is found to be reasonably well captured by the model. The proposed concept could be further developed to the numerical calculation of non-Newtonian fluid or multilayers fluid flow.

scholarly journals KONVERGENSI NUMERIK FLUKS RUSANOV DAN HLLE PADA METODE BEDA VOLUM UNTUK MENGHAMPIRI PERSAMAAN AIR DANGKAL

2018 ◽  
Vol 7 (2) ◽  
pp. 94
Author(s):  
EKO MEIDIANTO N. R. ◽  
P. H. GUNAWAN ◽  
A. ATIQI ROHMAWATI
Keyword(s):  
Shallow Water ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Water Waves ◽  
Numerical Solutions ◽  
Shallow Water Equation ◽  
Average Error ◽  
One Dimensional ◽  
Dimensional Simulation ◽  
Volume Method

This one-dimensional simulation is performed to find the convergence of different fluxes on the water wave using shallow water equation. There are two cases where the topography is flat and not flat. The water level and grid of each simulation are made differently for each case, so that the water waves that occur can be analyzed. Many methods can be used to approximate the shallow water equation, one of the most used is the finite volume method. The finite volume method offers several numerical solutions for approximate shallow water equation, including Rusanov and HLLE. The derivation result of the numerical solution is used to approximate the shallow water equation. Differences in numerical and topographic solutions produce different waves. On flat topography, the rusanov flux has an average error of 0.06403 and HLLE flux with an average error of 0.06163. While the topography is not flat, the rusanov flux has a 1.63250 error and the HLLE flux has an error of 1.56960.

Numerical Analysis of Blast Load from Explosive Materials Using Finite Volume Method

2016 ◽  
Vol 723 ◽  
pp. 789-794 ◽  
Author(s):  
Michał Lidner ◽  
Zbigniew Szcześniak
Keyword(s):  
Shock Wave ◽  
Numerical Analysis ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Three Dimensional ◽  
One Dimensional ◽  
Good Convergence ◽  
Explosive Materials ◽  
Impulse Pressure ◽  
Volume Method

A method of numerical analysis of the phenomenon of the air shock wave propagation is presented. The paper describes an explicit own solution. It uses Finite Volume Method (FVM). It also takes into account energy losses due to a heat transfer. For validation, the results of numerical analysis were compared with the literature reports. Both one-dimensional (an explosion in the pipe) and three-dimensional (explosion within the compartment) flow of a shock wave were analysed. Values of impulse, pressure, and its duration were studied. Finally, an overall good convergence of numerical results with experiments was achieved. Also the most important parameters were well reflected.

Sign in / Sign up

Export Citation Format

Share Document