scholarly journals Numerical simulation of free surface flow using a multiphase model with higher order scheme

Author(s):  
W. C. Moon ◽  
H. T. Puay ◽  
T. L. Lau
2001 ◽  
Author(s):  
X. Ai ◽  
B. Q. Li

Abstract Turbulent magnetically flows occur in a wide range of material processing systems involving electrically conducting melts. This paper presents a parallel higher order scheme for the direct numerical simulation of turbulent magnetically driven flows in induction channels. The numerical method is based on the higher order finite difference algorithm, which enjoys the spectral accuracy while minimizing the computational intensity. This, coupled with the parallel computing strategy, provides a very useful means to simulate turbulent flows. The higher order finite difference formulation of magnetically driven flow problems is described in this paper. The details of the parallel algorithm and its implementation for the simulations on parallel machines are discussed. The accuracy and numerical performance of the higher order finite difference scheme are assessed in comparison with the spectral method. The examples of turbulent magnetically driven flows in induction channels and pressure gradient driven flows in regular channels are given, and the computed results are compared with experimental measurements wherever possible.


2005 ◽  
Author(s):  
S H Sadathosseini ◽  
◽  
S M Mousaviraad ◽  
M H Sadr ◽  
◽  
...  

APAC 2019 ◽  
2019 ◽  
pp. 619-625
Author(s):  
Xizeng Zhao ◽  
Zhijian Yang ◽  
Songchang Duan ◽  
Bijin Liu

Author(s):  
Aggelos S. Dimakopoulos ◽  
Athanassios A. Dimas

The numerical simulation of the two-dimensional free-surface flow resulting from the propagation of nonlinear gravity waves over constant-slope bottom is presented. The simulation is based on the numerical solution of the Euler equations subject to the fully nonlinear free-surface boundary conditions and the appropriate bottom, inflow and outflow conditions using a hybrid finite-differences and spectral-method scheme. Wave breaking is accounted for by a surface roller model. The formulation includes a boundary-fitted transformation and is suitable for future extension to incorporate large-eddy and large-wave simulation terms. Results are presented for the simulation of the free-surface flow over two different bottom topographies, with constant slope values of 1:10 and 1:50, and three different inflow wave heights. Over the bottom slope, waves of small wave heights are modified according to linear theory. For nonlinear waves, wavelengths are becoming shorter, the free surface elevation deviates from its initial sinusoidal shape and wave heights increase with decreasing depth. Breaking is observed for the cases with the larger initial wave height and the smaller outflow depth.


2008 ◽  
Vol 20 (4) ◽  
pp. 414-423 ◽  
Author(s):  
Lin Lu ◽  
Yu-cheng Li ◽  
Bin Teng ◽  
Bing Chen

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