Numerical analysis of the interphase forces in bubble columns using euler-euler modelling frameworkEuler-Eulermultiphase flowbubble columninterfacial forcesIn the context of modelling the gas-liquid multiphase flow in bubble columns, interface forces, such as drag, lift, and virtual mass forces, are ...
Numerical Analysis of Carbon Monoxide–Hydrogen Gas Reduction of Iron Ore in a Packed Bed by an Euler–Lagrange ApproachBlast FurnaceVoid FractionDiscrete Element MethodComputational Fluid Dynamic ModelReduction DegreeIn recent years, various methods to decrease carbon dioxide emissions from iron and steel...
The thermal conductivity of the samples was measured with the modulated hot-wire sensor (HW), which is based on a hot-wire thermal probe with alternating current excitation and 3ωlock-in detection [29]. In the 3ωHW method, the hot wire on the probe is immersed in the fluid sample. ...
(2007)03.0388.06 Eulermetho￡Isfor numerical solutionof differential ordinary equations HUJian-cheng (I)ept.of(加puting Science,CUlT,Chengdu610225,China) Abstract:BaSedonthe well-establishednumericalmethodsfor thedeteministic ordinarydifferentiale. theEuler methodis toascaIar quations applied autonomous...
Euler method contains that of EM method,and contains that of the equation itself.Then gives a numerical experiment, in which exponential Euler method is able to preserve the mean square stability of the equation while EM method can’t preserve this stability.And a sufficient condition is ...
Numerical Functional Analysis and OptimizationSPIGLER, R . -- V I A N E L L O , M . : Convergence analysis of the semi-implicit Euler method for abstract evolution equations, s u b m i t t e d .SPIGLER, R. & VIANELLO, M. 1995 Convergence analysis of the semi-implicit Euler ...
Our method of choice is Rothe's method. We use the implicit Euler scheme for the time discretization. Consequently, in each step, an elliptic equation with random right-hand side has to be solved. In practice, this cannot be performed exactly, so that efficient numerical methods are needed....
Numerical experiments are given to verify the conclusions.doi:10.1155/2012/350407Shi, ChunmeiXiao, YuZhang, ChipingAbstract and Applied AnalysisAbstract & Applied AnalysisC. Shi, Y. Xiao, and C. Zhang, The convergence and MS stability of exponential Euler method for semilinear stochastic differential...
The main result of this paper, Theorem6.4, then states that the backward Euler–Maruyama method is convergent of order at least 1/4 with respect to the norm inL^2(\varOmega ;{\mathbf {R}}^d). For the error analysis we rely on techniques for deterministic problems developed in [38]. ...
FΩ is a volumetric boundary forcing term that is used in some formulations, e.g., when adopting the immersed boundary method (IBM) to solve this transport equation (Municchi and Radl, 2017). The superscript circle in Eqs. (1) and (2) indicates point variables (i.e., they are not ...