scholarly journals Finding Numerical Results to Large Scale Economic Models Using Path-Following Algorithms: A Vintage Capital Example

2002 ◽  
Author(s):  
Brett D. Berger
Keyword(s):  
Large Scale ◽  
Path Following ◽  
Economic Models ◽  
Numerical Results ◽  
Vintage Capital ◽  
Path Following Algorithms

The development of techno-economic models for large-scale energy storage systems

Energy ◽  
2017 ◽  
Vol 140 ◽  
pp. 656-672 ◽  
Author(s):  
Sahil Kapila ◽  
Abayomi Olufemi Oni ◽  
Amit Kumar
Keyword(s):  
Energy Storage ◽  
Large Scale ◽  
Storage Systems ◽  
Economic Models ◽  
Energy Storage Systems

scholarly journals An efficient three-term conjugate gradient-type algorithm for monotone nonlinear equations

2020 ◽  
Author(s):  
Jamilu Sabi'u ◽  
Abdullah Shah
Keyword(s):  
Global Convergence ◽  
Nonlinear Equations ◽  
Conjugate Gradient ◽  
Large Scale ◽  
Numerical Results ◽  
Search Direction ◽  
Projection Technique ◽  
Type Algorithm ◽  
Gradient Type

In this article, we proposed two Conjugate Gradient (CG) parameters using the modified Dai-{L}iao condition and the descent three-term CG search direction. Both parameters are incorporated with the projection technique for solving large-scale monotone nonlinear equations. Using the Lipschitz and monotone assumptions, the global convergence of methods has been proved. Finally, numerical results are provided to illustrate the robustness of the proposed methods.

scholarly journals A modified Perry-type derivative-free projection method for solving large-scale nonlinear monotone equations

2021 ◽  
Author(s):  
Mompati Koorapetse ◽  
P Kaelo ◽  
S Kooepile-Reikeletseng
Keyword(s):  
Global Convergence ◽  
Projection Method ◽  
Conjugate Gradient ◽  
Gradient Method ◽  
Large Scale ◽  
Numerical Results ◽  
Projection Technique ◽  
Monotone Equations ◽  
Derivative Free ◽  
Nonlinear Monotone Equations

In this paper, a new modified Perry-type derivative-free projection method for solving large-scale nonlinear monotone equations is presented. The method is developed by combining a modified Perry's conjugate gradient method with the hyperplane projection technique. Global convergence and numerical results of the proposed method are established. Preliminary numerical results show that the proposed method is promising and efficient compared to some existing methods in the literature.

Numerical Simulation upon Explosion and Collapse of Viaduct

2014 ◽  
Vol 638-640 ◽  
pp. 1085-1091
Author(s):  
Shan Ji ◽  
Guang Hui Zhang ◽  
Wei Ping Xie
Keyword(s):  
Numerical Simulation ◽  
Large Scale ◽  
Measurement Data ◽  
Soil Surface ◽  
Simulation Method ◽  
Numerical Results ◽  
Explosion Process ◽  
Vibration Responses

A rigorous scheme must be formulated in advance before a viaduct is to be exploded, in this case, numerical simulation can provide effective guarantee to the formulation of the scheme. Focusing on the explosion engineering of a large-scale city viaduct, the process of its explosion and collapse were simulated by the LS-DYNA software. The vibration responses of soil surface caused by the explosion and collapse were analyzed, and also the numerical results were compared with the measurement data. The numerical results agreed well with the measurement data, which showed that the simulation method proposed in the paper could simulate the explosion process well and the results could be also an guidline for the similar projections in future.

scholarly journals Several Guaranteed Descent Conjugate Gradient Methods for Unconstrained Optimization

2014 ◽  
Vol 2014 ◽  
pp. 1-14
Author(s):  
San-Yang Liu ◽  
Yuan-Yuan Huang
Keyword(s):  
Unconstrained Optimization ◽  
Conjugate Gradient ◽  
Large Scale ◽  
Line Search ◽  
Gradient Methods ◽  
Numerical Results ◽  
Conjugate Gradient Methods ◽  
Descent Condition ◽  
Wolfe Line Search ◽  
Large Scale Unconstrained Optimization

This paper investigates a general form of guaranteed descent conjugate gradient methods which satisfies the descent conditiongkTdk≤-1-1/4θkgk2  θk>1/4and which is strongly convergent whenever the weak Wolfe line search is fulfilled. Moreover, we present several specific guaranteed descent conjugate gradient methods and give their numerical results for large-scale unconstrained optimization.

scholarly journals Large-eddy simulation of a bi-periodic turbulent flow with effusion

2008 ◽  
Vol 598 ◽  
pp. 27-65 ◽  
Author(s):  
S. MENDEZ ◽  
F. NICOUD
Keyword(s):  
Turbulent Flow ◽  
Film Cooling ◽  
Large Scale ◽  
Cumulative Effect ◽  
Streamwise Velocity ◽  
Numerical Results ◽  
Computational Domain ◽  
Viscous Effects ◽  
Viscous Shear ◽  
Large Eddy

Large-eddy simulations of a generic turbulent flow with discrete effusion are reported. The computational domain is periodic in both streamwise and spanwise directions and contains both the injection and the suction sides. The blowing ratio is close to 1.2 while the Reynolds number in the aperture is of order 2600. The numerical results for this fully developed bi-periodic turbulent flow with effusion are compared to available experimental data from a large-scale spatially evolving isothermal configuration. It is shown that many features are shared by the two flow configurations. The main difference is related to the mean streamwise velocity profile, which is more flat for the bi-periodic situation where the cumulative effect of an infinite number of upstream jets is accounted for. The necessity of considering both sides of the plate is also established by analysing the vortical structure of the flow and some differences with the classical jet-in-crossflow case are highlighted. Finally, the numerical results are analysed in terms of wall modelling for full-coverage film cooling. For the operating point considered, it is demonstrated that the streamwise momentum flux is dominated by non-viscous effects, although the area where only the viscous shear stress contributes is very large given the small porosity value (4%).

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