3 Methodology
The developed optimisation routine makes use of adaptive response surface regression to use a limited initial amount of FE models to feed an optimisation routine which is specifically designed for general thermal problems where parameters linked to the general heat equation can be optimised or estimated using experimental input data. The algorithm uses a pan and zoom function to move through the design space and delivers faster predictions with fewer iterations than standard updating routines [35, 41].
3.1 Adaptive response surface method
The adaptive response surface optimisation routine is used to optimise numerical models with lots of data points and the time reducing by the algorithm increases as the number of parameters rises [40]. The routine is designed to handle multiple-output time series data [35]. The optimisation procedure can be divided into the following steps:
1. Starting reference simulation points is running and a correct object function is built of the difference between the FE model and the target value (experiment or validation model).
2. The FE model is replaced by a meta-model of response surfaces to decrease the optimisation time but remains an accurate approximation.
3. The optimisation routine is run on a specific object function. It is possible to use multiple objective functions or build an objective function related to multiple outputs.
4. The estimated parameter values are used as input parameters for a new FE model that
Submission: The report from part 4 including all relevant graphs and numerical analysis along with interpretations.
The model parameters are estimated from the EP and therefore the AR can be calculated within the TP (Strong, 1992). Explicitly, the AR which
For the first five data point, the value of exponential model is close to the actual value. However, the exponential model didn’t work well for the
This assignment is written in fulfillment of the MKT/421 class at the University of Phoenix. The assignment calls for covering each of the three major phases in the simulation and to describe:
What is the goal in optimization? Find the decision variable values that result in the best objective function and satisfy all constraints.
Sheta, A. F. (2006). Estimation of the COCOMO model parameters using genetic algorithms for NASA software projects. Journal of Computer Science, 2(2),
In this paper, I will describe in fuller detail the three models discussed in the paper by Hoerling et al as
To predict the behavior of a physical system governed by a complex mathematical model depends on un- derlying model parameters. For example, predicting the contaminant transport or oil production strongly influenced by subsurface properties, such as permeability, porosity and other spatial fields. These spatial fields are highly heterogeneous and vary over a rich hierarchy of scales, which makes the forward models
Optimization on the other hand refers to the application of methods to achieve selected goals mentioned above. In some perspectives, this process could involve both gaining of methods, example learning a new skill as well as the use of relevant behavior that one is very good at and use it the best way possible.
Simulation is a computer process that gives a probable NPV or IRR for a project. All factors that affect the project’s returns are input. The computer then randomly selects one observation from each category. All of the observations are combined and the NPV or IRR is calculated from those figures. Simulation gives a range of outcomes as well as the probability of the outcomes. It provides the total risk level of a project.
The important part of the simulation assignment is what you have learned from it. As such
The objective function, decision variables and constraints are fed into solver to arrive at the optimal solution as shown in the below screenshot
The model validation is based on the observation of some quantities of interest as the pressure, the gas mass fraction, the enthalpy flow rate, the torque, etc. These outputs are computed using LSODAR \footnote{Short for Livermore Solver for Ordinary Differential equations with Automatic method switching for stiff and nonstiff problems, and with Root-finding \cite{Hindmarsh}.}, a variable time-step solver with a root-finding capability that detects the events occurring during the simulation. It also has the ability to adapt the integration method depending on the observed system stiffness.
Heat transfer processes are prominent in engineering due to several applications in industry and environment. Heat transfer is central to the performance of propulsion systems, design of conventional space and water heating systems, cooling of electronic equipment, and many manufacturing processes (Campos 3).