Information of talks and speakers

2010/06/04 9:30am-10:10am

Speaker: Graeme Wake

Affiliation: Massey University

Title: Industrial Mathematics: On the crest of a wave

2010/06/04 10:20am-11:00am

Speaker: Donghyun You

Affiliation: Department of Mechanical Engineering, Carnegie Mellon University & Computational Science and Engineering (WCU), Yonsei University

Title: Uncertainty Quantification in Large-Eddy Simulation of Turbulent Flows

Abstract:
The present research aims at developing and deploying novel numerical methods and algorithms for uncertainty quantification (UQ) in large-eddy simulation (LES) of turbulent flows. By separating the effect of numerical errors from physics modeling, the grid-independent LES can provide a framework for improving and eventually solving many long-standing challenges present in modeling of complex turbulent flows. The present research is expected to enable us (i) to selectively avoid detrimental effects of numerical errors on the accuracy and stability of the numerical method in the turbulent flow modeling; (ii) to improve the predictive capability of the subgrid-scale turbulent flow model; and (iii) to quantify uncertainties in LES prediction of complex turbulent flow. The present grid-independent LES methodology is expected to provide a systematic means with which uncertainties in modeling of engineering turbulent flows can be accurately quantified, and to allow ``true prediction'' of turbulent flow phenomena, especially at extreme conditions and in complex configurations, where routine experiments are difficult and impractical.

2010/06/04 11:10am-11:30am

Speaker: Myungjoo Kang

Affiliation: Department of Mathematical Sciences, Seoul National University

Title: Image processing on some industrial problems
Abstract:

We apply the image processing techniques to the real world problems. We will show how it works or does not work through some examples.

2010/06/04 11:30am-11:50am

Speaker: Yong-Jung Kim

Affiliation:. Department of Mathematical Sciences KAIST

Title: Homing Guidance Loop Design and its Analysis

Abstract:

In this talk the speaker will introduce a problem related to the development of homing Guidance missile system. This talk is problem introducing one.

2010/06/04 2:00pm-2:40pm

Speaker: Bruce van Brunt

Affiliation:  Massey University

Title: The Pantograph Equation

Abstract

2010/06/04 3:00pm-3:20pm

Speaker:  Dong-Uk Hwang

Affiliation:. National Institute of Mathematical Sciences

Title: Graph & Brain

Abstract:

Recently cutting-edge technology elucidate the way to visualize physical structure of living human brains. From the macroscopic scale, brain mainly consists of complicately folded tissue, called cortex, and neuronal fiber bundle connecting from one small area to other area of cortex, or from cortex to other neuronal strucure like thalamus, midbrain, etc. Neuronal connections have been believed one of fundamental keys to understand the function and the ability of human brain. Now many neuroscientists expect that the connection structure of brain will reveal the unknown mechanism of brain. To do that, graph theoretical analysis or network based analysis is mandatory. This talk will present how graph theory is contributed to reveal mystery of human brain.

2010/06/04 3:20pm-3:40pm

Speaker: Chang-Ock Lee

Affiliation:. Department of Mathematical Sciences KAIST

Title: Least Squares Algorithms for Box-Constrained Image Deblurring

Abstract:

Image deblurring problems are often solved by finding minimizer of a suitable objective function. However, in practice, there are constraints in the minimization process. In this talk, we consider an image deblurring model and discuss several optimization methods for the box-constrained minimization problems. Furthermore, we compare the complexity of them. Among them, a new gradient based approach, ISTA, is noteworthy. However, gradient based algorithms are known to converge quite slowly. Hence we present a twostep algorithm, FISTA, which preserves the computational simplicity of ISTA but global convergence rate is significantly better.

 

2010/06/04 4:30pm-5:10pm

Speaker: Mark McGuinness

Affiliation: Victoria University of Wellington

Title: Cooking Crispy Cereals and Modelling Submarine Batteries

Abstract:

Two interesting problems and some of their outcomes, from the Mathematics in Industry Study Groups held in Australia and New Zealand each year. Moisture diffusion into whole-grain cereals, and diffusive processes in lead-acid batteries, provide a loose mathematical link between two very different problems.

2010/06/05 9:30am-10:10am

Speaker: Mark McGuinness

Affiliation: Victoria University of Wellington

Title: Exploding Rock

Authors:  Mark J. McGuinness, A.C. Fowler, B. Scheu & W.T. Lee 

Abstract:

The mathematical model presented here is motivated by recent experimental work, in which a vertical column of rock charged with high-pressure gas is suddenly depressurised, so that it explodes, in a sequence of horizontal fractures that forms from the top down. The resulting blocks are lifted off and ejected by the escaping gas. This experiment provides a framework for understanding the way in which catastrophic explosion can occur, and is motivated by the corresponding phenomenon of magmatic explosion during Vulcanian eruptions. I will summarise a theoretical model built to describe these results, and show that it is capable of describing both the primary sequence of fracturing, and the secondary intra-block fracturing.

2010/06/05 10:30am-10:50am

Speaker: Jung-Il Choi

Affiliation: Department of Mechanical and Aerospace Engineering, North Carolina State University & Department of Computational Science and Engineering, Yonsei University

Title: An Immersed Boundary Method for General Flow Applications

Abstract:

The development of an immersed-boundary method for complex flows is outlined in this talk. Immersed objects are defined as clouds of points or sets of triangle elements in CAD format (StereoLithography file) and are rendered as level sets in a computational domain. A cell-classification procedure based on a signed distance to the nearest surface is used to separate the computational domain into cells outside the immersed object (field cells), cells outside but adjacent to the immersed object (band cells), and cells within the immersed object (interior cells). Interpolation methods based on laminar / turbulent boundary layer theory are used to prescribe the flow properties within the band cells. The method utilizes a decomposition of the velocity field near embedded surfaces into normal and tangential components, with the latter handled using power-law interpolations to mimic the energizing effects of turbulent boundary layers. Applications such as human induced contaminant transport, and shock / boundary layer interaction flow control will be presented.

2010/06/05 10:50am-11:10am

Speaker: Graeme Wake

Affiliation: Massey University

Title: Fetal growth: How big should your baby be?

Abstract:
The agricultural and health industries are relatively untouched by the power of modern mathematics. Yet the problems they pose are relatively simple, with enormous advances possible. Some recent projects will be explained from the PI¡¯s own country, which like South Korea, is self-sufficient in food and has a well-developed health system.

In this talk a case study in mammalian fetal growth will be formulated and developed so as to provide underpinning decision support. The regular nutritional intake of an expectant mother clearly affects the weight development of the fetus. Assuming the growth of the fetus follows a deterministic growth law, like a logistic equation, albeit dependent on the nutritional intake, the ``best'' solution is usually determined by the birth–weight being pre-assigned, for example, as a percentage of the mother's average weight. This problem then can be specified as a control problem for the nutritional intake function. In this research proposal, this problem is formulated, first by fitting parameters to experimental data for animals (like sheep) or humans. Then by using the nutritional intake as a control, which appears in a highly nonlinear fashion, we can obtain a coupled equation for the food intake with the fetal rate equation. This gives a two (or more)-dimensional dynamical system which is a two-point boundary value problem. We give simple examples to illustrate this work which is in progress.

This work is part of a larger program in association with National Research Centre for Growth and Development in New Zealand, which is aiming to determine optimal energy intake for human mothers which will enhance the quality of post-natal life. The nutritional intake of the mother in turn affects the genetic expression (phenotype) of the fetus and this in turn affects it after birth.

2010/06/05 11:40am-12:00am

Speakers: G. Wake, M Mcguinness, B. van Brunt and J. Donaldson

Title: Activity review of 8 years in KAIST

Abstract: Go-Round-Table