KnowTech3D Workshop

Date: Wed, Nov 27 2013

Hour: 10:00

Speakers: Carmen Arévalo, Ertan Karaismail, M. Hakki Eres

As part of the KNOWTECH3D Project - Knowledge Transfer of Numerical Analysis and 3D Simulation Technologies Applied on Engineering Research Programmes Meeting at BCAM-Basque Center for Applied Mathematics, Bilbao, Basque Country, Spain

The main aims of the project are:

* to contribute with effective and attractive outcomes for the European Transfer of Innovation Network  
* understanding of the role of computers and numerical analysis in modern engineering practice
* sharing between beneficiaries of new knowledge and techniques
* to present the modern approach to dealing with complex problems whose solutions require mathematical and scientific skills
* to raise awareness of numerical analysis and simulation techniques as a key element of engineering applications by creating an innovative methodology supported by ''e-learning''
* to transfer,modify and extend the innovative output from the recently completed MAIATZ SIMULFORM project

The project manage by a strong cooperation involving;
- Faculty of Engineering, Hitit University 
- Faculty of Engineering, Pamukkale University 
- Anova Engineering and Computer Inc.
- Hitit Industrialists and Businessmen's Association
- BCAM-Basque Center for Applied Mathematics
- University of Southampton 
- Lund University 
- Miguel Altuna Institutua

More info: KnowTech3D Project


10:00 - 11:00 Carmen Arévalo, Centre for Mathematical Science, Lund University (Sweden)

Differential-algebraic equations in simulations

Differential-algebraic equations (DAE) model a variety of dynamical processes, but their numerical solution pose difficulties not present in ordinary differential equations. The index of a DAE measures the degree of difficulty encountered in its numerical solution. There are several methods that can be used to solve systems of DAEs, but the choice of method should be done carefully, taking into account the particularities of each DAE.

11:00-12:00 Ertan KARAIMASMAIL, Anova Project and Consulting Company (Turkey)

Estimation of Numerical Uncertainty in CFD due to Discretization

Along with the exponential increase in applications of CFD, the interest in formulating some kind of quality control on the CFD calculations has increased. This led to development of various verification methods for CFD calculations to assess the accuracy of the codes and to quantify the errors especially due to discretization. This lecture will give an overview on the popular verification procedures at both code and solution levels. Specifically, for the code verification, a technique based on the Manufactured Solution method will be introduced. For the solution verification (i.e. assessment of numerical uncertainty due to discretization) the Grid Convergence Index (an extension of Richardson Extrapolation) method as well as the Approximate Error Scaling method will be explained with examples from literature. Tips on reducing other errors such as round-off errors, iteration errors, etc. will be provided too.

11:00 -12:00 M. Hakkı ERES, Anova Project and Consulting Company,Turkey, Computational Engineering and Design Research Group, University of Southampton,UK

Coating Flows - Mathematical Modelling and Numerical Solutions

The flow of a viscous liquid thin film may arise in many industrial applications, as well as various natural phenomena. The most widespread industrial application is probably the coating of solid substrates with a paint film. The coating applications vary from decorative house paints to protective coatings of pharmaceuticals. Examples of thin-film flow from the natural world are the flow of a raindrop on a window pane, the flow of mucus on the alveoli of the lung, and the formation of wine tears on the inside of a wine glass. These examples are classified as coating flows.The thinness and slowness of such coating flows allow us to use the lubrication approximation, and simplify the governing partial differential equations. A model problem, the flow of a liquid on an inclined, impermeable substrate under the effect of gravity and surface tension, will be presented. The derivation of the mathematical model for this problem is considered in detail. First the lubrication approximation is derived, then the resulting nonlinear evolution equation is nondimensionalized. The relevant aspects of the discretization and the numerical solution technique will be presented.

Specific mathematical models and numerical results of the following problems will be discussed:

- The effects of surface tension gradients on the levelling behaviour of an evaporating multi-component fluid.

- Stability and finger formation in two different problems. The first problem is the downhill drainage under the influence of gravity, and the second problem is the surface-shear-stress-driven climbing film.

- The gravitational instabilities of thin liquid films.




Centre for Mathematical Science - Lund University (Sweden), Anova Project and Consulting Company (Turkey), Computational Engineering and Design Research Group - University of Southampton (UK)

Confirmed speakers:

Carmen Arévalo, Ertan Karaismail, M. Hakki Eres