A two dimensional unstructured staggered mesh method with special treatment of tangential velocity

A two dimensional staggered unstructured discretisation scheme for the solution of fluid flow problems has been developed. This scheme stores and solves the velocity vector resolutes normal and parallel to each cell face and other scalar variables (pressure, temperature) are stored at cell centres. The coupled momentum; continuity and energy equations are solved, using the well known pressure correction algorithm SIMPLE. The method is tested for accuracy and convergence behaviour against standard cell-centre solutions in a number of benchmark problems: The Lid-Driven Cavity, Natural Convection in a Cavity and the Melting of Gallium in a rectangular domain.

Scalable and efficient graph colouring in 3 dimensions using emergence engineering principles

This paper describes ways in which emergence engineering principles can be applied to the development of distributed applications. A distributed solution to the graph-colouring problem is used as a vehicle to illustrate some novel techniques. Each node acts autonomously to colour itself based only on its local view of its neighbourhood, and following a simple set of carefully tuned rules. Randomness breaks symmetry and thus enhances stability. The algorithm has been developed to enable self-configuration in wireless sensor networks, and to reflect real-world configurations the algorithm operates with 3 dimensional topologies (reflecting the propagation of radio waves and the placement of sensors in buildings, bridge structures etc.). The algorithm’s performance is evaluated and results presented. It is shown to be simultaneously highly stable and scalable whilst achieving low convergence times. The use of eavesdropping gives rise to low interaction complexity and high efficiency in terms of the communication overheads.

Identifying the damage mechanisms in paper using the acoustic emission monitoring technique

This paper investigates the use of the acoustic emission (AE) monitoring technique for use in identifying the damage mechanisms present in paper associated with its production process. The microscopic structure of paper consists of a random mesh of paper fibres connected by hydrogen bonds. This implies the existence of two damage mechanisms, the failure of a fibre-fibre bond and the failure of a fibre. This paper describes a hybrid mathematical model which couples the mechanics of the mass-spring model to the acoustic wave propagation model for use in generating the acoustic signal emitted by complex structures of paper fibres under strain. The derivation of the mass-spring model can be found in [1,2], with details of the acoustic wave equation found in [3,4]. The numerical implementation of the vibro-acoustic model is discussed in detail with particular emphasis on the damping present in the numerical model. The hybrid model uses an implicit solver which intrinsically introduces artificial damping to the solution. The artificial damping is shown to affect the frequency response of the mass-spring model, therefore certain restrictions on the simulation time step must be enforced so that the model produces physically accurate results. The hybrid mathematical model is used to simulate small fibre networks to provide information on the acoustic response of each damage mechanism. The simulated AEs are then analysed using a continuous wavelet transform (CWT), described in [5], which provides a two dimensional time-frequency representation of the signal. The AEs from the two damage mechanisms show different characteristics in the CWT so that it is possible to define a fibre-fibre bond failure by the criteria listed below. The dominant frequency components of the AE must be at approximately 250 kHz or 750 kHz. The strongest frequency component may be at either approximately 250 kHz or 750 kHz. The duration of the frequency component at approximately 250 kHz is longer than that of the frequency component at approximately 750 kHz. Similarly, the criteria for identifying a fibre failure are given below. The dominant frequency component of the AE must be greater than 800 kHz. The duration of the dominant frequency component must be less than 5.00E-06 seconds. The dominant frequency component must be present at the front of the AE. Essentially, the failure of a fibre-fibre bond produces a low frequency wave and the failure of a fibre produces a high frequency pulse. Using this theoretical criteria, it is now possible to train an intelligent classifier such as the Self-Organising Map (SOM) [6] using the experimental data. First certain features must be extracted from the CWTs of the AEs for use in training the SOM. For this work, each CWT is divided into 200 windows of 5E-06s in duration covering a 100 kHz frequency range. The power ratio for each windows is then calculated and used as a feature. Having extracted the features from the AEs, the SOM can now be trained, but care is required so that the both damage mechanisms are adequately represented in the training set. This is an issue with paper as the failure of the fibre-fibre bonds is the prevalent damage mechanism. Once a suitable training set is found, the SOM can be trained and its performance analysed. For the SOM described in this work, there is a good chance that it will correctly classify the experimental AEs.

Adult personality inconsistency and problems with parents: uncovering the roots of the false self

Research has established that individuals who tend to vary their personality depending on who they are with, show a variety of signs of psychological maladjustment in comparison to those who do not; they show more negative affect (Baird, Le and Lucas, 2006), lower life satisfaction (Suh, 2002), lower self-esteem (Sheldon et al., 1997), lower role-satisfaction (Donahue et al., 1993), higher rates of depression (Lutz and Ross, 2003), more anxiety (Diehl, Hastings and Stanton, 2001) and poorer physical health (Cross, Gore and Morris, 2003). It has also been shown that personality variability is positively related to the experience of inauthenticity and falsity (Sheldon et al., 1997). Donahue, Roberts, Robins and John (1993) found that personality inconsistency of this type is related to tension within the family. Psychoanalytic theory has also linked the operation of an adult false self to experiences with parents, particularly in early life (Winnicott, 1960). It was hypothesized that personality variability and the adult experience of falsity in social situations would be related to an emotionally unstable relationship with parents. The method to test this comprised a questionnaire-based survey given to a non-clinical population. The final sample comprised 305, with 193 women and 112 men, aged from 19 to 55. The first questionnaire asked participants to rate personality traits, including emotional stability, in three social contexts - with parents, with friends and with work colleagues. The second part involved 3 questions; participants were asked to select in which of the aforementioned three social contexts they felt “most themselves”; in which they were “most authentic” and in which they “put on a front”. It was found, consistent with predictions, that an index of overall personality variability calculated from the personality questionnaire correlated strongly with emotional instability around parents (r = 0.46, p<0.001), while not correlating with emotional instability in either of the other two contexts measured. This suggests a specific link between a person’s relationship with their parents and their overall personality integration. Furthermore, it was found that participants who cited one of the three social contexts (parents, friends, work colleagues) as being one in which they were “more themselves” or “more authentic” had significantly higher ratings of emotional instability with parents than those participants who found that they were equally authentic across settings (F = 9.8, p<0.005). The results suggest a clear link between a person’s relationships with their parents and their adult personality integration. An explanation is that individuals who experience an anxious or ambiguous attachment with their parents in childhood may fear rejection or abandonment in later life, and so habitually adapt their personality to fit in to social contexts as adults, in order to be accepted by others and to minimize the possibility of social rejection. These individuals meanwhile retain an emotionally unstable relationship with their parents in adulthood. This interpretation is speculative but is open to empirical testing. Clinicians should be aware that attachment problems with parents may underlie poor personality integration in adulthood.

To fit in or stand out? The interaction between mortality salience, dissent and self esteem on social projection

Social projection (SP) refers to our tendency to assume that others think the same as we do, but the effect can also be used to detect the extent to which participants want to see themselves as similar to others. Simon et al (1997) found that participants informed that they were deviant increased their SP but those told that they were conformist reduced theirs. This compensatory function supports Brewer’s optimal distinctiveness which states that a balance must be struck between competing desires to feel similar and unique. In line with terror management theory, the effect was particularly apparent under conditions of mortality salience (MS). So far SP has only been examined on measures that target personal identity so this experiment developed a measure to target social identity as well. Participants were provided with either minority or majority dissent feedback, in MS or control conditions, and their SP on items relevant to personal and social identity were recorded. Results showed that group feedback only impacted upon participants SP on social identity measures and interacted with MS and self-esteem; those with high self-esteem had higher SP scores following minority dissent under conditions of mortality salience, indicating an attempt to assert their individuality. On SP measures targeting personal identity, MS and self-esteem interacted; the death prime increased SP scores for those with low self-esteem but decreased it for those with high self-esteem. Findings are interpreted in terms of TMT and optimal distinctiveness theory and their applications.