ࡱ> [ Rbjbjΐΐ '''8_$'6P6R6R6R6R6R6R6$9!<Hv6@v66P6P64\`-GG'^L<6606Ti<-j<\\i<<$@v6v66< : Enrichment of boundary element and finite element approximations using non-polynomial functions Professor Jon Trevelyan Head of School in the School of Engineering and Computing Sciences, University of Durham, UK Jon Trevelyan obtained his PhD from the University of Bristol in 1984, studying transfer function methods for the determination of the dynamic properties of arch dams. After working as a graduate engineer for Gibb, he joined the Computational Mechanics (CM) Group to work on commercial software based on the boundary element method. He stayed with CM for twelve years, seven of which were spent as Vice-President of CM, Inc. in Massachusetts, with responsibility for the operations of the group in North America, Canada and Mexico. In 1995, he returned to the UK and was appointed a Senior Lecturer at the University of Brighton. One year later he joined Durham University. From 2007 he was the Head of the Mechanics Research & Teaching Group, until in 2013 he was appointed Head of the School of Engineering and Computing Sciences. Jon's research involves the use of the boundary element method (BEM) in various areas: enriched BEM algorithms for short wave propagation, enriched BEM algorithms for fracture mechanics, interactive stress analysis/re-analysis and topology optimisation. Abstract Boundary element approximations are classically formed using piecewise polynomial shape functions as the solution basis. However, this gives rise to difficulties for some problems. For example, in linear elastic fracture mechanics the rapidly varying stress field around the stress singularity at a crack tip requires special care. These cases can be handled in a variety of ways, but one method involves including into the approximation space some enrichment functions based on the asymptotic crack tip displacement fields. This allows excellent results to be obtained on coarse boundary element discretisations. Another example is in wave propagation models and other Helmholtz problems, in which analysis of short wavelengths in the frequency domain imposes stringent demands on the mesh density. Here, use of a partition of unity enrichment based on sets of plane waves can allow us to use multi-wavelength sized elements and achieve a large reduction in the problem size required for a prescribed accuracy. The method can be more closely integrated with CAD systems by introducing an isogeometric formulation. Finally, transient heat transfer problems often involve the development of steep temperature gradients in boundary layers. These cases are treated using a finite element approximation using exponential enrichment functions. Optimal perturbations in fluid flow Dr Mao Xuerui Lecturer in the HYPERLINK "https://www.dur.ac.uk/ecs/" School of Engineering and Computing Sciences, University of Durham, UK Dr Xuerui Mao joined the School of Engineering and Computing Sciences as alecturer in Fluid Mechanics and Turbomachinery in Sep, 2012. After receiving PhD of Computational Fluid Mechanics from Imperial College London in 2011, he spent one year as research fellow in Monash Universityand then worked half a year in LadHyX, Ecole Polytechnique. His research interests include wind energy; optimal flow control and optimal design; stability, receptivity and transition; computational acoustics. Abstract Perturbations to a fluid flow can be broadly classified as initial perturbations, boundary perturbations and external forcing, corresponding to initial conditions, boundary conditions and body-force terms of the (linearized) NS equation respectively. Algorithms to calculate the optimal (most energetic) perturbations have been well established and both modal and non-normal modes of perturbations have been extensively studies for fundamental flows. Most recently, open-loop control techniques have been developed based on the perturbation theory by redefining the optimal perturbation as the most effective control. In this talk, the numerical algorithms to calculate optimal perturbations will be presented and examples will be given in the context of both compressible flow and incompressible flow, e.g. pipe forcing that maximizes downstream acoustic noise in jet flow, active / passive boundary control that minimizes drag in flow around an aerofoil.     `wxzeeM.=jhHh=B*CJOJQJU^JaJmHnHphu/hmdh=5B*CJKHOJQJaJo(pht.h)hV,y5B*CJKHOJQJaJo(pht.h/hmdhV,y5B*CJKHOJQJaJo(pht.h/hmdhmd5B*CJKHOJQJaJo(pht.h,hmdh=5B*CJKHOJQJaJpht.hhHhC5CJOJQJaJ'hHh=5CJOJQJaJmH sH 3h#bh=5B*CJ$KHOJQJ\^JaJ$pht.h `x  " ] gdS FFXDdYDdgdS$d01$@&a$gdmd$FXD2YDda$gdV,y $XD2a$gdV,ygd= $dVa$gdHgdH$d1$@&a$gdV,y$a$gd= $dha$gd=    ! 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