Finite-volume application of high order ENO schemes to multi-dimensional boundary-value problems

The finite volume approach in developing multi-dimensional, high-order accurate essentially non-oscillatory (ENO) schemes is considered. In particular, a two dimensional extension is proposed for the Euler equation of gas dynamics. This requires a spatial reconstruction operator that attains formal high order of accuracy in two dimensions by taking account of cross gradients. Given a set of cell averages in two spatial variables, polynomial interpolation of a two dimensional primitive function is employed in order to extract high-order pointwise values on cell interfaces. These points are appropriately chosen so that correspondingly high-order flux integrals are obtained through each interface by quadrature, at each point having calculated a flux contribution in an upwind fashion. The solution-in-the-small of Riemann's initial value problem (IVP) that is required for this pointwise flux computation is achieved using Roe's approximate Riemann solver. Issues to be considered in this two dimensional extension include the implementation of boundary conditions and application to general curvilinear coordinates. Results of numerical experiments are presented for qualitative and quantitative examination. These results contain the first successful application of ENO schemes to boundary value problems with solid walls

Before and beyond: Stabilizing Group Treatment for Complex Posttraumatic Stress Disorder related to Child abuse Based on Psycho-education and Cognitive Behavioral Therapy

Balkom, A.J.L.M. van [Promotor]Veltman, D.J. [Promotor]Draijer, N. [Copromotor

Burgers approximation for two-dimensional flow past an ellipse

A linearization of the Navier-Stokes equation due to Burgers in which vorticity is transported by the velocity field corresponding to continuous potential flow is examined. The governing equations are solved exactly for the two dimensional steady flow past an ellipse of arbitrary aspect ratio. The requirement of no slip along the surface of the ellipse results in an infinite algebraic system of linear equations for coefficients appearing in the solution. The system is truncated at a point which gives reliable results for Reynolds numbers R in the range 0 R 5. Predictions of the Burgers approximation regarding separation, drag and boundary layer behavior are investigated. In particular, Burgers linearization gives drag coefficients which are closer to observed experimental values than those obtained from Oseen's approximation. In the special case of flow past a circular cylinder, Burgers approximation predicts a boundary layer whose thickness is roughly proportional to R-1/2

Steady Incompressible Magnetohydrodynamic Flow Near a Point of Reattachment

The oblique stagnation-point flow of an electrically conducting fluid in the presence of a magnetic field is a highly nonlinear problem whose solution is of interest even in the simplest of geometries. The problem models the flow of a viscous conducting fluid near a point where a separation vortex reattaches itself to a rigid boundary. A similarity solution exists which reduces the problem to a coupled system of four ordinary differential equations which can be integrated numerically. The problem has two independent parameters, the conductivity of the fluid and the strength of the magnetic field. Solutions are tabulated for a variety of cases involving the two parameters. The geometry of the flow as well as that of the induced magnetic field is determined near the point of reattachment. © 1998 American Institute of Physics

Plant growth-form and climate controls on production and decomposition in northern peatlands

Aerts, M.A.P.A. [Promotor]Cornelissen, J.H.C. [Copromotor

Cancer Rehabilitation: Experience, Symptoms, and Needs

The aim of this study was to examine the experience of cancer patients undergoing rehabilitation, to identify symptoms associated with rehabilitation from cancer, and to assess the need for rehabilitation services for cancer patients. Cancer patients (n = 402) at the Asan Medical Center (Seoul, Korea) were enrolled from June to September 2008. A chart review was used to collect demographic and clinical data, including type of cancer, current treatment, time from initial diagnosis to screening, and cancer stage. Each participant provided informed consent and was then given a questionnaire that asked about experience with rehabilitation, symptoms associated with rehabilitation, and the need for different types of rehabilitation services. Clinicians recommended rehabilitation for 8.5% of patients, and 6.7% underwent rehabilitation. Among study patients, 83.8% had one or more symptoms associated with rehabilitation, and 71.6% of patients with symptoms wanted rehabilitation management. The need for rehabilitation was associated with the presence of metastasis, advanced cancer stage, time to diagnosis, and type of current treatment. Our results provide specific information about particular functional symptoms and the rehabilitative needs of subgroups of cancer patients. It is suggested to develope and implement rehabilitation programs for cancer patients

Необходимый комплекс промыслово-геофизических исследований скважин по контролю за разработкой на примере Осташковичского месторождения нефти

Climate change has become one of the main issues in environmental and sustainability discussions during the last decade. Acting to reduce climate change can be viewed as a prosocial behavior, and previous research has found that personal norms are important in explaining these types of behavior, together with other attitudinal factors. In this study we use Moral Foundations Theory (MFT) to explore the antecedents of personal climate change norms together with three attitudinal factors: problem awareness, social norms and adherence to the New Ecological Paradigm. Analyzing data from a nationwide survey (N = 1086) conducted in Sweden, we find that the moral foundations concerning harm and fairness are positively associated with personal climate change norms, whereas authority has a negative relation. However, the moral foundations from MFT contribute less in explaining personal climate change norms compared with the attitudinal factors included in the study. Theoretical and empirical implications are discussed.USBESDA</p

Hyperspectral chemical imaging reveals spatially varied degradation of polycarbonate urethane (PCU) biomaterials

Hyperspectral chemical imaging (HCI) is an emerging technique which combines spectroscopy with imaging. Unlike traditional point spectroscopy, which is used in the majority of polymer biomaterial degradation studies, HCI enables the acquisition of spatially localised spectra across the surface of a material in an objective manner. Here, we demonstrate that attenuated total reflectance Fourier transform infra-red (ATR-FTIR) HCI reveals spatial variation in the degradation of implantable polycarbonate urethane (PCU) biomaterials. It is also shown that HCI can detect possible defects in biomaterial formulation or specimen production; these spatially resolved images reveal regional or scattered spatial heterogeneity. Further, we demonstrate a map sampling method, which can be used in time-sensitive scenarios, allowing for the investigation of degradation across a larger component or component area. Unlike imaging, mapping does not produce a contiguous image, yet grants an insight into the spatial heterogeneity of the biomaterial across a larger area. These novel applications of HCI demonstrate its ability to assist in the detection of defective manufacturing components and lead to a deeper understanding of how a biomaterial’s chemical structure changes due to implantation. Statement of Signifance The human body is an aggressive environment for implantable devices and their biomaterial components. Polycarbonate urethane (PCU) biomaterials in particular were investigated in this study. Traditionally one or a few points on the PCU surface are analysed using ATR-FTIR spectroscopy. However the selection of acquisition points is susceptible to operator bias and critical information can be lost. This study utilises hyperspectral chemical imaging (HCI) to demonstrate that the degradation of a biomaterial varies spatially. Further, HCI revealed spatial variations of biomaterials that were not subjected to oxidative degradation leading to the possibility of HCI being used in the assessment of biomaterial formulation and/or component production