Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems II: Strongly monotone quasi-Newtonian flows

In this article, we develop the a priori and a posteriori error analysis of hp-version interior penalty discontinuous Galerkin finite element methods for strongly monotone quasi-Newtonian fluid flows in a bounded Lipschitz domain Ω ⊂ ℝd, d = 2, 3. In the latter case, computable upper and lower bounds on the error are derived in terms of a natural energy norm, which are explicit in the local mesh size and local polynomial degree of the approximating finite element method. A series of numerical experiments illustrate the performance of the proposed a posteriori error indicators within an automatic hp-adaptive refinement algorithm.

Metabolic status and oestrous cycle in dairy cows

A study with 40 multiparous high yielding dairy cows was conducted to investigate the influence of an induced negative energy balance (NEB) on reproductive performance. Energy restriction of 49% was performed for 3 weeks beginning on oestrous cycle day 12 of first oestrous cycle after day 85 post partum (pp). From day 20 to day 150 pp animals were monitored for ovary activity three times weekly using rectal palpation and transrectal ultrasound scanning and were inseminated around day 150 pp. Additionally, milk progesterone and milk hydrocortisone were analyzed twice a week. Body condition score and body weight as well as blood glucose, plasma nonesterified fatty acids and plasma β-hydroxybutyrate were recorded weekly. According to oestrous cycle activity before (Period 1 = natural energy deficiency), during (Period 2) and after (Period 3) induced energy restriction animals were assigned to the following groups: Delayed first ovulation until day 45 pp, normal oestrous cycle, prolonged oestrous cycle and shortened oestrous cycle. Sporadic significances, but no clear effect of the metabolic state on reproductive performance could be found during Periods 1 and 2. Service success and conception rate were also not influenced. Our results demonstrate a remarkable adaptation of reproductive activity to metabolic challenges. Animals were able to compensate natural NEB in Period 1 as well as induced NEB (Period 2) for preventing metabolic disorders and maintaining reproductive activity. Therefore dietary energy availability had no effect on reproductive performance at more than 85 days in milk in the present study. To understand reproductive failures in dairy cows focus should be laid on genetic disposition of high yielding individuals that cope successful with metabolic challenges.

Modeling of temperature and turbidity in a natural lake and a reservoir connected by pumped-storage operations

Pumped-storage (PS) systems are used to store electric energy as potential energy for release during peak demand. We investigate the impacts of a planned 1000 MW PS scheme connecting Lago Bianco with Lago di Poschiavo (Switzerland) on temperature and particle mass concentration in both basins. The upper (turbid) basin is a reservoir receiving large amounts of fine particles from the partially glaciated watershed, while the lower basin is a much clearer natural lake. Stratification, temperature and particle concentrations in the two basins were simulated with and without PS for four different hydrological conditions and 27 years of meteorological forcing using the software CE-QUAL-W2. The simulations showed that the PS operations lead to an increase in temperature in both basins during most of the year. The increase is most pronounced (up to 4°C) in the upper hypolimnion of the natural lake toward the end of summer stratification and is partially due to frictional losses in the penstocks, pumps and turbines. The remainder of the warming is from intense coupling to the atmosphere while water resides in the shallower upper reservoir. These impacts are most pronounced during warm and dry years, when the upper reservoir is strongly heated and the effects are least concealed by floods. The exchange of water between the two basins relocates particles from the upper reservoir to the lower lake, where they accumulate during summer in the upper hypolimnion (10 to 20 mg L−1) but also to some extent decrease light availability in the trophic surface layer.

Energy Export Restrictions in the WTO Between Resources Nationalism and Sustainable Development

This chapter aims at contributing to the trade and energy debate by focusing on the specific issue of export restrictions. It starts from the premise that a balanced and efficient regulation of export barriers in the energy sector would contribute to tackle emerging energy concerns such as energy security and the elimination of fossil fuel subsidies in light of the challenge of climate change mitigation. It assesses the adequacy of existing WTO rules on export restric­tions and accordingly identifies the main gaps and inconsistencies inherent in the current disciplines from an energy-specific perspective. Finally, it discusses the merits of an energy-specific approach to advance existing disciplines in the most deficient area of export duties based on the systematisation of the Russian ‘model’. Such approach could raise the overall level of commitments in the energy sector while still allowing for the systemic applicability of GATT environmental exceptions in a manner consistent with the principle of sus­tainable development recognised in the Preamble of the WTO Agreement.

On the initiation of boudinage and folding instabilities in layered elasto-visco-plastic solids - Insights from natural microstructures and numerical simulations

The present understanding of the initiation of boudinage and folding structures is based on viscosity contrasts and stress exponents, considering an intrinsically unstable state of the layer. The criterion of localization is believed to be prescribed by geometry-material interactions, which are often encountered in natural structures. An alternative localization phenomenon has been established for ductile materials, in which instability emerges for critical material parameters and loading rates from homogeneous conditions. In this thesis, conditions are sought under which this type of instability prevails and whether localization in geological materials necessarily requires a trigger by geometric imperfections. The relevance of critical deformation conditions, material parameters and the spatial configuration of instabilities are discussed in a geological context. In order to analyze boudinage geometries, a numerical eigenmode analysis is introduced. This method allows determining natural frequencies and wavelengths of a structure and inducing perturbations on these frequencies. In the subsequent coupled thermo-mechanical simulations, using a grain size evolution and end-member flow laws, localization emerges when material softening through grain size sensitive viscous creep sets in. Pinch-and-swell structures evolve along slip lines through a positive feedback between the matrix response and material bifurcations inside the layer, independent from the mesh-discretization length scale. Since boudinage and folding are considered to express the same general instability, both structures should arise independently of the sign of the loading conditions and for identical material parameters. To this end, the link between material to energy instabilities is approached by means of bifurcation analyses of the field equations and finite element simulations of the coupled system of equations. Boudinage and folding structures develop at the same critical energy threshold, where dissipative work by temperature-sensitive creep overcomes the diffusive capacity of the layer. This finding provides basis for a unified theory for strain localization in layered ductile materials. The numerical simulations are compared to natural pinch-and-swell microstructures, tracing the adaption of grain sizes, textures and creep mechanisms in calcite veins. The switch from dislocation to diffusion creep relates to strain-rate weakening, which is induced by dissipated heat from grain size reduction, and marks the onset of continuous necking. The time-dependent sequence uncovers multiple steady states at different time intervals. Microstructurally and mechanically stable conditions are finally expressed in the pinch-and-swell end members. The major outcome of this study is that boudinage and folding can be described as the same coupled energy-mechanical bifurcation, or as one critical energy attractor. This finding allows the derivation of critical deformation conditions and fundamental material parameters directly from localized structures in the field.