Application of the Lighthill-Ford theory of spontaneous imbalance to clear-air turbulence forecasting

A new method of clear-air turbulence (CAT) forecasting based on the Lighthill–Ford theory of spontaneous imbalance and emission of inertia–gravity waves has been derived and applied on episodic and seasonal time scales. A scale analysis of this shallow-water theory for midlatitude synoptic-scale flows identifies advection of relative vorticity as the leading-order source term. Examination of leading- and second-order terms elucidates previous, more empirically inspired CAT forecast diagnostics. Application of the Lighthill–Ford theory to the Upper Mississippi and Ohio Valleys CAT outbreak of 9 March 2006 results in good agreement with pilot reports of turbulence. Application of Lighthill–Ford theory to CAT forecasting for the 3 November 2005–26 March 2006 period using 1-h forecasts of the Rapid Update Cycle (RUC) 2 1500 UTC model run leads to superior forecasts compared to the current operational version of the Graphical Turbulence Guidance (GTG1) algorithm, the most skillful operational CAT forecasting method in existence. The results suggest that major improvements in CAT forecasting could result if the methods presented herein become operational.

Structural design of an escort type rehabilitation robot for post-stroke therapies of upper-limb

This paper describes a structural design technique for rehabilitation robot intended for upper-limb post-stroke therapy. First, a novel approach to a rehabilitation robot is proposed and the features of the robot are explained. Second, the direct kinematics and the inverse kinematics of the proposed robot structure are derived. Finally, a mechanical design procedure is explained that achieves a compromise between the required motion range and assuring the workspace safety. The suitability of a portable escort type structure for upper limb rehabilitation of both acute and chronic stroke is discussed

Comments on 'Balance and the slow quasimanifold: some explicit results'

The concept of slow vortical dynamics and its role in theoretical understanding is central to geophysical fluid dynamics. It leads, for example, to “potential vorticity thinking” (Hoskins et al. 1985). Mathematically, one imagines an invariant manifold within the phase space of solutions, called the slow manifold (Leith 1980; Lorenz 1980), to which the dynamics are constrained. Whether this slow manifold truly exists has been a major subject of inquiry over the past 20 years. It has become clear that an exact slow manifold is an exceptional case, restricted to steady or perhaps temporally periodic flows (Warn 1997). Thus the concept of a “fuzzy slow manifold” (Warn and Ménard 1986) has been suggested. The idea is that nearly slow dynamics will occur in a stochastic layer about the putative slow manifold. The natural question then is, how thick is this layer? In a recent paper, Ford et al. (2000) argue that Lighthill emission—the spontaneous emission of freely propagating acoustic waves by unsteady vortical flows—is applicable to the problem of balance, with the Mach number Ma replaced by the Froude number F, and that it is a fundamental mechanism for this fuzziness. They consider the rotating shallow-water equations and find emission of inertia–gravity waves at O(F2). This is rather surprising at first sight, because several studies of balanced dynamics with the rotating shallow-water equations have gone beyond second order in F, and found only an exponentially small unbalanced component (Warn and Ménard 1986; Lorenz and Krishnamurthy 1987; Bokhove and Shepherd 1996; Wirosoetisno and Shepherd 2000). We have no technical objection to the analysis of Ford et al. (2000), but wish to point out that it depends crucially on R 1, where R is the Rossby number. This condition requires the ratio of the characteristic length scale of the flow L to the Rossby deformation radius LR to go to zero in the limit F → 0. This is the low Froude number scaling of Charney (1963), which, while originally designed for the Tropics, has been argued to be also relevant to mesoscale dynamics (Riley et al. 1981). If L/LR is fixed, however, then F → 0 implies R → 0, which is the standard quasigeostrophic scaling of Charney (1948; see, e.g., Pedlosky 1987). In this limit there is reason to expect the fuzziness of the slow manifold to be “exponentially thin,” and balance to be much more accurate than is consistent with (algebraic) Lighthill emission.

Friendly amendment: a commentary on Doyle and Ford's proposed re-definition of 'mental model'

Some amendments are proposed to a recent redefinition of the mental model concept in system dynamics. First, externalised, or articulated mental models should not be called cognitive maps; this term has a well established, alternative meaning. Second, there can be mental models of entities not yet existing beyond an individual's mind; the modelling of planned or desired systems is possible and recommended. Third, saying that mental models maintain social systems connects with some exciting research opportunities for system dynamics; however, it is probably an accidental distraction from the intended meaning of the redefinition. These minor criticisms apart, the new definition of mental model of a dynamic system is welcomed as a useful contribution to both research and practice.

The United States in Southern Africa: Chester Crocker's linkage strategy 1981-1988

Chester Crocker was appointed as Reagan's Assistant Secretary of State for African Affairs in 1981. He had criticised the inconsistencies of US African policy and proposed a renewed emphasis on the balance between America's global interests with specific regional priorities. While the focus of Congressmen, journalists and public opinion centred on the issue of apartheid, it was the Namibian War of Independence (South African Border War) that initially drew the attention of the Reagan administration, and it was the resolution of this war that remained the priority for the US government in this region throughout Crocker's time in office.

The politics of fiscal policy during economic downturns, 1981-2010

This article investigates fiscal policy responses to the Great Recession in historical perspective. We explore general trends in the frequency, size and composition of fiscal stimulus as well as the impact of government partisanship on fiscal policy outputs during the four international recessions of 1980-81, 1990-91, 2001-02 and 2008-09. Encompassing 17-23 OECD countries, our analysis calls into question the idea of a general retreat from fiscal policy activism since the early 1980s. The propensity of governments to respond to economic downturns by engaging in fiscal stimulus has increased over time and we do not observe any secular trend in the size of stimulus measures. At the same time, OECD governments have relied more on tax cuts to stimulate demand in the two recessions of the 2000s than they did in the early 1980s or early 1990s. Regarding government partisanship, we do not find any significant direct partisan effects on either the size or the composition of fiscal stimulus for any of the four recession episodes. However, the size of the welfare state conditioned the impact of government partisanship in the two recessions of the 2000s, with Left-leaning governments distinctly more prone to engage in discretionary fiscal stimulus and/or spending increases in large welfare states, but not in small welfare states.

Gál-type GCD sums beyond the critical line

We prove that ∑k,ℓ=1N(nk,nℓ)2α(nknℓ)α≪N2−2α(logN)b(α) holds for arbitrary integers 1≤n1<⋯