The third glacier inventory of North Tyrol, Austria, for 2006

A new, third, glacier inventory (GI3) is presented for North Tyrol, which is based on Airborne Laser Scanning for the year 2006. 447 glaciers covering 235 km**2 are included. 4 small, formerly neglected glaciers have been added. Basic quantities such as size, maximum, minimum and median elevation show large variances. Very recent glacier changes between the former inventory (GI2: 1998) and GI3 show a strong reduction in area (-8%) and mean thickness (-7 m). An asymmetry of mean maximum, minimum and median elevation is quantified with approximately 200 m higher values for south-exposed glaciers. Rates of changes are around 1% per year and 1 m per year between GI2 and GI3. The strongest volume losses occurred for glaciers between 5 and 10 km**2.

The PSE-3D instability analysis methodology for flows depending strongly on two and weakly on the third spatial dimension

The present contribution discusses the development of a PSE-3D instability analysis algorithm, in which a matrix forming and storing approach is followed. Alternatively to the typically used in stability calculations spectral methods, new stable high-order finitedifference-based numerical schemes for spatial discretization 1 are employed. Attention is paid to the issue of efficiency, which is critical for the success of the overall algorithm. To this end, use is made of a parallelizable sparse matrix linear algebra package which takes advantage of the sparsity offered by the finite-difference scheme and, as expected, is shown to perform substantially more efficiently than when spectral collocation methods are used. The building blocks of the algorithm have been implemented and extensively validated, focusing on classic PSE analysis of instability on the flow-plate boundary layer, temporal and spatial BiGlobal EVP solutions (the latter necessary for the initialization of the PSE-3D), as well as standard PSE in a cylindrical coordinates using the nonparallel Batchelor vortex basic flow model, such that comparisons between PSE and PSE-3D be possible; excellent agreement is shown in all aforementioned comparisons. Finally, the linear PSE-3D instability analysis is applied to a fully three-dimensional flow composed of a counter-rotating pair of nonparallel Batchelor vortices.