Geophysical granular flows, such as avalanches, debris flows, lahars and pyroclastic flows, are always strongly influenced by the basal topography that they flow over. In particular, localised bumps or obstacles can generate rapid changes in the flow thickness and velocity, or shock waves, which dissipate significant amounts of energy. Understanding how a granular material is affected by the un...

Introduction: The PatLoc concept has been introduced to perform imaging using non-bijective, curvilinear encoding fields [1]. Simulations have shown that a pair of mutually rotated multipolar encoding fields with cylindrical symmetry combined with a linear gradient for slice-selection have very good imaging properties especially in the outer half of the enclosed cylinder [2]. The gradients of t...

Polyhedra are an important basic structure in computational geometry. One of the most beautiful results concerning polyhedra is Cauchy’s theorem, which states that a convex polyhedron is uniquely defined by its graph, edge lengths and facial angles. (See Section 2 for definitions.) The proof of Cauchy’s theorem (see e.g. [2]) unfortunately is nonconstructive, and the only known algorithm to rec...

A parallel ocean and ice model (POIM) in generalized orthogonal curvilinear coordinates has been developed for global climate studies. The POIM couples the Parallel Ocean Program (POP) with a 12-category thickness and enthalpy distribution (TED) sea ice model. Although the POIM aims at modeling the global ocean and sea ice system, the focus of this study is on the presentation, implementation, ...

The far-field radiation originating from a finite-length pipe is well studied, especially for steady-state conditions. However, because all physical systems do not begin in steady state, these radiation characteristics are only valid after the transient portion of the solution has decayed. Understanding transient radiation characteristics may be important (particularly for systems transmitting ...

ABSTRACT Axisymmetric magnetohydrodynamic (MHD) models are useful in studies of magnetized winds and non-linear Alfvén waves solar stellar atmospheres. We demonstrate that a condition often used these for the determination nearly vertical magnetic field is applicable to radial instead. A general divergence-free curvilinear coordinates self-consistently derived obtain correct variation field. Th...

In this work, a coupled 3D thermo-elastic shell model is presented. The primary variables are the scalar sovra-temperature and displacement vector. This allows for thermal stress analysis of one-layered sandwich plates shells embedding Functionally Graded Material (FGM) layers. equilibrium equations Fourier heat conduction equation spherical put together into set four equations. They automatica...