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We report the developments of hydrodynamic instabilities in several well-balanced finite volume schemes that are observed during the computation of the temporal evolution of an out-balance flow which is essentially a kinematic wave. The numerical simulatio ...
In the past, the safety margin for dynamic water pressure loads in steel-lined pressure tunnels and shafts was considered as acceptable by using conventional design safety factors. Due to high peak energy demands, existing plants are operating nowadays und ...
The present invention discloses a method and its associated apparatus to retrieve the amplitude and, especially, the phase of nonlinear electromagnetic waves. The application field of the present invention is optical imaging. A sample is probed by coherent ...
We study, in the context of the full wave equation, an approximate cloaking scheme that was previously considered for the Helmholtz equation [R. V. Kohn, D. Onofrei, M. S. Vogelius, and M. I. Weinstein, Comm. Pure Appl. Math., 63 (2010), pp. 973--1016, H.- ...
Society for Industrial and Applied Mathematics2012
Recent advance in imaging modalities used frequently in clinical routine can provide description of the geometrical and hemodynamical properties of the arterial tree in great detail. The combination of such information with models of blood flow of the arte ...
In this paper, a time-domain variant of the generalized telegrapher's equations for transient electromagnetic field coupling to a finite-length wire above a lossy half-space is derived. The approach is fully based on the thin-wire antenna theory. The lossy ...
This paper presents a Lagrangian approach for the simulation of two-dimensional free-surface flows along with a systematic validation. Fluid-flow is traditionally modeled using an Eulerian description in association with finite differences and, more recent ...
Even though it oversimplifies reality, the dam-break problem for frictionless fluids provides predictions relevant to various manmade and natural dam-break floods. The exact solution can also be used to test numerical schemes. However, as far as we are awa ...
Generally applicable approaches for estimating the‘‘quasi-static’’, which means without fluid–structure interaction and frequency-dependent water-hammer wave speed in steel-lined pressure tunnels are analyzed. The external constraints and assumptions of th ...
Various types of Boussinesq model exist, including those that account for finite-depth aquifers and capillary effects. Such models are used to simulate propagation of groundwater waves (watertable fluctuations) due to, for example, tides. However, discrepa ...
