Preprints

Filtering by Subject: Other Applied Mathematics

An Adaptive Discontinuous Galerkin Method for the Simulation of Hurricane Storm Surge

Nicole Beisiegel, Stefan Vater, Jörn Behrens, Frederic Dias

Published: 2019-09-09
Subjects: Applied Mathematics, Other Applied Mathematics, Physical Sciences and Mathematics

Numerical simulations based on solving the 2D shallow water equations using a Discontinuous Galerkin (DG) discretisation have evolved to be a viable tool for many geophysical applications. In the context of flood modelling, however, they have not yet been methodologically studied to a large extent. On geographic scale, hurricane storm surge can be interpreted as a localised phenomenon making it [...]

HYRISK: An R package for hybrid uncertainty analysis using probability, imprecise probability and possibility distributions

Jeremy Rohmer, manceau , Guyonnet , Boulahya , Dubois

Published: 2018-08-31
Subjects: Applied Mathematics, Engineering, Ordinary Differential Equations and Applied Dynamics, Other Applied Mathematics, Physical Sciences and Mathematics, Risk Analysis

Uncertainty analysis is an unavoidable risk assessment task (for instance for natural hazards, or for environmental issues). In situations where data are scarce, incomplete or imprecise, the systematic and only use of probabilities can be debatable. Over the last years, several alternative mathematical representation methods have been developed to handle in a more flexible manner the lack of [...]

Using flood-excess volume to show that upscaling beaver dams for protection against extreme floods proves unrealistic

Onno Bokhove, Mark Kelmanson, Tom Kent

Published: 2018-07-10
Subjects: Applied Mathematics, Earth Sciences, Hydrology, Other Applied Mathematics, Physical Sciences and Mathematics

The questions we address in the present article are the following: (i) whether (extreme) river floods can be prevented or seriously mitigated by the introduction of beavers in the wild, and (ii) for which river catchments does flood mitigation by beaver activity (not) work? By using the concept of flood-excess volume (FEV) for four rivers in the UK, in the context of five (extreme) UK flood [...]

On using flood-excess volume to assess natural flood management, exemplified for extreme 2007 and 2015 floods in Yorkshire

Onno Bokhove, Mark Kelmanson, Tom Kent

Published: 2018-07-10
Subjects: Applied Mathematics, Earth Sciences, Hydrology, Other Applied Mathematics, Physical Sciences and Mathematics

This paper offers a protocol for conducting a quantified assessment of the relative merits of both existing and proposed methods of Natural Flood Management (NFM). Assessment is based on the rarely used concept of flood-excess volume (FEV), which approximately quantifies the volume of water one wishes to eliminate via flood-mitigation schemes, and is exemplified using publicly available [...]

On using flood-excess volume in flood mitigation, exemplified for the River Aire Boxing Day Flood of 2015

Onno Bokhove, Mark Kelmanson, Tom Kent

Published: 2018-07-10
Subjects: Applied Mathematics, Earth Sciences, Hydrology, Other Applied Mathematics, Physical Sciences and Mathematics

The goals of this paper are threefold, namely to: (i) define the rarely used concept of flood-excess volume (FEV) as the flood volume above a chosen river-level threshold of flooding; (ii) show how to estimate FEV for the Boxing Day Flood of 2015 of the River Aire in the UK; and, (iii) analyse the use of FEV in evaluating a hypothetical flood-alleviation scheme (FASII+) for the River [...]

Introduction to Interferometry of Fiber Optic Strain Measurements

Eileen R Martin, Nathaniel Lindsey, Jonathan Ajo-Franklin, Biondo Biondi

Published: 2018-06-14
Subjects: Applied Mathematics, Earth Sciences, Geophysics and Seismology, Other Applied Mathematics, Physical Sciences and Mathematics

Distributed acoustic sensing (DAS) measures the average axial strain (strain rate) along a subset of a fiber optic cable, as opposed to the particle displacement (velocity) at a particular small point sensor. In shifting from measuring a vector field to a tensor field, DAS changes the directional sensitivity of measurements of every type of seismic wave when compared to single component [...]

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