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    + + + + +Journal of Open Source Software +JOSS + +2475-9066 + +Open Journals + + + +6079 +10.21105/joss.06079 + +The Kestrel software for +simulations of morphodynamic Earth-surface flows + + + +https://orcid.org/0000-0001-9857-7016 + +Langham +Jake + + + + +https://orcid.org/0000-0002-2198-6791 + +Woodhouse +Mark J. + + + + + +School of Mathematics, Fry Building, University of Bristol, +Bristol, BS8 1UG, UK + + + + +School of Earth Sciences, Wills Memorial Building, +University of Bristol, Bristol, BS8 1RJ, UK + + + + +15 +1 +2024 + +9 +93 +6079 + +Authors of papers retain copyright and release the +work under a Creative Commons Attribution 4.0 International License (CC +BY 4.0) +2022 +The article authors + +Authors of papers retain copyright and release the work under +a Creative Commons Attribution 4.0 International License (CC BY +4.0) + + + +Fortran +geophysics +shallow water +debris flow +morphodynamics + + + + + + Summary +

    Kestrel is a program for simulating flows + composed of a mixture of fluid and sediment. It includes the facility + to model material exchange with the topography over which the flow + propagates, by incorporating sediment entrainment and deposition. + These physical processes, which mutually couple the flow with its + underlying bed, are sometimes collectively termed ‘morphodynamics’. + Simulations may be initiated either on simple surfaces or on more + realistic terrains, via a user-specified digital elevation model + (DEM). The latter option enables computations on topographies measured + to approximate the Earth’s surface, so that real world events may be + reconstructed and potential future scenarios may be modelled. + Kestrel has been primarily developed for Earth + sciences research into natural hazards, including volcanic mudflows + (lahars), flash floods and landslides. However, it may also be useful + for modelling flows of interest to engineers, applied mathematicians, + geophysicists and industry scientists, see e.g. Capart & Young + (1998), + Cao et al. + (2004), + Iverson & Ouyang + (2015) + and Langham et al. + (2021). + The versatility of the code is a deliberate design choice. As + discussed below, many of the key physical processes are implemented in + a modular way, allowing the user to choose between different options, + depending on the problem. Furthermore, for expert users it should be + relatively straightforward to extend the code to support alternative + modelling terms that suit individual needs.

    +

    Kestrel is predominantly written in + Fortran, with some C++ + for handling geospatial data via external libraries. While expertise + in the scientific background is required to set up simulations and + correctly interpret their results, the program is otherwise intended + to be straightforward to use for a broad range of scientists. It has + relatively few dependencies (GDAL, + PROJ and optionally, + NetCDF), making it easy to build on modern + Unix-like platforms. After installation, simulations are prepared by + writing an input file specifying suitable parameter choices and run on + the command line. During the simulation, resources are allocated + dynamically, according to the inundated area at each time step, in + order to handle large-scale flows efficiently. Solution fields are + saved at regular intervals, together with spatial maps of their + maximums over the whole simulation. Output is via text file or + NetCDF (preferred). In the latter case, data is + losslessly compressed, enabling efficient checkpointing for large + simulations. Additionally, we provide an extension to the open-source + QGIS software, which imports + Kestrel solutions in NetCDF format at their + georeferenced coordinates and prepares each of the data fields for + visualisation. This provides a particularly convenient workflow for + geoscientists. An example of this output is given in + [fig:example].

    + +

    An example of Kestrel simulation + output, postprocessed and georeferenced automatically in + QGIS, using our bespoke plugin. (Labels and + colour bars have been added separately in + QGIS, for clarity.) The panels show + (left-to-right) flow depth, flow speed, solids fraction, and + topographic elevation change of a small volume flow released onto + the slopes of a steep valley. +

    + +
    +
    + + Statement of need +

    All fluid flows that propagate over the Earth’s surface transport + sediment to some degree. The presence of sediment at sufficiently high + concentrations substantially complicates the physics of these flows, + by modifying their density, rheology and their ability to entrain or + deposit further volumes of sediment + (Iverson, + 1997; + Iverson + & Ouyang, 2015). In many regions of the world, local + conditions can trigger destructive flowing fluid–sediment mixtures + that travel over distances of up to tens of kilometres + (Jakob + & Hungr, 2005; + Pierson + et al., 1990; + Scott + et al., 2005). Driven by the need to understand their + fundamental physics and ultimately to create predictive tools that can + mitigate hazards, the development of mathematical models for these + flows is an active research area and there is a corresponding need for + flexible research codes that can numerically solve these models.

    +

    There are many existing codes available for simulating these + systems. The programs most closely related to ours are the open source + codes D-CLAW + (George + & Barnhart, 2023; + George + & Iverson, 2014; + Iverson + & George, 2014), TITAN2D + (Patra + et al., 2005, + 2020; + Simakov + et al., 2019), r.avaflow + (Mergili + & Pudasaini, 2023; + Pudasaini + & Mergili, 2019), IMEX_SfloW2D + (de’Michieli + Vitturi, Costa, et al., 2023; + de’Michieli + Vitturi, Ongaro, et al., 2023; + de’Michieli + Vitturi & Lari, 2023) and the debris flow components of the + proprietary software packages RAMMS + (Christen + et al., 2010; + Meyrat + et al., 2022) and Flo-2D + (Flo-2D, + 2023). Each of these codes uses a slightly different + description of the flow physics and underlying mathematical framework. + The diversity of approaches reflects differences in the level of + detail included in physical descriptions, as well as genuine + uncertainties present in current understanding of Earth surface flow + physics. Our code implements a newly derived modelling framework and + accompanying numerical scheme detailed in Langham et al. + (2023), + which is designed to be adjusted to accommodate a wide range of flow + types by specifying particular physical closures at runtime. The model + and its implementation also resolve some important technical issues + that affect morphodynamic simulations on complex terrains. Its + essential features are briefly described below.

    +

    Like all the above software, Kestrel + numerically approximates solutions to an underlying system of partial + differential equations for the flow, whose derivation uses the fact + that the flow’s lateral extent typically greatly exceeds its + thickness, to reduce the spatial dimension by 1, thereby rendering + simulations computationally tractable at geophysical scales. + Kestrel supports simulations in either one or + two orthogonal coordinate directions, perpendicular to gravity. It + keeps track of the following observables, which depend on space and + time coordinates + + 𝐱 + and + + t: + the flow thickness + + H(𝐱,t), + in-plane velocity + + 𝐮(𝐱,t), + volumetric solids concentration + + ψ(𝐱,t), + and the bed elevation + + b(𝐱,t). + A diagram of an example flow is shown in + [fig:schematic].

    + +

    Schematic cross-section of the model setup showing the + primary variables + + H, + + + 𝐮, + + + ψ + and + + b. + Note that Kestrel solves for the component of + flow velocity perpendicular to gravity (dashed arrow). The total + velocity is determined by the assumption that it lies parallel with + the local slope. In the depicted flow, a portion of the erodible + part of the bed towards the front has been eroded (as indicated by + the dotted line), leading to an increase in the solids + concentration. +

    + +
    +

    In two spatial dimensions, the governing equations that + Kestrel solves are + + + Ht+(H𝐮)=𝒟+𝒬H, + + + t(Hψ)+(H𝐮ψ)=ψb(𝒟)+𝒬H𝒬ψ, + + + t(ρH𝐮)+(ρH𝐮𝐮)+g2cosθs(ρH2cos2θ)=ρgHsb𝒯+(νρH𝐮), + + + bt=𝒟cosθ, + where + + ρ=ψρs+(1ψ)ρf + is the flow density, + + ρs, + + + ρf, + + + ψb, + + + g + and + + ν + are user-defined modelling parameters, + + θ(𝐱,t) + is the local slope angle between the bed normal and gravity, and + + + s=𝐬(𝐬), + with + + 𝐬cos(θ)b.

    +

    While most of the terms in these equations are fixed by the + underlying depth-averaged flow physics (and shall not be discussed + further), some parts of the right-hand sides are user-settable. The + terms + + 𝒯, + + + + and + + 𝒟 + denote the basal drag, erosion rate and deposition rate respectively. + These are modelling closures, assumed to be functions of the flow + fields + + H, + + + 𝐮 + and + + ψ. + In each case, the user may choose from different options, depending on + the problem at hand. For example, the drag + + + 𝒯 + may be set either to a function appropriate for turbulent fluids, to + various models of purely granular flows, or to a combined law that + depends on the solids concentration. This provides the flexibility to + simulate many different kinds of flow. Furthermore, it is worth noting + that in many cases, the question of which closures most faithfully + capture the flow physics is an open problem that cannot easily be + addressed experimentally. Using numerical simulations to investigate + the effects of different modelling choices is one way to approach + this.

    +

    The remaining source terms + + 𝒬H + and + + 𝒬ψ + are time-dependent functions that provide one way for a modeller to + control fluxes of material input into the simulation by specifying + their form via time series data and identifying regions over which + these fluxes apply. The flux values may be informed by geophysical + measurements, expert judgement, or chosen according to some other + consideration. Simulations may also be initiated by constructing an + initial flow state which is evolved forward in time. + Kestrel accepts arbitrary initial conditions + given in the same format as its result files, or simple initial + volumes of material (such as cubes and cylinders) can be specified via + an input file.

    +

    In deriving + Eqs. 12, + some physical assumptions are made that reduce the complexity of our + model compared to some of the similar codes cited above, such as the + neglect of interstitial pressure between sediment particles and the + assumption that the sediment is composed of particles that are all + roughly the same size. Conversely, we include the effects of + morphodynamics, which not all codes support. The reasoning for these + choices is twofold: (1) to simplify the problem for modellers wishing + to conduct simulations efficiently, without compromising the most + essential flow physics and (2) in order to focus on making some + important technical advances for morphodynamic models, which are + particular to our code and detailed by Langham et al. + (2023). + These advances include improvements to standard numerical schemes, a + careful treatment of the effects of the basal geometry and a + regularisation that ensures the model is well-posed as an initial + value problem.

    +

    Even in the most straightforward cases, morphodynamic simulations + involve many free parameters, which are not all directly measurable + for real world scenarios. Proper calibration and an appreciation of + the uncertainties present at each stage of the modelling process is + essential to obtain reliable results from + Kestrel. Examples and guidance for getting + started may be found in our documentation, which includes details of + the currently available model closures and their associated + parameters. Results from Kestrel simulations + have thus far been used in the following scientific publications: + (Jenkins + et al., 2023; + Langham + et al., 2023). Kestrel also forms the + backend for the LaharFlow volcanic hazard model + (Woodhouse, + 2023).

    +
    + + Acknowledgements +

    The development of this software spanned research grants from the + the Newton Fund (NE/S00274X/1), EPSRC Impact Acceleration Account + (EP/X525674/1) and a NERC Knowledge Exchange Fellowship + (NE/R003890/1). We thank our colleagues Andrew J. Hogg, Luke T. + Jenkins and Jeremy C. Phillips, who worked on the foundational + mathematical and geological ideas that underpin the code. We also + thank users who supported the development of + Kestrel, especially Felipe Flores (SERNAGEOMIN, + Chile), Francisco Vásconez (IG-EPN, Ecuador), Selwyn Cabaluna + (PHIVOLCS, Phillipines) and other geological collaborators at + SERNAGEOMIN, IG-EPN, PHIVOLCS, INGEMMET (Perú), as well as all current + and past Kestrel users.

    +
    + + + + + + + WoodhouseM. J. + + LaharFlow: The Bristol model of lahars on evolving topography + 2023 + https://laharflow.bris.ac.uk/ + + + + + Flo-2D + 2023 + https://flo-2d.com/ + + + + + + GeorgeD. L. + BarnhartK. + + D-Claw: Software for granular-fluid flows + GitHub repository + GitHub + 2023 + https://github.com/geoflows/D-Claw + + + + + + MergiliM. + PudasainiS. P. + + R.avaflow – the mass flow simulation tool + 2023 + https://www.avaflow.org + + + + + + de’ Michieli VitturiM. + LariG. + + IMEX_SfloW2D + GitHub repository + GitHub + 2023 + https://demichie.github.io/IMEX_SfloW2D/ + + + + + + de’ Michieli VitturiM. + OngaroT. E. + EngwellS. + + IMEX_SfloW2D v2: A depth-averaged numerical flow model for volcanic gas-particle flows over complex topographies and water + Geosci. Model Dev. + Göttingen, Germany + 2023 + 2023 + 10.5194/gmd-2023-80 + 1 + 42 + + + + + + de’ Michieli VitturiM. + CostaA. + Di VitoM. A. + SandriL. + DoronzoD. 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b/joss.06079/10.21105.joss.06079.crossref.xml @@ -0,0 +1,429 @@ + + + + 20240115T130806-d79ef3fcdf268f1a1341d5ec6726ed3cb7132209 + 20240115130806 + + JOSS Admin + admin@theoj.org + + The Open Journal + + + + + Journal of Open Source Software + JOSS + 2475-9066 + + 10.21105/joss + https://joss.theoj.org + + + + + 01 + 2024 + + + 9 + + 93 + + + + The Kestrel software for simulations of morphodynamic +Earth-surface flows + + + + Jake + Langham + https://orcid.org/0000-0001-9857-7016 + + + Mark J. + Woodhouse + https://orcid.org/0000-0002-2198-6791 + + + + 01 + 15 + 2024 + + + 6079 + + + 10.21105/joss.06079 + + + http://creativecommons.org/licenses/by/4.0/ + http://creativecommons.org/licenses/by/4.0/ + http://creativecommons.org/licenses/by/4.0/ + + + + Software archive + 10.5281/zenodo.10477693 + + + GitHub review issue + https://github.com/openjournals/joss-reviews/issues/6079 + + + + 10.21105/joss.06079 + https://joss.theoj.org/papers/10.21105/joss.06079 + + + https://joss.theoj.org/papers/10.21105/joss.06079.pdf + + + + + + LaharFlow: The Bristol model of lahars on +evolving topography + Woodhouse + 2023 + Woodhouse, M. 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Geophys., 35(3), 245–296. +https://doi.org/10.1029/97RG00426 + + + Perturbation and melting of snow and ice by +the 13 November 1985 eruption of Nevado del Ruiz, Colombia, and +consequent mobilization, flow and deposition of lahars + Pierson + J. Volcanol. Geotherm. Res. + 1 + 41 + 10.1016/0377-0273(90)90082-Q + 1990 + Pierson, T. C., Janda, R. J., +Thouret, J.-C., & Borrero, C. A. (1990). Perturbation and melting of +snow and ice by the 13 November 1985 eruption of Nevado del Ruiz, +Colombia, and consequent mobilization, flow and deposition of lahars. J. +Volcanol. Geotherm. Res., 41(1), 17–66. +https://doi.org/10.1016/0377-0273(90)90082-Q + + + Catastrophic precipitation-triggered lahar at +Casita volcano, Nicaragua: Occurrence, bulking and +transformation + Scott + Earth Surf. Proc. Land. + 1 + 30 + 10.1002/esp.1127 + 2005 + Scott, K. M., Vallance, J. W., Kerle, +N., Macías, J. L., Strauch, W., & Devoli, G. (2005). Catastrophic +precipitation-triggered lahar at Casita volcano, Nicaragua: Occurrence, +bulking and transformation. Earth Surf. Proc. Land., 30(1), 59–79. +https://doi.org/10.1002/esp.1127 + + + + + + From 55ed35b28a54b1225d4055d1dc33bf5b776d8ee4 Mon Sep 17 00:00:00 2001 From: The Open Journals editorial robot <89919391+editorialbot@users.noreply.github.com> Date: Mon, 15 Jan 2024 13:08:29 +0000 Subject: [PATCH 3/5] Creating 10.21105.joss.06079.jats --- joss.06079/10.21105.joss.06079.jats | 840 ++++++++++++++++++++++++++++ 1 file changed, 840 insertions(+) create mode 100644 joss.06079/10.21105.joss.06079.jats diff --git a/joss.06079/10.21105.joss.06079.jats b/joss.06079/10.21105.joss.06079.jats new file mode 100644 index 0000000000..e04deb1f99 --- /dev/null +++ b/joss.06079/10.21105.joss.06079.jats @@ -0,0 +1,840 @@ + + +

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