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We present a Bayesian framework for reconstruction of subsurface hydraulic properties from nonlinear dynamic flow data by imposing sparsity on the distribution of the solution coefficients in a compression transform domain.

Numerical Analysis · Computer Science 2015-05-14 Lianlin Li , Behnam Jafarpour

We focus on improving the accuracy of an approximate model of a multiscale dynamical system that uses a set of parameter-dependent terms to account for the effects of unresolved or neglected dynamics on resolved scales. We start by…

Computational Physics · Physics 2019-06-26 Balasubramanya T. Nadiga , Chiyu Jiang , Daniel Livescu

Atmosphere and ocean are coupled via air-sea interactions. The atmospheric conditions fuel the ocean circulation and its variability, but the extent to which ocean processes can affect the atmosphere at decadal time scales remains unclear.…

Atmospheric and Oceanic Physics · Physics 2021-07-08 Navid C. Constantinou , Andrew McC. Hogg

Stress is among the most commonly employed quality metrics and optimization criteria for dimension reduction projections of high dimensional data. Complex, high dimensional data is ubiquitous across many scientific disciplines, including…

Machine Learning · Computer Science 2025-11-24 Kiran Smelser , Jacob Miller , Stephen Kobourov

In this paper we proposed a two-level finite element discretization of the nonlinear stationary quasi-geostrophic equations, which model the wind driven large scale ocean circulation. Optimal error estimates for the two-level finite element…

Numerical Analysis · Mathematics 2014-06-17 Erich L Foster , Traian Iliescu , David Wells

Changes in the strength of the thermohaline overturning circulation are associated, by geostrophy, with changes in the east-west pressure difference across an ocean basin. The tropical-polar density contrast and the east-west pressure…

ao-sci · Physics 2015-06-24 Richard J. Greatbatch , K. Andrew Peterson

A~machine learning framework is developed to estimate ocean-wave conditions. By supervised training of machine learning models on many thousands of iterations of a physics-based wave model, accurate representations of significant wave…

Atmospheric and Oceanic Physics · Physics 2017-09-27 Scott C. James , Yushan Zhang , Fearghal O'Donncha

We formulate the mapping between a large class of nonlinear wave equations and flow equations for barotropic fluid with internal surface tension and capillary effects. Motivated by statistical mechanics and multi-channel physics arguments,…

Fluid Dynamics · Physics 2019-10-07 Konstantin G. Zloshchastiev

The sea surface elevations are generally stated as Gaussian processes in the literature. To show the inaccuracy of this statement, an empirical study of the buoys in the US coast at a random day is performed, which results in rejecting the…

Applications · Statistics 2022-07-05 Alicia Nieto-Reyes

The marginal ice zone is a highly dynamical region where sea ice and ocean waves interact. Large-scale sea ice models only compute domain-averaged responses. As the majority of the marginal ice zone consists of mobile ice floes surrounded…

Holm (Proc. Roy. Soc 2015) introduced a variational framework for stochastically parametrising unresolved scales of hydrodynamic motion. This variational framework preserves fundamental features of fluid dynamics, such as Kelvin's…

Fluid Dynamics · Physics 2021-03-03 Darryl D Holm , Erwin Luesink

For reasons of computational constraint, most global ocean circulation models used for Earth System Modeling still rely on parameterizations of sub-grid processes, and limitations in these parameterizations affect the modeled ocean…

Atmospheric and Oceanic Physics · Physics 2024-11-22 Fei Er Yan , Hugo Frezat , Julien Le Sommer , Julian Mak , Karl Otness

In this work we present a new conceptual model to describe fluid flow in a porous media system in presence of a large fault. Geological faults are often modeled simply as interfaces in the rock matrix, but they are complex structure where…

Numerical Analysis · Mathematics 2019-03-05 Alessio Fumagalli , Anna Scotti

Dam breach models are commonly used to predict outflow hydrographs of potentially failing dams and are key ingredients for evaluating flood risk. In this paper a new dam breach modeling framework is introduced that shall improve the…

Computation · Statistics 2018-06-14 S. J. Peter , A. Siviglia , J. Nagel , S. Marelli , R. M. Boes , D. Vetsch , B. Sudret

Physical parameterizations are used as representations of unresolved subgrid processes within weather and global climate models or coarse-scale turbulent models, whose resolutions are too coarse to resolve small-scale processes. These…

Machine Learning · Statistics 2022-10-27 Mohamed Aziz Bhouri , Pierre Gentine

The normalized stress metric measures how closely distances between vertices in a graph drawing match the graph-theoretic distances between those vertices. It is one of the most widely employed quality metrics for graph drawing, and is even…

Computational Geometry · Computer Science 2024-08-12 Reyan Ahmed , Cesim Erten , Stephen Kobourov , Jonah Lotz , Jacob Miller , Hamlet Taraz

We study the impact of three stochastic parametrizations in the ocean component of a coupled model, on forecast reliability over seasonal timescales. The relative impacts of these schemes upon the ocean mean state and ensemble spread are…

Atmospheric and Oceanic Physics · Physics 2016-05-04 M. Andrejczuk , F. C. Cooper , S. Juricke , T. N. Palmer , A. Weisheimer , L. Zanna

Parametrizations for internal gravity waves in atmospheric models are traditionally subject to a number of simplifications. Most notably, they rely on both neglecting wave propagation and advection in the horizontal direction (single-column…

Fluid Dynamics · Physics 2024-02-28 Georg S. Voelker , Gergely Bölöni , Young-Ha Kim , Günther Zängl , Ulrich Achatz

The formulation of a canonical deep-water breaking wave problem is introduced, and the results of a set of three-dimensional numerical simulations for deep-water breaking waves are presented. In this paper fully nonlinear progressive waves…

Fluid Dynamics · Physics 2014-10-08 Kyle A. Brucker , Thomas T. O'Shea , Douglas G. Dommermuth , Paul Adams

In finite-volume-based flow-simulations with free-surface waves, wave reflections at the domain boundaries can cause substantial errors in the results and must therefore be minimized. This can be achieved via `implicit relaxation zones',…

Fluid Dynamics · Physics 2021-03-09 Robinson Perić , Vuko Vukčević , Moustafa Abdel-Maksoud , Hrvoje Jasak
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