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We examine how coupling functions in the theory of dynamical systems provide a quantitative window into climate dynamics. Previously we have shown that a one-dimensional periodic non-autonomous stochastic dynamical system can simulate the…

Atmospheric and Oceanic Physics · Physics 2019-11-12 Woosok Moon , John S. Wettlaufer

We present a modified water-vegetation model to investigate the mechanistic relationship between infiltration-soil moisture feedback and vegetation pattern in arid/semi-arid ecosystems. Employing Turing pattern formation theory, we drive…

Dynamical Systems · Mathematics 2025-08-05 Juan Yan , Xiaoli Wang , Guohong Zhang , Yuan Yuan

In this work, we consider fluid-structure interaction simulation with nonlinear hyperelastic models in the solid part. We use a partitioned approach to deal with the coupled nonlinear fluid-structure interaction problems. We focus on…

Numerical Analysis · Mathematics 2013-12-20 Ulrich Langer , Huidong Yang

Impact simulations for damage resistance analysis are computationally intensive due to contact algorithms and advanced damage models. Both methods, which are the main ingredients in an impact event, require refined meshes at the contact…

Computational Engineering, Finance, and Science · Computer Science 2023-01-18 G. Guillamet , A. Quintanas-Corominas , M. Rivero , G. Houzeuax , M. Vázquez , A. Turon

The building of mathematical and computer models of cities has a long history. The core elements are models of flows (spatial interaction) and the dynamics of structural evolution. In this article, we develop a stochastic model of urban…

Methodology · Statistics 2018-05-10 L. Ellam , M. Girolami , G. A. Pavliotis , A. Wilson

In the present study, applications of the SPH method to industrial related issues are considered by starting from an existing open source 2D SPH code, namely the SPHYSICS code, which offers an effective ground for numerical developments,…

Fluid Dynamics · Physics 2010-02-18 David Cebron , Jean-François Sigrist

This paper presents a general and robust method for the fluid-structure interaction of membranes and shells undergoing large displacement and large added-mass effects by coupling an immersed-boundary method with a shell finite-element…

Fluid Dynamics · Physics 2023-08-15 Marin Lauber , Gabriel D. Weymouth , Georges Limbert

Synergetic use of sensors for soil moisture retrieval is attracting considerable interest due to the different advantages of different sensors. Active, passive, and optic data integration could be a comprehensive solution for exploiting the…

Image and Video Processing · Electrical Eng. & Systems 2022-11-30 Reza Attarzadeh , Hossein Bagheri , Iman Khosravi , Saeid Niazmardi , Davood Akbarid

In response to climate change, assessing crop productivity under extreme weather conditions is essential to enhance food security. Crop simulation models, which align with physical processes, offer explainability but often perform poorly.…

Machine Learning · Computer Science 2025-01-03 Miro Miranda , Marcela Charfuelan , Andreas Dengel

This article discusses the magnetic connectivity between the Sun and the Earth, which is essential for understanding solar wind and space weather events. Due to limited direct observations, reliable simulations are necessary. The most…

Solar and Stellar Astrophysics · Physics 2024-11-20 Silke Kennis , Barbara Perri , Stefaan Poedts

A possibility to use an integral operator for establishing the link between physical and structural levels of materials in modeling diffusion processes is considered. We show how to perform the transition from the stochastic description of…

Materials Science · Physics 2007-05-23 A. L. Svistkov , A. V. Ilinykh

Fluid flow in rough fractures and the coupling with the mechanical behaviour of the fractures pose great difficulties for numerical modeling approaches, due to complex fracture surface topographies, the non-linearity of hydromechanical…

Computational Physics · Physics 2020-03-17 Cyrill von Planta , Daniel Vogler , Xiaoqing Chen , Maria G. C. Nestola , Martin O. Saar , Rolf Krause

One of the key choices for numerical models of geophysical fluids is how parametrisations of physical processes interact with the numerical methods that handle the resolved flow, known in the atmospheric community as the dynamical core. As…

Numerical Analysis · Mathematics 2026-05-05 Nell Hartney , Thomas M. Bendall , Jemma Shipton

Structure identification in cosmological simulations plays an important role in analysing simulation outputs. The definition of these structures directly impacts the inferred properties derived from these simulations. This paper proposes a…

Astrophysics of Galaxies · Physics 2025-01-16 Robel Geda , Romain Teyssier

Modeling important engineering problems related to flow-induced damage (in the context of hydraulic fracturing among others) depends critically on characterizing the interaction of porous media and interstitial fluid flow. This work…

Numerical Analysis · Mathematics 2012-06-27 Daniel Z. Turner

We present simulations of a comet interacting with the solar wind. Such simulations are treated in the framework of the ideal, 2D magnetohydrodynamics (MHD), using the FLASH code in order to solve the equations of such a formalism. Besides,…

Soil is a critical component of terrestrial ecosystems, directly influencing global biogeochemical cycles. Despite its importance, the complex architecture of soil pores and their impact on greenhouse gas emissions remain poorly understood.…

Pattern Formation and Solitons · Physics 2025-05-23 Abhijeet Das

We develop a linearly-scaling variant of the Force Coupling Method [K. Yeo and M. R. Maxey, J. Fluid Mech. 649, 205-231 (2010)] for computing hydrodynamic interactions among particles confined to a doubly-periodic geometry with either a…

Computational Physics · Physics 2023-05-03 Aref Hashemi , Raul P. Pelaez , Sachin Natesh , Brennan Sprinkle , Ondrej Maxian , Zecheng Gan , Aleksandar Donev

Geophysical models of the atmosphere and ocean invariably involve parameterizations. These represent two distinct areas: Subgrid processes that the model cannot resolve, and diabatic sources in the equations, due to radiation for example.…

This chapter introduces the fracture nucleation process, their (extreme) statistics in disordered solids, in fiber bundle models, and in the two fractal overlap models of earthquake.

Statistical Mechanics · Physics 2007-05-23 Bikas K. Chakrabarti