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Within the last decade microscopic multiphase flows have gained broad interest. An exact understanding of the underlying hydrodynamic interrelations is the key for successful reactor layout and reaction control. To examine the local…

Fluid Dynamics · Physics 2020-02-14 Thorben Helmers , Philip Kemper , Ulrich Mießner , Jorg Thöming

Immersed methods discretize boundary conditions for complex geometries on background Cartesian grids. This makes such methods especially suitable for two-way coupled flow-body problems, where the body mechanics are partially driven by…

Fluid Dynamics · Physics 2025-04-01 Xinjie Ji , James Gabbard , Wim M. van Rees

High-dimensional recordings of dynamical processes are often characterized by a much smaller set of effective variables, evolving on low-dimensional manifolds. Identifying these latent dynamics requires solving two intertwined problems:…

Machine Learning · Computer Science 2026-01-21 Manuel Hinz , Maximilian Mauel , Patrick Seifner , David Berghaus , Kostadin Cvejoski , Ramses J. Sanchez

A model for internal interfacial waves between two layers of fluid in the presence of current and variable bottom is studied in the flat-surface approximation. Fluids are assumed to be incompressible and inviscid. Another assumption is that…

Pattern Formation and Solitons · Physics 2025-07-08 Rossen Ivanov , Lyudmila Ivanova

The solution of differential problems, and in particular of quantum wave equations, can in general be performed both in the direct and in the reciprocal space. However, to achieve the same accuracy, direct-space finite-difference approaches…

Mesoscale and Nanoscale Physics · Physics 2013-12-24 Paolo Marconcini , Demetrio Logoteta , Massimo Macucci

Many multiscale wave systems exhibit macroscale emergent behaviour, for example, the fluid dynamics of floods and tsunamis. Resolving a large range of spatial scales typically requires a prohibitively high computational cost. The small…

Numerical Analysis · Mathematics 2023-06-21 J. Divahar , A. J. Roberts , Trent W. Mattner , J. E. Bunder , Ioannis G. Kevrekidis

Reconfigurable Intelligent Surfaces (RISs) have emerged as a promising technology for next-generation wireless communications, offering energy-efficient control of electromagnetic (EM) waves. While conventional RIS models based on phase…

Information Theory · Computer Science 2025-08-12 Ayane Lebeta Goshu , Placido Mursia , Vincenzo Sciancalepore , Marco Di Renzo , Xavier Costa-Pérez

We put forward a new type of spectral method for the direct numerical simulation of flows where anisotropy or very fine boundary layers are present. The mean idea is to take advantage of the fact that such structures are dissipative and…

Fluid Dynamics · Physics 2014-03-18 Kacper Kornet , Alban Pothérat

The Immersed Boundary Method (IBM) is one of the popular one-fluid mixed Eulerian-Lagrangian methods to simulate motion of droplets. While the treatment of a moving complex boundary is an extremely time consuming and formidable task in a…

Computational Physics · Physics 2018-07-30 Chia Rui Ong , Hiroaki Miura

Navier-Stokes equations are significant partial differential equations that describe the motion of fluids such as liquids and air. Due to the importance of Navier-Stokes equations, the development on efficient numerical schemes is important…

Fluid Dynamics · Physics 2022-07-21 Rui Zhang , Peiyan Hu , Qi Meng , Yue Wang , Rongchan Zhu , Bingguang Chen , Zhi-Ming Ma , Tie-Yan Liu

This paper presents and investigates a novel methodology for validating high-resolution ocean models using satellite imagery. High-resolution ocean models provide detailed information in coastal areas where other available data products are…

Atmospheric and Oceanic Physics · Physics 2025-01-28 G. Garcia-Sanchez , A. M. Mancho , A. G. Ramos , J. Coca , J. A. Jimenez-Madrid

A novel smooth immersed boundary method (IBM) based on a direct-forcing formulation is proposed to simulate incompressible dense particle-laden flows. This IBM relies on a regularization of the transfer function between the Eulerian grid…

Computational Physics · Physics 2023-04-24 Victor Chéron , Fabien Evrard , Berend van Wachem

In the present article we describe a few simple and efficient finite volume type schemes on moving grids in one spatial dimension combined with appropriate predictor-corrector method to achieve higher resolution. The underlying finite…

Numerical Analysis · Mathematics 2020-05-26 Gayaz Khakimzyanov , Denys Dutykh , Dimitrios Mitsotakis , Nina Shokina

This paper presents a detailed evaluation of the envelope-tracking adaptive integral method (ET-AIM), an FFT-accelerated algorithm for analyzing electromagnetic scattering. ET-AIM is used to solve progressively more complex benchmark…

Computational Physics · Physics 2014-09-01 Guneet Kaur , Ali E. Yilmaz

A novel method - the Virtual Ring Shear-Slip Mesh Update Method (VR-SSMUM) - for the efficient and accurate modeling of moving boundary or interface problems in the context of the numerical analysis of fluid flow is presented. We focus on…

Numerical Analysis · Mathematics 2018-04-11 Fabian Key , Lutz Pauli , Stefanie Elgeti

In this paper, we review the history and current state-of-the-art in the modelling of long nonlinear dispersive waves. For the sake of conciseness of this review, we omit the unidirectional models and focus especially on some classical and…

Fluid Dynamics · Physics 2020-02-20 Gayaz Khakimzyanov , Denys Dutykh , Zinaida Fedotova , Dimitrios Mitsotakis

Shallow water surface flows commonly entrain sediments, resulting in scouring and/or deposition of the underlying substrate that may strongly influence the pattern of subsequent flow. These coupled phenomena, which can be investigated…

Computational Physics · Physics 2019-11-12 Haseeb Zia , Guy Simpson

A surface integral equation solver is proposed for fast and accurate simulation of interconnects embedded in stratified media. A novel technique for efficient computation of the multilayer Green's function is proposed. Using the Taylor…

Computational Physics · Physics 2019-03-11 Shashwat Sharma , Utkarsh R. Patel , Sean V. Hum , Piero Triverio

This paper proposes a novel optimization framework for discrete phase shifts of a reconfigurable intelligent surface (RIS) using a coherent Ising machine (CIM). Unlike conventional methods based on iterative convex approximation or…

Information Theory · Computer Science 2026-04-01 Yuto Hama , Daisuke Kitayama , Kensuke Inaba , Toshimori Honjo , Hiroki Takesue , Naoki Ishikawa , Hiroyuki Takahashi

We obtain a general solution for the water waves resulting from a general, time-dependent surface pressure distribution, in the presence of a shear current of uniform vorticity beneath the surface, in three dimensions. Linearized governing…

Fluid Dynamics · Physics 2015-11-10 Yan Li , Simen Å. Ellingsen
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