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The emergence and understanding of new design paradigms that exploit flow induced mechanical instabilities for propulsion or energy harvesting demands robust and accurate flow structure interaction numerical models. In this context, we…

Fluid Dynamics · Physics 2019-05-22 Caroline Bernier , Mattia Gazzola , Renaud Ronsse , Philippe Chatelain

In this paper, we combine concepts of the generalized multiscale finite element method and mode decomposition methods to construct a robust local-global approach for model reduction of flows in high-contrast porous media. This is achieved…

Computational Physics · Physics 2013-01-25 Mehdi Ghommem , Michael Presho , Victor M. Calo , Yalchin Efendiev

A finite-volume method for the one-dimensional shallow-water equations including topographic source terms is presented. Exploiting an original idea by Leroux, the system of partial-differential equations is completed by a trivial equation…

Numerical Analysis · Mathematics 2025-10-20 Abdou Wahidi Bello

This paper deals with a new solid-fluid coupling algorithm between a rigid body and an unsteady compressible fluid flow, using an Embedded Boundary method. The coupling with a rigid body is a first step towards the coupling with a Discrete…

Numerical Analysis · Mathematics 2016-12-01 Laurent Monasse , Virginie Daru , Christian Mariotti , Serge Piperno , Christian Tenaud

Finite difference method and finite element method are popular methods for solving groundwater flow equations. This paper presents a new method that uses gradually varied functions to solve such equation. In this paper, we have established…

Numerical Analysis · Mathematics 2012-10-17 Li Chen , Xun-Hong Chen

In this paper a data analytical approach featuring support vector machines (SVM) is employed to train a predictive model over an experimentaldataset, which consists of the most relevant studies for two-phase flow pattern prediction. The…

Machine Learning · Statistics 2018-06-14 Pablo Guillen-Rondon , Melvin D. Robinson , Carlos Torres , Eduardo Pereya

A numerical method is proposed for solving the two layer shallow water equations with variable bathymetry in one dimension based on high-resolution f-wave-propagation finite volume methods. The method splits the jump in the fluxes and…

Numerical Analysis · Mathematics 2015-06-16 Kyle T. Mandli

The aim of hybrid methods in simulations is to communicate regions with disparate time and length scales. Here, a fluid described at the atomistic level within an inner region P is coupled to an outer region C described by continuum fluid…

Soft Condensed Matter · Physics 2009-11-10 R. Delgado-Buscalioni , P. V. Coveney

Chemical vapor deposition (CVD) is a common industrial process that incorporates a complex combination of fluid flow, chemical reactions, and surface deposition. Understanding CVD processes requires rigorous and costly experimentation…

Fluid Dynamics · Physics 2025-09-09 Himel Barua , Alex Povitsky

The objective of this three-part work is to formulate and rigorously analyse a number of reduced mathematical models that are nevertheless capable of describing the hydrology at the scale of a river basin (i.e. catchment). Coupled surface…

Fluid Dynamics · Physics 2023-12-29 Piotr Morawiecki , Philippe H. Trinh

In this paper, a novel fluid dynamics-based approach to channel modeling, which considers liquid droplets as information carriers instead of molecules in the molecular communication (MC) channel, is proposed for practical macroscale MC…

Signal Processing · Electrical Eng. & Systems 2021-01-05 Fatih Gulec , Baris Atakan

A spacetime outlook on Computational Fluid Dynamics is advocated: models in fluid mechanics often have the spacetime correlation property, which should be inherited and preserved in the corresponding numerical algorithms. Starting from the…

Fluid Dynamics · Physics 2020-09-09 Jiequan Li

The numerical simulation of large-scale multiphase flow in porous media is of considerable importance across various application fields, particularly in the petroleum industry. The fully implicit method is preferred in reservoir simulations…

Numerical Analysis · Mathematics 2026-04-13 Shizhe Li , Li Zhao , Chen-Song Zhang

A comprehensive scheme for the spatial discretisation of continuity equation, momentum advection and normal and shear stresses at the fluid interfaces is presented for numerically simulating the incompressible two phase flows based on the…

Fluid Dynamics · Physics 2014-08-11 Jun-De Li

A water monolayer squeezed between two solid planes experiences strong out-of-plane confinement effects while expanding freely within the plane. As a consequence, the transport of such two-dimensional water combines hydrodynamic and…

Materials Science · Physics 2023-07-06 Maxim Trushin , Alexandra Carvalho , A. H. Castro Neto

An optimization-based strategy is proposed for coupling three-dimensional and one-dimensional problems (3D-1D coupling) in the context of soil-root interaction simulations. This strategy, originally designed to tackle generic 3D-1D coupled…

Numerical Analysis · Mathematics 2024-12-18 Stefano Berrone , Stefano Ferraris , Denise Grappein , Gioana Teora , Fabio Vicini

We show that the one-dimensional (1D) two-fluid model (TFM) for stratified flow in channels and pipes (in its incompressible, isothermal form) satisfies an energy conservation equation, which arises naturally from the mass and momentum…

Fluid Dynamics · Physics 2023-10-26 J. F. H. Buist , B. Sanderse , S. Dubinkina , R. A. W. M. Henkes , C. W. Oosterlee

A fully coupled implicit finite-volume algorithm for incompressible viscoelastic interfacial flows is proposed, whereby the viscoelasticity of the flow is described by an upper-convected Maxwell constitutive model, including limited…

Fluid Dynamics · Physics 2026-02-10 Ayman Mazloum , Gabriele Gennari , Fabian Denner , Berend van Wachem

The paper is concerned with a node-based, gradient-driven, continuous adjoint two-phase flow procedure to optimize the shapes of free-floating vessels and discusses three topics. First, we aim to convey that elements of a Cahn-Hilliard…

Fluid Dynamics · Physics 2022-02-10 Niklas Kühl , Thanh Tung Nguyen , Michael Palm , Dirk Jürgens , Thomas Rung

We developed a computational framework for simulating thin fluid flow in narrow interfaces between contacting solids, which is relevant for a range of engineering, biological and geophysical applications. The treatment of this problem…

Computational Engineering, Finance, and Science · Computer Science 2021-03-23 Andrei G. Shvarts , Julien Vignollet , Vladislav A. Yastrebov