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This paper introduces an Algebraic MultiScale method for simulation of flow in heterogeneous porous media with embedded discrete Fractures (F-AMS). First, multiscale coarse grids are independently constructed for both porous matrix and…

Numerical Analysis · Mathematics 2017-05-17 Matei Tene , Mohammed Saad Al Kobaisi , Hadi Hajibeygi

We develop a one-dimensional model for the unsteady fluid--structure interaction (FSI) between a soft-walled microchannel and viscous fluid flow within it. A beam equation, which accounts for both transverse bending rigidity and nonlinear…

Fluid Dynamics · Physics 2020-06-18 Tanmay C. Inamdar , Xiaojia Wang , Ivan C. Christov

This work presents a partitioned solution procedure to compute shape gradients in fluid-structure interaction (FSI) using black-box adjoint solvers. Special attention is paid to project the gradients onto the undeformed configuration. This…

Numerical Analysis · Mathematics 2019-12-09 Reza Najian Asl , Ihar Antonau , Aditya Ghantasala , Wulf G. Dettmer , Roland Wuchner , Kai-Uwe Bletzinger

Variational multiscale (VMS) methods offer a robust framework for handling under-resolved flow scales without resorting to problem-specific turbulence models. Here, we propose and assess a dynamic, term-by-term VMS stabilized formulation…

Fluid Dynamics · Physics 2026-02-06 Diego Escobar , Douglas Pacheco , Alejando Aguirre , Ernesto Castillo

In this paper we present a new family of high order accurate Arbitrary-Lagrangian-Eulerian (ALE) one-step ADER-WENO finite volume schemes for the solution of nonlinear systems of conservative and non-conservative hyperbolic partial…

Numerical Analysis · Mathematics 2015-06-18 Walter Boscheri , Michael Dumbser

To accurately simulate all phases of the cardiac cycle, computational models of hemodynamics in heart chambers need to include a sufficiently faithful model of cardiac valves. This can be achieved efficiently through resistive methods, and…

Numerical Analysis · Mathematics 2025-06-05 Michele Bucelli , Luca Dede'

When turbulent convection interacts with a turbulent shear flow, the cores of convective cells become aligned with the mean current, and these cells (which span the height of the domain) may interact with motions closer to the solid…

Fluid Dynamics · Physics 2025-04-09 Andrew P. Grace , David H. Richter

A novel numerical formulation for solving fluid-structure interaction (FSI) problems is proposed where the fluid field is spatially discretized using smoothed particle hydrodynamics (SPH) and the structural field using the finite element…

Computational Engineering, Finance, and Science · Computer Science 2021-06-16 Sebastian L. Fuchs , Christoph Meier , Wolfgang A. Wall , Christian J. Cyron

A fluid-structure interaction (FSI) problem is solved via a monolithic coupling of the fluid, structure, and geometry subproblems. The iterative GMRES solver is accelerated with the FaCSI block preconditioner. In the FaCSI factorization,…

Numerical Analysis · Mathematics 2025-12-02 Axel Klawonn , Jascha Knepper , Lea Saßmannshausen

We present a monolithic parallel Newton-multigrid solver for nonlinear three dimensional fluid-structure interactions in Arbitrary Lagrangian Eulerian formulation. We start with a finite element discretization of the coupled problem, based…

Numerical Analysis · Mathematics 2020-08-11 L. Failer , T. Richter

We present a novel framework inspired by the Immersed Boundary Method for predicting the fluid-structure interaction of complex structures immersed in flows with moderate to high Reynolds numbers. The main novelties of the proposed…

Swimming involves a body's capability to navigate through a fluid by undergoing self-deformations. Typically, fluid dynamics are described by the Navier-Stokes equations, and when integrated with a swimming body, it results in a highly…

Analysis of PDEs · Mathematics 2024-08-27 Céline Van Landeghem , Luca Berti , Laëtitia Giraldi , Christophe Prud'Homme

Using a fixed Eulerian mesh, the phase-field method has been successfully utilized for a broad range of moving boundary problems involving multiphase fluids and single-phase fluid-structure interaction. Nevertheless, multiphase fluids…

Fluid Dynamics · Physics 2024-02-19 Xiaoyu Mao , Rajeev Jaiman

This work addresses research questions arising from the application of geometrically exact beam theory in the context of fluid-structure interaction (FSI). Geometrically exact beam theory has proven to be a computationally efficient way to…

Computational Engineering, Finance, and Science · Computer Science 2022-07-13 Nora Hagmeyer , Matthias Mayr , Ivo Steinbrecher , Alexander Popp

The immersed boundary method is an approach to fluid-structure interaction that uses a Lagrangian description of the structural deformations, stresses, and forces along with an Eulerian description of the momentum, viscosity, and…

Numerical Analysis · Mathematics 2017-02-27 Boyce E. Griffith , Xiaoyu Luo

We present a novel monolithic divergence-conforming HDG scheme for a linear fluid-structure interaction (FSI) problem with a thick structure. A pressure-robust optimal energy-norm estimate is obtained for the semidiscrete scheme. When…

Numerical Analysis · Mathematics 2020-12-02 Guosheng Fu , Wenzheng Kuang

Spurious numerical mixing is a frequent phenomenon in ocean models. In this paper, we present an efficient and robust methodology that defines the vertical grid motion so that this mixing is reduced. This motion is defined as the solution…

Computational Physics · Physics 2026-05-27 Andreas Alexandris-Galanopoulos , George Papadakis

An interface control principle is proposed for unsteady fluid-structure in- teraction (FSI) analyses. This principle introduces a method of explicitly controlling the interface motion in the temporal direction to minimize the residual force…

Fluid Dynamics · Physics 2025-10-21 Chungil Lee , Yoshiaki Abe , Yu Kawano , Tomoki Yamazaki

Hyperbolic partial differential equations (PDEs) cover a wide range of interesting phenomena, from human and hearth-sciences up to astrophysics: this unavoidably requires the treatment of many space and time scales in order to describe at…

Numerical Analysis · Mathematics 2022-09-07 Elena Gaburro , Simone Chiocchetti

High-resolution and anatomically realistic computer models of biological soft tissues play a significant role in the understanding of the function of cardiovascular components in health and disease. However, the computational effort to…

Medical Physics · Physics 2015-08-12 Christoph M. Augustin , Gerhard A. Holzapfel , Olaf Steinbach