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The immersed boundary method is a mathematical formulation and numerical method for solving fluid-structure interaction problems. For many biological problems, such as models that include the cell membrane, the immersed structure is a…

Numerical Analysis · Mathematics 2018-06-07 Ondrej Maxian , Andrew T. Kassen , Wanda Strychalski

Computational gas dynamics has become a prominent research field both in astrophysics and cosmology. In the first part of this review we intend to briefly describe several of the numerical methods used in this field, discuss their range of…

Astrophysics · Physics 2007-12-24 A. Hujeirat , B. W. Keil , F. Heitsch

We introduce fluctuating hydrodynamics approaches on surfaces for capturing the drift-diffusion dynamics of particles and microstructures immersed within curved fluid interfaces of spherical shape. We take into account the interfacial…

Soft Condensed Matter · Physics 2023-10-24 David Rower , Misha Padidar , Paul J. Atzberger

Passive flow control via fluid-structure interaction (FSI) is a promising paradigm for unmanned aerial vehicles operating in vortex-dominated low Reynolds number regimes. A flexible structure has the potential to passively alter key…

Fluid Dynamics · Physics 2024-11-07 Srikumar Balasubramanian , Andres Goza

We present and analyze a parallel solver for the solution of fluid structure interaction problems described by a fictitious domain approach. In particular, the fluid is modeled by the non-stationary incompressible Navier-Stokes equations,…

Numerical Analysis · Mathematics 2024-02-07 Daniele Boffi , Fabio Credali , Lucia Gastaldi , Simone Scacchi

We present approaches for the study of fluid-structure interactions subject to thermal fluctuations. A mixed mechanical description is utilized combining Eulerian and Lagrangian reference frames. We establish general conditions for…

Soft Condensed Matter · Physics 2023-02-28 Paul J. Atzberger

We propose a novel fluid-structure interaction (FSI) scheme using the entropic multi-relaxation time lattice Boltzmann (KBC) model for the fluid domain in combination with a nonlinear finite element solver for the structural part. We show…

Fluid Dynamics · Physics 2018-02-28 Benedikt Dorschner , Shyam S. Chikatamarla , Ilya V. Karlin

In this paper, the authors propose an analysis of the frequency response function in a car compartment, subject to some fluctuating pressure distribution along the open cavity of the sun-roof at the top of a car. Coupling of a computational…

Numerical Analysis · Mathematics 2021-12-02 Liang S. Lai , Choi-Hong Lai , Abal-Kassim Cheik Ahamed , Frederic Magoules

Understanding crack propagation in structures subjected to fluid loads is crucial in various engineering applications, ranging from underwater pipelines to aircraft components. This study investigates the dynamic response of structures,…

Computational Engineering, Finance, and Science · Computer Science 2023-10-06 Md Rushdie Ibne Islam

The finite element simulation of dynamic wetting phenomena, requiring the computation of flow in a domain confined by intersecting a liquid-fluid free surface and a liquid-solid interface, with the three-phase contact line moving across the…

Computational Physics · Physics 2012-02-20 J. E. Sprittles , Y. D. Shikhmurzaev

Fluid flow applications can involve a number of coupled problems. One is the simulation of free-surface flows, which require the solution of a free-boundary problem. Within this problem, the governing equations of fluid flow are coupled…

Numerical Analysis · Mathematics 2015-01-26 Stefanie Elgeti , Henning Sauerland

We present an operator-splitting scheme for fluid-structure interaction (FSI) problems in hemodynamics, where the thickness of the structural wall is comparable to the radius of the cylindrical fluid domain. The equations of linear…

Numerical Analysis · Mathematics 2015-10-28 Martina Bukac , Suncica Canic , Roland Glowinski , Boris Muha , Annalisa Quaini

We present novel coupling schemes for partitioned multi-physics simulation that combine four important aspects for strongly coupled problems: implicit coupling per time step, fast and robust acceleration of the corresponding iterative…

Numerical Analysis · Mathematics 2020-09-21 Benjamin Rüth , Benjamin Uekermann , Miriam Mehl , Philipp Birken , Azahar Monge , Hans-Joachim Bungartz

We present the development and benchmarking of an in-house fluid-structure interaction (FSI) solver. An implicit partitioned approach is utilized to couple a sharp-interface immersed boundary (IB) method based flow solver and a…

Fluid Dynamics · Physics 2020-05-07 Anup Kundu , Atul K. Soti , Hemanshul Garg , Rajneesh Bhardwaj , Mark C. Thompson

We develop a three-dimensional Eulerian framework to simulate fluid-structure interaction (FSI) problems on a fixed Cartesian grid using the geometric volume-of-fluid (VOF) method. The coupled problem involves incompressible flow and…

Fluid Dynamics · Physics 2025-05-30 Soham Prajapati , Ali Fakhreddine , Krishnan Mahesh

We propose a two-fold approach to model reduction of fluid-structure interaction. The state equations for the fluid are solved with reduced basis methods. These are model reduction methods for parametric partial differential equations using…

Numerical Analysis · Mathematics 2010-05-20 Toni Lassila , Gianluigi Rozza

While students may find spline interpolation quite digestible, based on their familiarity with continuity of a function and its derivatives, some of its inherent value may be missed when students only see it applied to standard data…

History and Overview · Mathematics 2021-02-09 Nicholas A. Battista

We present a numerical method specifically designed for simulating three-dimensional fluid--structure interaction (FSI) problems based on the reference map technique (RMT). The RMT is a fully Eulerian FSI numerical method that allows fluids…

Fluid Dynamics · Physics 2022-05-18 Yuexia L. Lin , Nicholas J. Derr , Chris H. Rycroft

Many objects of nanoscopic dimensions involve fluid-tethered chain interfaces. These systems are of interest for basic science and for several applications, in particular for design of nanodevices for specific purposes. We review recent…

Soft Condensed Matter · Physics 2014-03-07 S. Sokołowski , J. Ilnytskyi , O. Pizio

We study a recent formulation for fluid-structure interaction problems based on the use of a distributed Lagrange multiplier in the spirit of the fictitious domain approach. In this paper, we focus our attention on a crucial computational…

Numerical Analysis · Mathematics 2022-10-26 Daniele Boffi , Fabio Credali , Lucia Gastaldi
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