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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

This paper introduces a sharp interface method to simulate fluid-structure interaction (FSI) involving rigid bodies immersed in viscous incompressible fluids. The capabilities of this methodology are demonstrated for a range of benchmark…

We present a method for computing fluid-structure interaction problems for multi-body systems. The fluid flow equations are solved using a fractional-step method with the immersed boundary method proposed by Uhlmann [J. Comput Phys. 209…

We present a novel formulation for the immersed coupling of Isogeometric Analysis (IGA) and Peridynamics (PD) for the simulation of fluid-structure interaction (FSI). We focus on air-blast FSI and address the computational challenges of…

Numerical Analysis · Mathematics 2021-11-09 Masoud Behzadinasab , Michael Hillman , Yuri Bazilevs

High-performance computing platforms are becoming more and more heterogeneous, which makes it very difficult for researchers and scientific software developers to keep up with the rapid changes on the hardware market. In this paper, the…

Mathematical Software · Computer Science 2018-09-27 Matthias Möller , Andrzej Jaeschke

We present LBsoft, an open-source software developed mainly to simulate the hydro-dynamics of colloidal systems based on the concurrent coupling between lattice Boltzmann methods for the fluid and discrete particle dynamics for the…

This work develops advanced numerical methods for free-surface simulations of polymer mixing processes, integrating a Volume of Fluid (VOF) interface-capturing approach with a non-conforming Immersed Boundary (IB) method to model two-phase…

The Immersed Boundary (IB) method of Peskin (J. Comput. Phys., 1977) is useful for problems involving fluid-structure interactions or complex geometries. By making use of a regular Cartesian grid that is independent of the geometry, the IB…

Numerical Analysis · Mathematics 2024-02-06 Brittany J. Leathers , Robert D. Guy

Deformable elastic bodies in viscous and viscoelastic media constitute a large portion of synthetic and biological complex fluids. We present a parallelized 3D-simulation methodology which fully resolves the momentum balance in the solid…

Computational Physics · Physics 2019-03-11 Amir Saadat , Chris J. Guido , Gianluca Iaccarino , Eric S. G. Shaqfeh

The immersed boundary (IB) method has become a leading approach in cardiac fluid-structure interaction (FSI) modeling due to its ability to handle large deformations and complex geometries without requiring mesh regeneration. However, the…

Computational Physics · Physics 2025-09-16 Pengfei Ma , Li Cai , Xuan Wang , Hao Gao

Computational fluid dynamics and fluid-structure interaction simulations involving moving and deforming bodies is extremely hard. In this work, we present a graphical processing unit (GPU) optimized implementation of the sharp-interface…

Computational Physics · Physics 2026-05-07 Sushrut Kumar , Joshua Romero , Jung-Hee Seo , Massimiliano Fatica , Rajat Mittal

The simulation of morphogenetic problems requires the simultaneous and coupled simulation of signalling and tissue dynamics. A cellular resolution of the tissue domain is important to adequately describe the impact of cell-based events,…

Quantitative Methods · Quantitative Biology 2015-03-29 Simon Tanaka , David Sichau , Dagmar Iber

In this work it is shown how the immersed boundary method of (Peskin2002) for modeling flexible structures immersed in a fluid can be extended to include thermal fluctuations. A stochastic numerical method is proposed which deals with…

Soft Condensed Matter · Physics 2023-02-28 P. J. Atzberger , P. R. Kramer , C. S. Peskin

M2C (Multiphysics Modeling and Computation) is an open-source software for simulating multi-material fluid flows and fluid-structure interactions under extreme conditions, such as high pressures, high temperatures, shock waves, and large…

Fluid Dynamics · Physics 2025-08-25 Xuning Zhao , Wentao Ma , Shafquat Islam , Aditya Narkhede , Kevin Wang

We present an open-source Matlab framework, titled iFluid, for simulating the dynamics of integrable models using the theory of generalized hydrodynamics (GHD). The framework provides an intuitive interface, enabling users to define and…

Statistical Mechanics · Physics 2020-03-18 Frederik S. Møller , Jörg Schmiedmayer

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 present a novel framework to deal with static and moving immersed boundaries (IB). In this strategy, called Volume-Filtering Immersed Boundary (VFIB) method, transport equations are derived by filtering the Navier-Stokes equations and…

Fluid Dynamics · Physics 2023-05-24 Himanshu Dave , Marcus Herrmann , M. Houssem Kasbaoui

We present an approach for numerically simulating the dynamics of flexible fibers in a three-dimensional shear flow using a scalable immersed boundary (IB) algorithm based on Guermond and Minev's pseudo-compressible fluid solver. The fibers…

Fluid Dynamics · Physics 2015-07-08 Jeffrey K. Wiens , John M. Stockie

Our paper proposes an innovative approach for modeling Fluid-Structure Interaction (FSI). Our method combines both traditional monolithic and partitioned approaches, creating a hybrid solution that facilitates FSI. At each time iteration,…

Numerical Analysis · Mathematics 2024-01-15 R. Nemer , A. Larcher , E. Hachem

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…