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The immersed interface method (IIM) for fluid-structure interaction imposes discontinuities in the fluid stress along immersed boundaries that are generated by forces concentrated along those boundaries. For a viscous incompressible fluid,…

Numerical Analysis · Mathematics 2026-03-10 Michael J. Facci , Qi Sun , Boyce E. Griffith

This paper presents a novel method for smoothed particle hydrodynamics (SPH) with thin-walled structures. Inspired by the direct forcing immersed boundary method, this method employs a moving least square method to guarantee the smoothness…

Fluid Dynamics · Physics 2023-10-10 ZhuoLin Wang , Zichao Jiang , Yi Zhang , Gengchao Yang , Trevor Hocksun Kwan , Yuhui Chen , Qinghe Yao

The unavailability of accurate boundary treatment methods for compressible Smoothed Particle Hydrodynamics (SPH) severely limits its ability to simulate flows in and around bodies. To this end, challenges specific to compressible flows with…

Fluid Dynamics · Physics 2024-08-27 Navaneet Villodi , Prabhu Ramachandran

This study presents an advanced sharp-interface immersed boundary method (IBM) integrated with the blastFOAM library on the OpenFOAM platform for high-speed compressible flow simulations. The developed solver extends the existing IBM…

Classical Physics · Physics 2026-02-18 Punit Pandey , Ankit Bansal , Krishna Mohan Singh , Yannick Hoarau

The unique pressure exerted by active particles -- the "swim" pressure -- has proven to be a useful quantity in explaining many of the seemingly confounding behaviors of active particles. However, its use has also resulted in some puzzling…

Soft Condensed Matter · Physics 2020-01-22 Ahmad K. Omar , Zhen-Gang Wang , John F. Brady

Linear shear flow bounded by a plane wall is an idealization that occurs in microfluidic devices and many other applications. Perfect plane approximation neglects surface irregularities and discrete particles adsorbed at the surface. Here…

Fluid Dynamics · Physics 2024-05-28 Itzhak Fouxon , Alexander M. Leshansky

Interactions between an evolving solid and inviscid flow can result in substantial computational complexity, particularly in circumstances involving varied boundary conditions between the solid and fluid phases. Examples of such…

Fluid Dynamics · Physics 2022-09-30 Emma M. Schmidt , J. Matt Quinlan , Brandon Runnels

An analytical solution of the impulsive impact of a cylindrical body submerged below a calm water surface is obtained by solving a free boundary problem. The shape of the cross section of the body is arbitrary. The integral hodograph method…

Fluid Dynamics · Physics 2021-06-09 Y. A. Semenov , Y. N. Savchenko , G. Y. Savchenko

Inverse problems in computational mechanics consist of inferring physical fields that are latent in the model describing some observable fields. For instance, an inverse problem of interest is inferring the Reynolds stress field in the…

Computational Physics · Physics 2020-06-24 Carlos A. Michelén Ströfer , Xinlei Zhang , Heng Xiao , Olivier Coutier-Delgosha

Immersed boundary methods have attracted substantial interest in the last decades due to their potential for computations involving complex geometries. Often these cannot be efficiently discretized using boundary-fitted finite elements.…

Computational Engineering, Finance, and Science · Computer Science 2026-01-13 Tim Bürchner , Lars Radtke , Philipp Kopp , Stefan Kollmannsberger , Ernst Rank , Alexander Düster

This work discusses the correct modeling of the fully nonlinear free surface boundary conditions to be prescribed in water waves flow simulations based on potential flow theory. The main goal of such a discussion is that of identifying a…

Numerical Analysis · Mathematics 2023-06-06 Andrea Mola , Nicola Giuliani , Óscar Crego , Gianluigi Rozza

A new parallel, computationally efficient immersed boundary method for solving three-dimensional, viscous, incompressible flows on unbounded domains is presented. Immersed surfaces with prescribed motions are generated using the…

Fluid Dynamics · Physics 2017-01-04 Sebastian Liska , Tim Colonius

Two-phase outflows refer to situations where the interface formed between two immiscible incompressible fluids passes through open portions of the domain boundary. We present in this paper several new forms of open boundary conditions for…

Fluid Dynamics · Physics 2014-12-31 S. Dong , X. Wang

This paper sums up some recent validations of an immersed boundary method for compressible flow simulations. It has been already shown that this method is able to provide accurate results without meshing effort around more or less complex…

Fluid Dynamics · Physics 2019-02-19 Thomas Renaud , Christophe Benoit , Stephanie Péron , Ivan Mary , Nicolas Alferez

Acoustic and elastic wave equations are routinely used in geophysical and engineering studies to simulate the propagation of waves, with a broad range of applications, including seismology, near surface characterization, non-destructive…

Numerical Analysis · Mathematics 2022-09-05 Longfei Gao

The interpolated bounce-back scheme and the immersed boundary method are the two most popular algorithms in treating a no-slip boundary on curved surfaces in the lattice Boltzmann method. While those algorithms are frequently implemented in…

Computational Physics · Physics 2020-11-25 Cheng Peng , Orlando M. Ayala , Lian-Ping Wang

Turbulent flows over blunt bodies with distributed roughness present a class of problems relevant to hypersonic atmospheric entry systems. However, accurate predictions of shear stress on such bodies remains elusive. This work presents a…

Fluid Dynamics · Physics 2025-08-22 Mateus A. R. Braga , Robyn L. Macdonald

Two methods for solid body representation in flow simulations available in the Pencil Code are the immersed boundary method and overset grids. These methods are quite different in terms of computational cost, flexibility and numerical…

Computational Physics · Physics 2018-11-20 Jørgen R. Aarnes , Tai Jin , Chaoli Mao , Nils E. L. Haugen , Kun Luo , Helge I. Andersson

A boundary thickening-based direct forcing (BTDF) immersed boundary (IB) method is proposed for fully resolved simulation of incompressible viscous flows laden with finite size particles. By slightly thickening the boundary thickness, the…

Computational Physics · Physics 2020-06-26 Maoqiang Jiang , Zhaohui Liu

A numerical method is developed to efficiently calculate the stress (and displacement) field in finite 2D rectangular media. The solution is expanded on a function basis with elements that satisfy the Navier-Cauchy equation. The obtained…

Materials Science · Physics 2020-04-22 Denes Berta , Istvan Groma , Peter Dusan Ispanovity