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We present an immersed interface method for the vorticity-velocity form of the 2D Navier Stokes equations that directly addresses challenges posed by multiply connected domains, nonconvex obstacles, and the calculation of force…

Fluid Dynamics · Physics 2022-07-13 James Gabbard , Thomas Gillis , Philippe Chatelain , Wim M. van Rees

We present an immersed boundary projection method formulated in a body-fixed frame of reference for flow-structure interaction (FSI) problems involving rigid bodies with complex geometries. The body-fixed formulation is aimed at maximizing…

Fluid Dynamics · Physics 2020-01-07 Tzu-Yuan Lin , Hsin-Yu Hsieh , Hsieh-Chen Tsai

We propose a novel approach for deformation-aware neural networks that learn the weighting and synthesis of dense volumetric deformation fields. Our method specifically targets the space-time representation of physical surfaces from liquid…

Graphics · Computer Science 2019-02-21 Lukas Prantl , Boris Bonev , Nils Thuerey

Goal: A limitation in robotic surgery is the lack of force feedback, due to challenges in suitable sensing techniques. To enhance the perception of the surgeons and precise force rendering, estimation of these forces along with tissue…

Systems and Control · Electrical Eng. & Systems 2025-04-30 Srikar Annamraju , Yuxi Chen , Jooyoung Lim , Inki Kim

We show that an attempt to compute numerically a viscous flow in a domain with a piece-wise smooth boundary by straightforwardly applying well-tested numerical algorithms (and numerical codes based on their use, such as COMSOL Multiphysics)…

Fluid Dynamics · Physics 2009-04-06 J. E. Sprittles , Y. D. Shikhmurzaev

In fluid-structure interaction problems, some people use a penalty method for positioning the structure inside the fluid. This is usually performed by considering that the fluid is very stiff or/and very heavy at the place occupied by the…

Numerical Analysis · Mathematics 2020-11-19 Philippe Destuynder , Erwan Liberge

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

We present a collocated-grid framework for Direct Numerical Simulations of polydisperse particles submerged in a viscous fluid. The fluid-particle forces are coupled with the Immersed Boundary Method (IBM) while the particle-particle forces…

From the steady Stokes and Navier-Stokes models, a penalization method has been considered by several authors for approximating those fluid equations around obstacles. In this work, we present a justification for using fictitious domains to…

Analysis of PDEs · Mathematics 2021-08-30 Jorge Aguayo , Hugo Carrillo

Particle methods play an important role in computational fluid dynamics, but they are among the most difficult to implement and solve. The most common method is smoothed particle hydrodynamics, which is suitable for problem settings that…

Fluid Dynamics · Physics 2025-08-26 Masato Shibukawa , Naoya Ozaki , Maximilien Berthet

We study the propagation of monochromatic surface waves on a turbulent flow. The flow is generated in a layer of liquid metal by an electromagnetic forcing. This forcing creates a quasi two-dimensional (2D) turbulence with strong vertical…

Fluid Dynamics · Physics 2015-11-19 Pablo Gutiérrez , Sébastien Aumaitre

Models for prediction of drag forces within a particle cloud following shock-acceleration are evaluated with the aid of results from particle-resolved simulations in order to quantify how much the disturbances introduced by the proximity of…

Fluid Dynamics · Physics 2021-01-11 Andreas Nygård Osnes , Magnus Vartdal

We derive the vorticity equation for an incompressible fluid on a 2-dimensional surface with arbitrary topology embedded in 3-dimensional Euclidean space by using a tailored Clebsch parametrization of the flow. In the inviscid limit, we…

Mathematical Physics · Physics 2022-09-21 Naoki Sato , Michio Yamada

Aerodynamic loads play a central role in many fluid dynamics applications, and we present a method for identifying the structures (or modes) in a flow that make dominant contributions to the time-varying aerodynamic loads in a flow. The…

Fluid Dynamics · Physics 2025-03-05 Suryansh Prakhar , Jung-Hee Seo , Rajat Mittal

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

Modeling flow in geosystems with natural fault is a challenging problem due to low permeability of fault compared to its surrounding porous media. One way to predict the behavior of the flow while taking the effects of fault into account is…

Numerical Analysis · Mathematics 2020-09-11 Youguang Chen , George Biros

This work presents a novel numerical investigation of the dynamics of free-boundary flows of viscoelastic liquid membranes. The governing equation describes the balance of linear momentum, in which the stresses include the viscoelastic…

Fluid Dynamics · Physics 2022-04-12 Valeria Barra , Shawn A. Chester , Shahriar Afkhami

We present a method to simulate fluid flow on evolving surfaces, e.g., an oil film on a water surface. Given an animated surface (e.g., extracted from a particle-based fluid simulation) in three-dimensional space, we add a second simulation…

Graphics · Computer Science 2020-10-08 Dieter Morgenroth , Stefan Reinhardt , Daniel Weiskopf , Bernhard Eberhardt

Hydro-mechanical processes in rough fractures are highly non-linear and govern productivity and associated risks in a wide range of reservoir engineering problems. To enable high-resolution simulations of hydro-mechanical processes in…

To aid in prediction of turbulent boundary layer flows over rough surfaces, a new model is proposed to estimate hydrodynamic roughness based solely on geometric surface information. The model is based on a fluid-mechanics motivated…

Fluid Dynamics · Physics 2024-12-18 Charles Meneveau , Nicholas Hutchins , Daniel Chung