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Related papers: Fluid-structure interaction with NURBS-based coupl…

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Fluid-structure interaction (FSI) problems are pervasive in the computational engineering community. The need to address challenging FSI problems has led to the development of a broad range of numerical methods addressing a variety of…

Numerical Analysis · Mathematics 2024-09-23 Andreas Hessenthaler , Maximilian Balmus , Oliver Röhrle , David Nordsletten

We present a fully implicit formulation of coupled fluid flow and geomechanics for fluid injection/withdrawal in fractured reservoirs in the context of CO2storage. Utilizing a Galerkin finite-element approach, both flow and poroelasticity…

The response of underwater structures to a near-field explosion is coupled with the dynamics of the explosion bubble and the surrounding water. This multiphase fluid-structure interaction process is investigated using a model problem that…

Fluid Dynamics · Physics 2023-09-15 Wentao Ma , Xuning Zhao , Christine Gilbert , Kevin Wang

Liquid structure at solid-liquid interfaces is critical for many natural and engineered processes ranging from biological signal transduction to electrochemical energy conversion. Advanced experimental and computational methods have…

We develop an immersed boundary (IB) method for modeling flows around fixed or moving rigid bodies that is suitable for a broad range of Reynolds numbers, including steady Stokes flow. The spatio-temporal discretization of the fluid…

Numerical Analysis · Mathematics 2016-03-02 B. Kallemov , A. Pal Singh Bhalla , B. E. Griffith , A. Donev

The paper presents a numerical method for simulating flow and mechanics in fractured rock. The governing equations that couple the effects in the rock mass and in the fractures are obtained using the discrete fracture-matrix approach. The…

Numerical Analysis · Mathematics 2024-03-13 Jan Stebel , Jakub Kružík , David Horák , Jan Březina , Michal Béreš

Geometry Independent Field approximaTion (GIFT) was proposed as a generalization of Isogeometric analysis (IGA), where different types of splines are used for the parameterization of the computational domain and approximation of the unknown…

Computational Engineering, Finance, and Science · Computer Science 2022-10-11 Javier Videla , Ahmed Mostafa Shaaban , Elena Atroshchenko

Binary-fluid flows can be modeled using the Navier-Stokes-Cahn-Hilliard equations, which represent the boundary between the fluid constituents by a diffuse interface. The diffuse-interface model allows for complex geometries and topological…

We introduce a varying-order (VO) NURBS discretization method to enhance the performance of the IGA technique for three-dimensional large deformation frictional contact problems. Based on the promising results obtained with the previous…

Numerical Analysis · Mathematics 2025-03-06 Vishal Agrawal

This work focuses on the development and analysis of a partitioned numerical method for moving domain, fluid-structure interaction problems. We model the fluid using incompressible Navier-Stokes equations, and the structure using linear…

Numerical Analysis · Mathematics 2020-07-03 Anyastassia Seboldt , Martina Bukač

Current research efforts in aeroelasticity aim at including higher fidelity aerodynamic results into the simulation frameworks. In the present effort, the Python--based Fluid--Structure Interaction framework of the well known SU2 code has…

Computational Engineering, Finance, and Science · Computer Science 2021-09-28 Nicola Fonzi , Vittorio Cavalieri , Alessandro De Gaspari , Sergio Ricci

Multivariate B-splines and Non-uniform rational B-splines (NURBS) lack adaptivity due to their tensor product structure. Truncated hierarchical B-splines (THB-splines) provide a solution for this. THB-splines organize the parameter space…

Computational Engineering, Finance, and Science · Computer Science 2025-02-04 Andreas Grendas , Benjamin Marussig

The study of viscous fluid flow coupled with rigid or deformable solids has many applications in biological and engineering problems, e.g., blood cell transport, drug delivery, and particulate flow. We developed a partitioned approach to…

Fluid Dynamics · Physics 2018-05-24 Jifu Tan , Talid Sinno , Scott Diamond

In the realm of computer-aided design (CAD) software, the intersection of B-spline surfaces stands as a fundamental operation. Despite the extensive history of surface intersection algorithms, the challenge of handling complex intersection…

Computational Geometry · Computer Science 2026-04-15 Chenming Gao , Hongwei Lin , Gengchen Li

Simulation (molecular dynamics and Car-Parrinello [Phys. Rev. Lett. 55, 2471 (1985)]) and diffraction (x-ray and neutron) studies on nitromethane are compared aiming at the determination of the liquid structure. Beyond that, the…

Soft Condensed Matter · Physics 2017-02-07 Tünde Megyes , Szabolcs Bálint , Tamás Grósz , Tamás Radnai , Imre Bakó , László Almásy

Based on spline manifolds we introduce and study a mathematical framework for analysis-suitable unstructured B-spline spaces. In this setting the parameter domain has a manifold structure, which allows for the definition of function spaces…

Numerical Analysis · Mathematics 2015-07-31 Giancarlo Sangalli , Thomas Takacs , Rafael Vázquez

We use conformal maps to study a free boundary problem for a two-fluid electromechanical system, where the interface between the fluids is determined by the combined effects of electrostatic forces, gravity and surface tension. The free…

Mathematical Physics · Physics 2015-06-19 Stuart Kent , Shankar C. Venkataramani

This paper presents the development of a complete CAD-compatible framework for structural shape optimization in 3D. The boundaries of the domain are described using NURBS while the interior is discretized with B\'ezier tetrahedra. The…

Computational Engineering, Finance, and Science · Computer Science 2024-01-01 Jorge López , Cosmin Anitescu , Timon Rabczuk

We present an implicit, fully-coupled hydro-mechanical solver for the three dimensional simulation of fluid-driven rupture propagation along existing discontinuities. The solver handles simultaneously frictional slip (shear failure) and…

Many biological examples of fluid-structure interaction, including the transit of red blood cells through the narrow slits in the spleen and the intracellular trafficking of vesicles into dendritic spines, involve the near-contact of…

Numerical Analysis · Mathematics 2017-12-20 Thomas G. Fai , Chris H. Rycroft
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