An immersed boundary method for fluid-structure interaction based on variational transfer

Nestola, Maria Giuseppina Chiara; Becsek, Barna Errol Mario; Zolfaghari, Hadi; Zulian, Patrick; Marinis, Dario De; Krause, Rolf; Obrist, Dominik

doi:10.1016/j.jcp.2019.108884

Cited by 39 publications

(35 citation statements)

References 40 publications

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“…To this end, we designed a computational model of a BHV in an anatomically correct model of an AR. The governing equations were solved with a FSI solver (Nestola et al, 2019) which comprises a finite-element structural solver for soft tissue and a high-order Navier-Stokes solver that has been designed for the study of laminar-turbulent transition (e.g., Obrist et al, 2012;John et al, 2016). The FSI solver was verified and validated for canonical benchmarks in Nestola et al (2019).…”

Section: Discussionmentioning

confidence: 99%

Turbulent Systolic Flow Downstream of a Bioprosthetic Aortic Valve: Velocity Spectra, Wall Shear Stresses, and Turbulent Dissipation Rates

2020

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Section: Discussionmentioning

confidence: 99%

Turbulent Systolic Flow Downstream of a Bioprosthetic Aortic Valve: Velocity Spectra, Wall Shear Stresses, and Turbulent Dissipation Rates

2020

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“…We use an adapted immersed boundary approach following [16,30,29,32]. In our approach, the FSI problem is solved separately for the fluid and the solid in a fixed point iteration using finite elements.…”

Section: Methods and Governing Equationsmentioning

confidence: 99%

“…The mappings between the domains are realized as volumetric variational transfer operators explained in subsection 2.4. Note, that while we employ the same principles as [16], [30] or [29], our adaption differs from these methods, as we do not use Lagrange multipliers, but a penalty method to enforce the equality of solid and fluid velocities. We denote the fluid domain with Ω f ⊂ R 3 , the moving solid domain depending on time t with Ω t s ⊂ Ω f , the boundary of the fluid domain with Γ f and the boundary of the solid domain with Γ t s .…”

Section: Methods and Governing Equationsmentioning

confidence: 99%

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Simulation of hydro-mechanically coupled processes in rough rock fractures using an immersed boundary method and variational transfer operators

et al. 2019

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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 fractures, we present an adaptation of an immersed boundary method to compute fluid flow between rough fracture surfaces. The solid domain is immersed into the fluid domain and both domains are coupled by means of variational volumetric transfer operators. The transfer operators implicitly resolve the boundary between the solid and the fluid, which simplifies the setup of fracture simulations with complex surfaces. It is possible to choose different formulations and discretization schemes for each subproblem and it is not necessary to remesh the fluid grid. We use benchmark problems and real fracture geometries to demonstrate the following capabilities of the presented approach: (1) Resolving the boundary of the rough 1 arXiv:1812.08572v2 [physics.geo-ph] 8 Aug 2019 fracture surface in the fluid; (2) Capturing fluid flow field changes in a fracture which closes under increasing normal load; and (3) Simulating the opening of a fracture due to increased fluid pressure.

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“…FD methods are also flexible in as much as they enable different formulations of the solid and the fluid problem. This is demonstrated in this article, where we have extended the approach in [41,49,67] to include a mortar-based contact method [66] in the solid problem and an augmented Lagrangian method for the coupling in the fluid problem. We formulate the solid problem with linear elasticity and linearized contact conditions, whereas for the fluid problem we use the incompressible Navier Stokes equations.…”

Section: Introductionmentioning

confidence: 99%

Modelling of hydro-mechanical processes in heterogeneous fracture intersections using a fictitious domain method with variational transfer operators

Planta¹,

Vogler²,

Chen³

et al. 2020

Comput Geosci

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Fluid flow in rough fractures and the coupling with the mechanical behaviour of the fractures pose great difficulties for numerical modelling approaches, due to complex fracture surface topographies, the nonlinearity of hydromechanical processes and their tightly coupled nature. To this end, we have adapted a fictitious domain method to enable the simulation of hydromechanical processes in fracture-intersections. The main characteristic of the method is the immersion of the fracture, modelled as a linear elastic solid, in the surrounding computational fluid domain, modelled with the incompressible Navier Stokes equations. The fluid and the solid problems are coupled with variational transfer operators. Variational transfer operators are also used to solve contact within the fracture using a dual mortar approach and to generate problem specific fluid meshes. With respect to our applications, the key features of the method are the usage of different finite element discretizations for the solid and the fluid problem and the automatically generated representation of the fluid-solid boundary. We demonstrate that the presented methodology resolves small-scale roughness on the fracture surface, while capturing fluid flow field changes during mechanical loading. Starting with 2D/3D benchmark simulations of intersected fractures, we end with an intersected fracture composed of complex 1 fracture surface topographies, which are in contact under increasing loads. The contributions of this article are: (1) the application of the fictitious domain method to study flow in fractures with intersections, (2) a mortar based contact solver for the solid problem, (3) generation of problem specific grids using the geometry information from the variational transfer operators.

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An immersed boundary method for fluid-structure interaction based on variational transfer

Cited by 39 publications

References 40 publications

Turbulent Systolic Flow Downstream of a Bioprosthetic Aortic Valve: Velocity Spectra, Wall Shear Stresses, and Turbulent Dissipation Rates

Turbulent Systolic Flow Downstream of a Bioprosthetic Aortic Valve: Velocity Spectra, Wall Shear Stresses, and Turbulent Dissipation Rates

Simulation of hydro-mechanically coupled processes in rough rock fractures using an immersed boundary method and variational transfer operators

Modelling of hydro-mechanical processes in heterogeneous fracture intersections using a fictitious domain method with variational transfer operators

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