A moving control volume approach to computing hydrodynamic forces and torques on immersed bodies

Nangia, Nishant; Johansen, Hans; Patankar, Neelesh A.; Bhalla, Amneet Pal Singh

doi:10.1016/j.jcp.2017.06.047

Cited by 28 publications

(11 citation statements)

References 60 publications

(158 reference statements)

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“…The mesh resolution on the cylinder surface is approximately 0.01D. We validate the results of our simulation by comparing the evolution of the drag coefficient with the numerical results of Bergmann and Iollo [55] and Nangia et al [50]. The drag coefficient along the flow direction is defined as…”

Section: Impulsive Flow Over a Cylindersupporting

confidence: 53%

“…These coefficients are defined analogous to C D by using horizontal component of viscous and pressure forces, respectively. Note that both prior studies [55,50] compute the net hydrodynamic force on the body in an extrinsic manner, i.e. indirectly through momentumconservation principle, whereas we compute it directly in an intrinsic manner by integrating the hydrodynamic stress tensor on the surface of the body.…”

Section: Impulsive Flow Over a Cylindermentioning

confidence: 99%

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A one-sided direct forcing immersed boundary method using moving least squares

Bale,

Bhalla,

Griffith

et al. 2021

Preprint

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This paper presents a one-sided immersed boundary (IB) method using kernel functions constructed via a moving least squares (MLS) method. The resulting kernels effectively couple structural degrees of freedom to fluid variables on only one side of the fluid-structure interface. This reduces spurious feedback forcing and internal flows that are typically observed in IB models that use isotropic kernel functions to couple the structure to fluid degrees of freedom on both sides of the interface. The method developed here extends the original MLS methodology introduced by Vanella and Balaras (J Comput Phys, 2009). Prior IB/MLS methods have used isotropic kernel functions that coupled fluid variables on both sides of the boundary to the interfacial degrees of freedom. The original IB/MLS approach converts the cubic spline weights typically employed in MLS reconstruction into an IB kernel function that satisfies particular discrete moment conditions. This paper shows that the same approach can be used to construct one-sided kernel functions (kernel functions are referred to as generating functions in the MLS literature). We also examine the performance of the new approach for a family of kernel functions introduced by Peskin. It is demonstrated that the one-sided MLS construction tends to generate non-monotone interpolation kernels with large over-and undershoots. We present two simple weight shifting strategies to construct generating functions that are positive and monotone, which enhances the stability of the resulting IB methodology. Benchmark cases are used to test the order of accuracy and verify the one-sided IB/MLS simulations in both two and three spatial dimensions. This new IB/MLS method is also used to simulate flow over the Ahmed car model, which highlights the applicability of this methodology for modeling complex engineering flows.

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Section: Impulsive Flow Over a Cylindersupporting

confidence: 53%

Section: Impulsive Flow Over a Cylindermentioning

confidence: 99%

A one-sided direct forcing immersed boundary method using moving least squares

Bale,

Bhalla,

Griffith

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…This formulation can be extended to treat structures with prescribed deformational kinematics, including both rigid and deforming bodies (Glowinski et al 1999, Patankar et al 2000, Sharma & Patankar 2005, Apte et al 2009, Shirgaonkar et al 2009, Bhalla et al 2013, Balboa Usabiaga et al 2016, Nangia et al 2017b).…”

Section: Constrained Kinematicsmentioning

confidence: 99%

Immersed Methods for Fluid–Structure Interaction

Griffith

Patankar

2020

Annu. Rev. Fluid Mech.

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216

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Fluid–structure interaction is ubiquitous in nature and occurs at all biological scales. Immersed methods provide mathematical and computational frameworks for modeling fluid–structure systems. These methods, which typically use an Eulerian description of the fluid and a Lagrangian description of the structure, can treat thin immersed boundaries and volumetric bodies, and they can model structures that are flexible or rigid or that move with prescribed deformational kinematics. Immersed formulations do not require body-fitted discretizations and thereby avoid the frequent grid regeneration that can otherwise be required for models involving large deformations and displacements. This article reviews immersed methods for both elastic structures and structures with prescribed kinematics. It considers formulations using integral operators to connect the Eulerian and Lagrangian frames and methods that directly apply jump conditions along fluid–structure interfaces. Benchmark problems demonstrate the effectiveness of these methods, and selected applications at Reynolds numbers up to approximately 20,000 highlight their impact in biological and biomedical modeling and simulation.

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“…The fluid-induced torque can be determined in a similar manner; however, we do not consider it in this work (see Ref. [32] for more details on the torque computation).…”

Section: Governing Equationsmentioning

confidence: 99%

Computation of Hydrodynamic and Capillary Phenomena in Binder Jet Three-Dimensional Printing

Wagner

Higgs

2021

Journal of Tribology

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The fundamental operation in binder jet 3D printing is the deposition of liquid binder into a powder layer to selectively bond particles together. Upon droplet impact, the binder spreads into the powder bed forming a bound network of wetted particles called a primitive. A computational fluid dynamics framework is proposed to directly simulate the capillary and hydrodynamic effects of the interfacial flow that is responsible for primitive formation. The computational model uses the volume-of-fluid method for capturing dynamic binder-air interfaces, and the immersed boundary method is adopted to include particle geometries on numerical Cartesian grids. Three-phase contact angles are prescribed through an interface extension algorithm. Binder droplet impact on powder beds of varying contact angle are simulated. Furthermore, the numerical model is used to simulate liquid bridges connecting binary and ternary particle systems, and the resulting capillary and hydrodynamic forces are validated by comparison with published experimental and theoretical model results.

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A moving control volume approach to computing hydrodynamic forces and torques on immersed bodies

Cited by 28 publications

References 60 publications

A one-sided direct forcing immersed boundary method using moving least squares

A one-sided direct forcing immersed boundary method using moving least squares

Immersed Methods for Fluid–Structure Interaction

Computation of Hydrodynamic and Capillary Phenomena in Binder Jet Three-Dimensional Printing

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