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Journal articles on the topic 'Fluid-structure interaction – Mathematical models'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Griffith, Boyce E., and Neelesh A. Patankar. "Immersed Methods for Fluid–Structure Interaction." Annual Review of Fluid Mechanics 52, no. 1 (January 5, 2020): 421–48. http://dx.doi.org/10.1146/annurev-fluid-010719-060228.

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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 tha

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2

Benaroya, Haym, and Rene D. Gabbai. "Modelling vortex-induced fluid–structure interaction." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 366, no. 1868 (November 5, 2007): 1231–74. http://dx.doi.org/10.1098/rsta.2007.2130.

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The principal goal of this research is developing physics-based, reduced-order, analytical models of nonlinear fluid–structure interactions associated with offshore structures. Our primary focus is to generalize the Hamilton's variational framework so that systems of flow-oscillator equations can be derived from first principles. This is an extension of earlier work that led to a single energy equation describing the fluid–structure interaction. It is demonstrated here that flow-oscillator models are a subclass of the general, physical-based framework. A flow-oscillator model is a reduced-orde

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3

Surana, K. S., B. Blackwell, M. Powell, and J. N. Reddy. "Mathematical models for fluid–solid interaction and their numerical solutions." Journal of Fluids and Structures 50 (October 2014): 184–216. http://dx.doi.org/10.1016/j.jfluidstructs.2014.06.023.

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4

Lopes, D., H. Puga, J. C. Teixeira, and S. F. Teixeira. "Fluid–Structure Interaction study of carotid blood flow: Comparison between viscosity models." European Journal of Mechanics - B/Fluids 83 (September 2020): 226–34. http://dx.doi.org/10.1016/j.euromechflu.2020.05.010.

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5

Marom, Gil. "Numerical Methods for Fluid–Structure Interaction Models of Aortic Valves." Archives of Computational Methods in Engineering 22, no. 4 (October 2, 2014): 595–620. http://dx.doi.org/10.1007/s11831-014-9133-9.

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6

Tello, Alexis, Ramon Codina, and Joan Baiges. "Fluid structure interaction by means of variational multiscale reduced order models." International Journal for Numerical Methods in Engineering 121, no. 12 (February 27, 2020): 2601–25. http://dx.doi.org/10.1002/nme.6321.

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7

Larsson, Jonas. "A new Hamiltonian formulation for fluids and plasmas. Part 2. MHD models." Journal of Plasma Physics 55, no. 2 (April 1996): 261–78. http://dx.doi.org/10.1017/s0022377800018821.

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The new Hamiltonian formulation of the perfect fluid equations presented in part 1 of this series of papers is generalized to a class of IVIHD models, including for example ideal MHD and the Chew–Goldberger–Low equations. The mathematical structure is to a great extent unchanged by this generalization, and most results about the small-amplitude expansion of the perfect fluid equations remain obviously valid. For example, we now have a rigorous proof of the Manley-Rowe relations in resonant three-wave interaction, valid for this class of MHD models and for quite general inhomogeneous but statio

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Cottet, Georges-Henri, Emmanuel Maitre, and Thomas Milcent. "Eulerian formulation and level set models for incompressible fluid-structure interaction." ESAIM: Mathematical Modelling and Numerical Analysis 42, no. 3 (April 3, 2008): 471–92. http://dx.doi.org/10.1051/m2an:2008013.

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9

Desjardins, B., and M. J. Esteban. "On Weak Solutions for Fluid‐Rigid Structure Interaction: Compressible and Incompressible Models." Communications in Partial Differential Equations 25, no. 7-8 (January 1999): 263–85. http://dx.doi.org/10.1080/03605300008821553.

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10

Colciago, C. M., S. Deparis, and A. Quarteroni. "Comparisons between reduced order models and full 3D models for fluid–structure interaction problems in haemodynamics." Journal of Computational and Applied Mathematics 265 (August 2014): 120–38. http://dx.doi.org/10.1016/j.cam.2013.09.049.

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11

Lara, Javier L., Inigo J. Losada, Gabriel Barajas, Maria Maza, and Benedetto Di Paolo. "RECENT ADVANCES IN 3D MODELLING OF WAVE-STRUCTURE INTERACTION WITH CFD MODELS." Coastal Engineering Proceedings, no. 36 (December 30, 2018): 91. http://dx.doi.org/10.9753/icce.v36.waves.91.

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Numerical modelling of the interaction of water waves with coastal structures has continuously been among the most relevant challenges in coastal engineering research and practice. During the last years, 3D modelling based on RANS-type equations, has been the dominant methodology to address the mathematical modelling of wave and coastal structure interaction. However, the three-dimensionality of many flowstructure interactions processes demands overcoming existing modelling limitations. Under some circumstances relevant three-dimensional processes are still tackled using physical modelling. It

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12

Tang, Aik Ying, and Norsarahaida Amin. "Some Numerical Approaches to Solve Fluid Structure Interaction Problems in Blood Flow." Abstract and Applied Analysis 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/549189.

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Some numerical approaches to solve fluid structure interaction problems in blood flow are reviewed. Fluid structure interaction is the interaction between a deformable structure with either an internal or external flow. A discussion on why the compliant artery associated with fluid structure interaction should be taken into consideration in favor of the rigid wall model being included. However, only the Newtonian model of blood is assumed, while various structure models which include, amongst others, generalized string models and linearly viscoelastic Koiter shell model that give a more realis

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13

Ballarin, Francesco, and Gianluigi Rozza. "POD-Galerkin monolithic reduced order models for parametrized fluid-structure interaction problems." International Journal for Numerical Methods in Fluids 82, no. 12 (June 21, 2016): 1010–34. http://dx.doi.org/10.1002/fld.4252.

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14

Kamenskiy, Alexey V., Iraklis I. Pipinos, Yuris A. Dzenis, Prateek K. Gupta, Syed A. Jaffar Kazmi, and Jason N. MacTaggart. "A mathematical evaluation of hemodynamic parameters after carotid eversion and conventional patch angioplasty." American Journal of Physiology-Heart and Circulatory Physiology 305, no. 5 (September 1, 2013): H716—H724. http://dx.doi.org/10.1152/ajpheart.00034.2013.

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Carotid endarterectomy has a long history in stroke prevention, yet controversy remains concerning optimal techniques. Two methods frequently used are endarterectomy with patch angioplasty (CEAP) and eversion endarterectomy (CEE). The objective of this study was to compare hemodynamics-related stress and strain distributions between arteries repaired using CEAP and CEE. Mathematical models were based on in vivo three-dimensional arterial geometry, pulsatile velocity profiles, and intraluminal pressure inputs obtained from 16 patients with carotid artery disease. These data were combined with e

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15

Wang, Xiaojing, Guojia Man, and Mengjian Zhang. "Research on the leakage of continuous rotary electro-hydraulic servo motor based on fluid structure interaction analysis." Industrial Lubrication and Tribology 70, no. 3 (April 9, 2018): 544–51. http://dx.doi.org/10.1108/ilt-03-2017-0064.

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Purpose Internal leakage is one of the key factors that influence the super-low speed performance of continuous rotary electro-hydraulic servo motor. Therefore, this paper aims to study the change rule of internal leakage for improving the low speed performance of motor. Design/methodology/approach The mathematical models of internal leakage of continuous rotary electro-hydraulic servo motor were established, and according to the working principle of the motor, the 3D models of internal leakage location were established. Simulation analysis was implemented on the continuous rotary electro-hydr

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16

Weinstein, Alan M. "Mathematical models of renal fluid and electrolyte transport: acknowledging our uncertainty." American Journal of Physiology-Renal Physiology 284, no. 5 (May 1, 2003): F871—F884. http://dx.doi.org/10.1152/ajprenal.00330.2002.

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Mathematical models of renal tubular function, with detail at the cellular level, have been developed for most nephron segments, and these have generally been successful at capturing the overall bookkeeping of solute and water transport. Nevertheless, considerable uncertainty remains about important transport events along the nephron. The examples presented include the role of proximal tubule tight junctions in water transport and in regulation of Na+ transport, the mechanism by which axial flow in proximal tubule modulates solute reabsorption, the effect of formate on proximal Cl− transport,

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17

Chen, Mingqiang, Linsong Cheng, Renyi Cao, and Chaohui Lyu. "A Study to Investigate Fluid-Solid Interaction Effects on Fluid Flow in Micro Scales." Energies 11, no. 9 (August 22, 2018): 2197. http://dx.doi.org/10.3390/en11092197.

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Due to micro-nanopores in tight formation, fluid-solid interaction effects on fluid flow in porous media cannot be ignored. In this paper, a novel model which can characterize micro-fluid flow in micro scales is proposed. This novel model has a more definite physical meaning compared with other empirical models. And it is validated by micro tube experiments. In addition, the application range of the model is rigorously analyzed from a mathematical view, which indicates a wider application scope. Based on the novel model, the velocity profile, the average flow velocity and flow resistance in co

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18

Colicchio, G., M. Greco, M. Brocchini, and O. M. Faltinsen. "Hydroelastic behaviour of a structure exposed to an underwater explosion." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 373, no. 2033 (January 28, 2015): 20140103. http://dx.doi.org/10.1098/rsta.2014.0103.

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The hydroelastic interaction between an underwater explosion and an elastic plate is investigated num- erically through a domain-decomposition strategy. The three-dimensional features of the problem require a large computational effort, which is reduced through a weak coupling between a one-dimensional radial blast solver, which resolves the blast evolution far from the boundaries, and a three-dimensional compressible flow solver used where the interactions between the compression wave and the boundaries take place and the flow becomes three-dimensional. The three-dimensional flow solver at th

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19

Sadeghi, J., M. Khurshudyan, and H. Farahani. "Interacting ghost dark energy models in the higher dimensional cosmology." International Journal of Modern Physics D 25, no. 14 (December 2016): 1650108. http://dx.doi.org/10.1142/s021827181650108x.

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We investigate interacting ghost dark energy models in higher dimensional cosmology. We attempt to model dark matter within a barotropic fluid with [Formula: see text]. In this work, we consider four different models based on choosing equation of state (EoS) parameter and interaction term. We confirm that our models agree with observational data.

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20

Bouaanani, Najib, Patrick Paultre, and Jean Proulx. "Dynamic response of a concrete dam impounding an ice-covered reservoir: Part I. Mathematical modelling." Canadian Journal of Civil Engineering 31, no. 6 (December 1, 2004): 956–64. http://dx.doi.org/10.1139/l04-075.

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This paper examines the dynamic response of a concrete dam impounding an ice-covered reservoir and subjected to forced-vibration testing. The analytical research presented is a follow-up to an extensive dynamic testing program carried out on a 84-m high concrete gravity dam located in northeastern Quebec, Canada, under harsh winter conditions, including a 1.0- to 1.5-m-thick ice sheet covering the reservoir. One of the major challenges encountered when analyzing ice-dam-reservoir-foundation interaction is modelling the complex nature of the ice and the boundary conditions governing reservoir m

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21

Jiang, Qinglei, Lulu Zhai, Leqin Wang, and Dazhuan Wu. "Fluid-Structure Interaction Analysis on Turbulent Annular Seals of Centrifugal Pumps during Transient Process." Mathematical Problems in Engineering 2011 (2011): 1–22. http://dx.doi.org/10.1155/2011/929574.

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The current paper studies the influence of annular seal flow on the transient response of centrifugal pump rotors during the start-up period. A single rotor system and three states of annular seal flow were modeled. These models were solved using numerical integration and finite difference methods. A fluid-structure interaction method was developed. In each time step one of the three annular seal models was chosen to simulate the annular seal flow according to the state of rotor systems. The objective was to obtain a transient response of rotor systems under the influence of fluid-induced forc

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22

Drobakha, Hr, I. Neklonskyi, A. Kateshchenok, V. Sobyna, D. Taraduda, L. Borysova, and I. Lysachenko. "Structural and functional simulation of interaction in the field of aviation safety by using matrices." Archives of Materials Science and Engineering 2, no. 95 (February 1, 2019): 74–84. http://dx.doi.org/10.5604/01.3001.0013.1734.

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Purpose: The conducted research was aimed at constructing a structural and functional model for the interaction of bodies providing aviation safety during crisis management. Design/methodology/approach: The methods of mathematical simulation and the graph theory, the methods comparison and formalization have been applied to study the process of interaction between the bodies assuring aviation safety. Using methods of the linear algebra allowed constructing a mathematical model for the functional structure of the interaction process that contains description of this process by the main methods

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23

Ellam, L., M. Girolami, G. A. Pavliotis, and A. Wilson. "Stochastic modelling of urban structure." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474, no. 2213 (May 2018): 20170700. http://dx.doi.org/10.1098/rspa.2017.0700.

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The building of mathematical and computer models of cities has a long history. The core elements are models of flows (spatial interaction) and the dynamics of structural evolution. In this article, we develop a stochastic model of urban structure to formally account for uncertainty arising from less predictable events. Standard practice has been to calibrate the spatial interaction models independently and to explore the dynamics through simulation. We present two significant results that will be transformative for both elements. First, we represent the structural variables through a single po

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24

Falahati, M., and M. Behdarvandi Askar. "Seismic Performance of the Pier Considering Structural-Fluid Interaction with ANSYS Software." Journal of Applied Engineering Sciences 7, no. 2 (December 1, 2017): 25–30. http://dx.doi.org/10.1515/jaes-2017-0009.

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Abstract In the present study, as the calculation of forces on the cylindrical structures of the sea has a special complexity, Morrison's mathematical model was used in the software. In addition, the kinematics of water particles is estimated to calculate their acceleration from the fifth-order non-static wave theory (Fenton method). In this paper, the analysis of the pier performance considering structural-fluid interaction using ANSYS soft is presented. Five models with the same period were considered and different wave heights and two different earthquake records of Tabas and Northwich were

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25

Petruk, O. O., O. T. Vavryk, O. S. Tsareva, and L. M. Hobyr. "MODEL REPRESENTATIONS OF THE MELTS STRUCTURE DESCRIPTION BY THE MODEL OF HARD SPHERES." PRECARPATHIAN BULLETIN OF THE SHEVCHENKO SCIENTIFIC SOCIETY Number, no. 1(59) (January 28, 2021): 72–78. http://dx.doi.org/10.31471/2304-7399-2020-1(59)-72-78.

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In the article the optimization of the oil and gas enterprise, a complex process both from the technological and from the economic point of view is investigated. It is noted that today the development of methods of mathematical modeling of physical processes, for example, in oil fields on the basis of theoretical research and modern computer technology is absolutely relevant One of the ways is to create new or improve existing mathematical models of processes occurring in oil and gas reservoirs, and calculate on their basis the characteristics of the process that optimize production. Fro

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26

Laugesen, Jakob L., Olga V. Sosnovtseva, Erik Mosekilde, Niels-Henrik Holstein-Rathlou, and Donald J. Marsh. "Coupling-induced complexity in nephron models of renal blood flow regulation." American Journal of Physiology-Regulatory, Integrative and Comparative Physiology 298, no. 4 (April 2010): R997—R1006. http://dx.doi.org/10.1152/ajpregu.00714.2009.

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Tubular pressure and nephron blood flow time series display two interacting oscillations in rats with normal blood pressure. Tubuloglomerular feedback (TGF) senses NaCl concentration in tubular fluid at the macula densa, adjusts vascular resistance of the nephron's afferent arteriole, and generates the slower, larger-amplitude oscillations (0.02–0.04 Hz). The faster smaller oscillations (0.1–0.2 Hz) result from spontaneous contractions of vascular smooth muscle triggered by cyclic variations in membrane electrical potential. The two mechanisms interact in each nephron and combine to act as a h

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27

Zhekov, Svetozar A., A. V. Myasnikov, and N. A. Belov. "Radiative colliding winds models: the stagnation point singularity." Symposium - International Astronomical Union 193 (1999): 402. http://dx.doi.org/10.1017/s0074180900205949.

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The singularity at the stagnation point in steady-state colliding winds has a big influence on the structure of the radiative interaction region. None of the existing numerical models treats properly this mathematical problem. As a result, all the available models cannot be used for deriving the stellar winds parameters by making a comparison with the observed X-ray properties.

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28

Bayly, P. V., and S. K. Dutcher. "Steady dynein forces induce flutter instability and propagating waves in mathematical models of flagella." Journal of The Royal Society Interface 13, no. 123 (October 2016): 20160523. http://dx.doi.org/10.1098/rsif.2016.0523.

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Cilia and flagella are highly conserved organelles that beat rhythmically with propulsive, oscillatory waveforms. The mechanism that produces these autonomous oscillations remains a mystery. It is widely believed that dynein activity must be dynamically regulated (switched on and off, or modulated) on opposite sides of the axoneme to produce oscillations. A variety of regulation mechanisms have been proposed based on feedback from mechanical deformation to dynein force. In this paper, we show that a much simpler interaction between dynein and the passive components of the axoneme can produce c

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Rejniak, Katarzyna A., and Lisa J. McCawley. "Current trends in mathematical modeling of tumor–microenvironment interactions: a survey of tools and applications." Experimental Biology and Medicine 235, no. 4 (April 2010): 411–23. http://dx.doi.org/10.1258/ebm.2009.009230.

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In its simplest description, a tumor is comprised of an expanding population of transformed cells supported by a surrounding microenvironment termed the tumor stroma. The tumor microcroenvironment has a very complex composition, including multiple types of stromal cells, a dense network of various extracellular matrix (ECM) fibers interpenetrated by the interstitial fluid and gradients of several chemical species that either are dissolved in the fluid or are bound to the ECM structure. In order to study experimentally such complex interactions between multiple players, cancer is dissected and

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30

Schiffer, Andreas, and Vito L. Tagarielli. "The response of rigid plates to blast in deep water: fluid–structure interaction experiments." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468, no. 2145 (May 9, 2012): 2807–28. http://dx.doi.org/10.1098/rspa.2012.0076.

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Laboratory-scale dynamic experiments are performed in order to explore the one-dimensional response of unsupported rigid plates to loading by exponentially decaying planar shock waves in deep water. Experiments are conducted in a transparent shock tube allowing measurements of plate motion and imparted impulse, as well as observation of cavitation in water, including motion of breaking fronts and closing fronts. Loading of both air-backed and water-backed rigid plates is examined, and the sensitivity of plate motion and imparted impulse to the structural mass and to the initial hydrostatic pre

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31

Wang, Na, Akbar Maleki, Mohammad Alhuyi Nazari, Iskander Tlili, and Mostafa Safdari Shadloo. "Thermal Conductivity Modeling of Nanofluids Contain MgO Particles by Employing Different Approaches." Symmetry 12, no. 2 (February 1, 2020): 206. http://dx.doi.org/10.3390/sym12020206.

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The existence of solid-phase nanoparticles remarkably improves the thermal conductivity of the fluids. The enhancement in this property of the nanofluids is affected by different items such as the solid-phase volume fraction and dimensions, temperature, etc. In the current paper, three different mathematical models, including polynomial correlation, Multivariate Adaptive Regression Spline (MARS), and Group Method of Data Handling (GMDH), are applied to forecast the thermal conductivity of nanofluids containing MgO particles. The inputs of the model are the base fluid thermal conductivity, volu

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32

Lukkarinen, Jani. "Multi-state Condensation in Berlin–Kac Spherical Models." Communications in Mathematical Physics 373, no. 1 (December 24, 2019): 389–433. http://dx.doi.org/10.1007/s00220-019-03659-2.

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AbstractWe consider the Berlin–Kac spherical model for supercritical densities under a periodic lattice energy function which has finitely many non-degenerate global minima. Energy functions arising from nearest neighbour interactions on a rectangular lattice have a unique minimum, and in that case the supercritical fraction of the total mass condenses to the ground state of the energy function. We prove that for any sufficiently large lattice size this also happens in the case of multiple global minima, although the precise distribution of the supercritical mass and the structure of the conde

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33

Guerin, Heather Anne L., and Dawn M. Elliott. "The Role of Fiber-Matrix Interactions in a Nonlinear Fiber-Reinforced Strain Energy Model of Tendon." Journal of Biomechanical Engineering 127, no. 2 (November 18, 2004): 345–50. http://dx.doi.org/10.1115/1.1865212.

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The objective of this study was to develop a nonlinear and anisotropic three-dimensional mathematical model of tendon behavior in which the structural components of fibers, matrix, and fiber-matrix interactions are explicitly incorporated and to use this model to infer the contributions of these structures to tendon mechanical behavior. We hypothesized that this model would show that: (i) tendon mechanical behavior is not solely governed by the isotropic matrix and fiber stretch, but is also influenced by fiber-matrix interactions; and (ii) shear fiber-matrix interaction terms will better desc

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Dallon, J. C., E. J. Evans, and H. Paul Ehrlich. "A mathematical model of collagen lattice contraction." Journal of The Royal Society Interface 11, no. 99 (October 6, 2014): 20140598. http://dx.doi.org/10.1098/rsif.2014.0598.

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Two mathematical models for fibroblast–collagen interaction are proposed which reproduce qualitative features of fibroblast-populated collagen lattice contraction. Both models are force based and model the cells as individual entities with discrete attachment sites; however, the collagen lattice is modelled differently in each model. In the collagen lattice model, the lattice is more interconnected and formed by triangulating nodes to form the fibrous structure. In the collagen fibre model, the nodes are not triangulated, are less interconnected, and the collagen fibres are modelled as a strin

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Piwowarczyk, Marek. "Two Models of the Subject–Properties Structure." Axiomathes 30, no. 4 (November 9, 2019): 371–90. http://dx.doi.org/10.1007/s10516-019-09463-w.

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Abstract In the paper I discuss the problem of the nature of the relationship between objects and their properties. There are three contexts of the problem: of comparison, of change and of interaction. Philosophical explanations of facts indicated in the three contexts need reference to properties and to a proper understanding of a relationship between them and their bearers. My aim is to get closer to this understanding with the use of some models but previously I present the substantialist theory of object and shortly argue for its main theses. The two models enabling us the understanding of

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Vu-Quoc, L., and M. Olsson. "High-Speed Vehicle Models Based on a New Concept of Vehicle/Structure Interaction Component: Part I—Formulation." Journal of Dynamic Systems, Measurement, and Control 115, no. 1 (March 1, 1993): 140–47. http://dx.doi.org/10.1115/1.2897389.

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High-speed vehicle/structure models constructed based on a new formulation of dynamic interaction between high-speed vehicles and flexible guideways are presented. A basic vehicle/structure interaction model forms a basic building block of complex vehicle/structure models in which lumped-parameter sub-components of the vehicle component (e.g., suspended masses with springs and dashpots) are assembled onto the basic vehicle/structure interaction component. A vertical and an inclined vehicle models are formulated. These vehicle models can serve as yet more advanced building-block models in the h

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Pavlovska, M. O. "BLOOD PRESSURE, HYPOCHONDRIA AND DEPRESSION: MATHEMATICAL MODELS OF RELATIONSHIP." International Medical Journal, no. 4(104) (December 24, 2020): 12–20. http://dx.doi.org/10.37436/2308-5274-2020-4-2.

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Modern clinical diagnostics has standards and medical systems for the diagnosis of hypertension, advanced information technology. Mathematical models of the relationship between systolic blood pressure and psychological indices of hypochondria and depression have been described. Methods of mathematical statistics were applied as follows: factor, cluster, discriminant, regression analyzes, Markov chains, polynomial splines and neural networks, they were implemented in software products, such as NeuroModelDBPM, "Monitoring", VerMed. The presented model of interaction of systolic arterial pressur

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Cao, Yihua, Shuai Nie, and Zhenlong Wu. "Numerical simulation of parachute inflation: A methodological review." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 233, no. 2 (May 12, 2017): 736–66. http://dx.doi.org/10.1177/0954410017705900.

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The parachute inflation process involves fluid–structure interaction problems posing several mathematical and engineering challenges, e.g. accurate aerodynamics calculations for bluff-body geometries involving with moving boundary, appropriate structural models in predicting the behavior of canopy, and realization of the coupling between the fluid and structure. These challenges attract the attention of scholars worldwide, and considerable achievements have been obtained in applying numerical methods and simulations to design multifarious parachutes. In this paper, the authors highlight the ad

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GRIFFITH, BOYCE E., XIAOYU LUO, DAVID M. McQUEEN, and CHARLES S. PESKIN. "SIMULATING THE FLUID DYNAMICS OF NATURAL AND PROSTHETIC HEART VALVES USING THE IMMERSED BOUNDARY METHOD." International Journal of Applied Mechanics 01, no. 01 (March 2009): 137–77. http://dx.doi.org/10.1142/s1758825109000113.

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The immersed boundary method is both a general mathematical framework and a particular numerical approach to problems of fluid-structure interaction. In the present work, we describe the application of the immersed boundary method to the simulation of the fluid dynamics of heart valves, including a model of a natural aortic valve and a model of a chorded prosthetic mitral valve. Each valve is mounted in a semi-rigid flow chamber. In the case of the mitral valve, the flow chamber is a circular pipe, and in the case of the aortic valve, the flow chamber is a model of the aortic root. The model v

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Bouaanani, Najib, Patrick Paultre, and Jean Proulx. "Dynamic response of a concrete dam impounding an ice-covered reservoir: Part II. Parametric and numerical study." Canadian Journal of Civil Engineering 31, no. 6 (December 1, 2004): 965–76. http://dx.doi.org/10.1139/l04-076.

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This paper presents a numerical and parametric study of the effect of an ice cover on the dynamic response of a concrete dam using the approach proposed in the companion paper in this issue. The method was programmed and implemented in a finite element code specialized for the seismic analysis of concrete dams. The 84-m-high Outardes 3 concrete gravity dam in northeastern Quebec was chosen as a model for this research. Some basic aspects of the numerical model are established in this paper and we show that the ice cover affects the dynamic response of the ice–dam–reservoir system. Main feature

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Wang, Zhikai, Xiongliang Yao, Nana Yang, and Zhenhuan Xu. "Simulation of Fluid and Structure Interface with Immersed Boundary–Lattice Boltzmann Method Involving Turbulence Models." Mathematical Problems in Engineering 2018 (2018): 1–12. http://dx.doi.org/10.1155/2018/4072758.

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The multiple-relaxation-time (MRT) version of the immersed boundary–lattice Boltzmann (IB-LB) method is developed to simulate fluid-structure interfaces. The innovations include the implicit velocity correction to ensure no-slip boundary conditions and the incorporated Smagorinsky’s algebraic eddy viscosity for simulating turbulent flows. Both straight and curved interfaces are investigated. The streamlines penetration can be well prevented, which means the no-slip boundary condition can be guaranteed. Due to the existence of two coordinate systems: the Lagrangian coordinate system and the Eul

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Wen, Guojun, Haojie Liu, Hongbo Huang, Yudan Wang, and Xinyu Shi. "Meshless method simulation and experimental investigation of crack propagation of CBM hydraulic fracturing." Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 73 (2018): 72. http://dx.doi.org/10.2516/ogst/2018074.

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For simulating CoalBed Methane (CBM) hydraulic fracturing using 3-D meshless method, this paper analyzed the hydraulic fracturing mechanism and cracking form for coal rock and established the geometric and mathematical models of hydraulic fracturing propagation in coal rock in terms of the Hillerborg model on crack opening displacement theory. With the theoretical basis of hydromechanics, the formulas for calculating hydraulic pressure inside the fracture by numerical simulation were deduced from the analysis on this fluid-structure interaction problem. The geometric and mathematical models es

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Schwartz, Zvi. "Research: Game Theory: Mathematical Models Provide Insights into Hospitality Industry Phenomena." Journal of Hospitality & Tourism Research 21, no. 1 (February 1997): 48–70. http://dx.doi.org/10.1177/109634809702100106.

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Game theory is a mathematical modeling tool that considers the interaction among participants in economic activity. This article introduces some of the basic concepts of game theory, and demonstrates its applicability to hospitality industry research. The paper discusses essential elements of a game such as players, actions, strategies, payoffs and equilibria. The author explains how the information structure of a game determines its outcome, and examines the solution concepts of Nash Equilibrium in a simultaneous game. The Leader-Follower game and the concept of mixed strategies are also intr

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Grzesikiewicz, Wiesław, and Artur Zbiciak. "Mathematical Formulation of Soft-Contact Problems for Various Rheological Models of Damper." Shock and Vibration 2018 (2018): 1–9. http://dx.doi.org/10.1155/2018/8675016.

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The paper deals with analysis of selected soft-contact problems in discrete mechanical systems. Elastic-dissipative rheological schemes representing dampers as well as the notion of unilateral constraints were used in order to model interaction between colliding bodies. The mathematical descriptions of soft-contact problems involving variational inequalities are presented. The main finding of the paper is a method of description of soft-contact phenomenon between rigid object and deformable rheological structure by the system of explicit nonlinear differential-algebraic equations easy for nume

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Formaggia, Luca, Alexandra Moura, and Fabio Nobile. "On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations." ESAIM: Mathematical Modelling and Numerical Analysis 41, no. 4 (July 2007): 743–69. http://dx.doi.org/10.1051/m2an:2007039.

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Zhao, S. Z., X. Y. Xu, and M. W. Collins. "The numerical analysis of fluid-solid interactions for blood flow in arterial structures Part 1: A review of models for arterial wall behaviour." Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine 212, no. 4 (April 1, 1998): 229–40. http://dx.doi.org/10.1243/0954411981534015.

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The structural response of a large artery is characteristically complex and includes the highly non-linear, history-dependent response of a nonhomogeneous anisotropic structure undergoing finite deformations. The mechanics of the arterial wall has been studied for nearly two centuries. The goals of such research range from the desire to have a basic knowledge and understanding of the mechanics and physiology of this complex structure to the need for data and methods for the design of arterial prostheses. In this paper, the models for arterial wall behaviour are critically reviewed. Firstly, th

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Shangguan, Wenbin. "NONLINEAR MODELING OF HYDRAULIC ENGINE MOUNTS OF A CAR POWERTRAIN WITH COMPUTATIONAL FLUID STRUCTURE INTERACTION FINITE ELEMENT ANALYSIS MODELS." Chinese Journal of Mechanical Engineering 40, no. 08 (2004): 80. http://dx.doi.org/10.3901/jme.2004.08.080.

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Mazinani, Iman, Mohammad Mohsen Sarafraz, Zubaidah Ismail, Ahmad Mustafa Hashim, Mohammad Reza Safaei, and Somchai Wongwises. "Fluid-structure interaction computational analysis and experiments of tsunami bore forces on coastal bridges." International Journal of Numerical Methods for Heat & Fluid Flow 31, no. 5 (March 22, 2021): 1373–95. http://dx.doi.org/10.1108/hff-02-2019-0127.

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Purpose Two disastrous Tsunamis, one on the west coast of Sumatra Island, Indonesia, in 2004 and another in North East Japan in 2011, had seriously destroyed a large number of bridges. Thus, experimental tests in a wave flume and a fluid structure interaction (FSI) analysis were constructed to gain insight into tsunami bore force on coastal bridges. Design/methodology/approach Various wave heights and shallow water were used in the experiments and computational process. A 1:40 scaled concrete bridge model was placed in mild beach profile similar to a 24 × 1.5 × 2 m wave flume for the experimen

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Buchori, L., Y. Bindar, D. Sasongko, and IGBN Makertihartha. "2-d mathematical and numerical modeling of fluid flow inside and outside packing in catalytic packed bed reactor." REAKTOR 5, no. 1 (June 13, 2017): 1. http://dx.doi.org/10.14710/reaktor.5.1.1-7.

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Generally, the momentum equation of fluid flow in porous media was solved by neglecting the terms of diffusion and convection such as Ergun, Darcy, Brinkman and Forchheimer models. Their model primarily applied for laminar flow. It is true that these model are limited to condition whether the models can be applied. Analytical solution for the model type above is available only for simple one-dimensional cases. For two or three-dimentional problem, numerical solution is the only solution. This work advances the flow model in porous media and provide two-dimentional flow field solution in porous

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Bogdevicius, Marijonas, Jolanta Janutėnienė, and Oleg Vladimirov. "Simulation of Hydrodynamics Processes of Hydraulic Braking System of Vehicle." Solid State Phenomena 147-149 (January 2009): 296–301. http://dx.doi.org/10.4028/www.scientific.net/ssp.147-149.296.

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The 3D vehicle with the hydraulic braking system and disc brake with the wheel has been investigated. The dynamic models of the disk brake assembly and the wheel have been constructed. The automobile hydraulic braking system consisting of two contours is considered. . The mathematical model of the hydraulic braking system is presented, where the flow of liquid and the interaction of liquid with the rigid bodies are taken into account. The flow of fluid in a hydraulic system is described by a system of equations of a hyperbolic type, which is solved by a characteristics method. During the mathe

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