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Abstract

The work concerns dynamic similarity criteria of various phenomena occurring in hydraulics and fluid dynamics originally derived from ratios of forces and forces moments affecting these phenomena. The base of dynamic similarity criteria formulations and considerations is A. Flaga’s method and procedure for determining dynamic similarity criteria in different issues of fluid–solid interactions i.e. at different fluid–solid relative motions. The paper concerns the determination and analysis of dynamic similarity criteria for various practical problems encountered mainly in hydraulics and fluid dynamics at steady, smooth fluid onflow in front of a solid. Moreover, the cases of mechanically induced vibrations of a body in a stationary fluid moving with constant velocity in front of the body have been presented. Assuming authorial method and procedure for determining dynamic similarity criteria, its have been presented and analysed in the paper both well known similarity numbers obtained in another way (e.g. from dimensional analysis or differential equations for particular problems – as Reynolds, Froude, Euler, Cauchy, Strouhal, Mach numbers) – as well as several new similarity numbers encountered in different fluid solid interaction problems (e.g. new forces and moments coefficients encountered in problems of vibrating solid bodies in fluids).
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Authors and Affiliations

Andrzej Flaga
1
ORCID: ORCID
Renata Kłaput
1
ORCID: ORCID
Łukasz Flaga
1
ORCID: ORCID

  1. Cracow University of Technology, Faculty of Civil Engineering, Wind Engineering Laboratory, Jana Pawła II 37/3a, 31-864 Cracow, Poland
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Abstract

This work outlines a unified multi-threaded, multi-scale High Performance Computing (HPC) approach for the direct numerical simulation of Fluid-Solid Interaction (FSI) problems. The simulation algorithm relies on the extended Smoothed Particle Hydrodynamics (XSPH) method, which approaches the fluid flow in a Lagrangian framework consistent with the Lagrangian tracking of the solid phase. A general 3D rigid body dynamics and an Absolute Nodal Coordinate Formulation (ANCF) are implemented to model rigid and flexible multibody dynamics. The twoway coupling of the fluid and solid phases is supported through use of Boundary Condition Enforcing (BCE) markers that capture the fluid-solid coupling forces by enforcing a no-slip boundary condition. The solid-solid short range interaction, which has a crucial impact on the small-scale behavior of fluid-solid mixtures, is resolved via a lubrication force model. The collective system states are integrated in time using an explicit, multi-rate scheme. To alleviate the heavy computational load, the overall algorithm leverages parallel computing on Graphics Processing Unit (GPU) cards. Performance and scaling analysis are provided for simulations scenarios involving one or multiple phases with up to tens of thousands of solid objects. The software implementation of the approach, called Chrono::Fluid, is part of the Chrono project and available as an open-source software.

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Authors and Affiliations

Arman Pazouki
Radu Serban
Dan Negrut
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Abstract

The article deals with a current state-of-art of fluid solid interaction (FSI) – the new branch of continuum physics. Fluid-solid interaction is a new quality of modeling physical processes of continuum mechanics, it can be described as the interaction of various (so far treated separately from the point of view of mathematical modeling) physical phenomena occurring in continuous media systems. The most correct is the simultaneous application of the laws of the given physical disciplines, which implies that fluid solid interaction is a subset of multi-physical applications where the interactions between these subsets are exchanged on the surface in interconnected systems. Our purpose is to extend the fluid solid interaction aplications into new phenomena what follow from the industrial needs and inovative thechnologies. Selecting the various approaches, we prefer the arbitraty lagrangean-eulerian description within the bulk of fluid/solid domain and a new sort of advanced boundary condition on a surface of common contact.
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Authors and Affiliations

Tomasz Ochrymiuk
1
Mariusz Banaszkiewicz
1 2
Marcin Lemański
1 3
Tomasz Kowalczyk
1
ORCID: ORCID
Paweł Ziółkowski
1 4
Piotr J. Ziółkowski
1
Rafał Hyrzyński
1 5
Michał Stajnke
1
Mateusz Bryk
1
Bartosz Kraszewski
1
Sylwia Kruk-Gotzman
1 6
Marcin Froissart
1
Janusz Badur
1

  1. Institute of Fluid Flow Machinery Polish Academy of Science, Fiszera 14, 80-331 Gdansk, Poland
  2. General Electric Power, Stoczniowa 2, 82-300 Elblag, Poland
  3. Anwil Grupa Orlen, Torunska 222, 87-800 Włocławek, Poland
  4. Gdansk University of Technology, Narutowicza 11/12, 80-233 Gdansk, Poland
  5. Energa S.A. Grunwaldzka 472, 80-309 Gdansk, Poland
  6. Agencja Rynku Energii, Bobrowiecka 3, 00-728 Warszawa, Poland

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