Results 11 to 20 of about 6,706 (262)
Low Mach number limit for a model of accretion disk [PDF]
Discrete and Continuous Dynamical Systems, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Donatelli, Donatella +2 more
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Low Mach number limit for viscous compressible flows [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2005 Summary: We are concerned with the zero Mach number limit for compressible viscous flows. For the sake of (mathematical) simplicity, we restrict ourselves to the case of barotropic fluids and we assume that the flow evolves in the whole space or satisfies periodic boundary conditions. We focus on the case of ill-prepared data.
Danchin, Raphaël, Raphaël Danchin
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Low-Mach-number--slenderness limit for elastic Cosserat rods [PDF]
, 2015 This paper deals with the relation of the dynamic elastic Cosserat rod model and the Kirchhoff beam equations. We show that the Kirchhoff beam without angular inertia is the asymptotic limit of the Cosserat rod, as the slenderness parameter (ratio between rod diameter and length) and the Mach number (ratio between rod velocity and typical speed of ...
Baus, Franziska +3 more
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Low Mach number limit of compressible nematic liquid crystal flows with well-prepared initial data in a 3D bounded domain [PDF]
Electronic Journal of Differential Equations, 2019 In this article, we consider the low Mach number limit of the compressible nematic liquid crystal flows in a 3D bounded domain. We establish the uniform estimates with respect to the Mach number for the strong solutions with large initial data in a ...
Boling Guo, Lan Zeng, Guoxi Ni
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Measure-Valued Low Mach Number Limits of Ideal Fluids [PDF]
SIAM Journal on Mathematical Analysis, 2023 As a framework for handling low Mach number limits we consider a notion of measure-valued solution of the incompressible Euler system which explicitly formulates the usually suppressed dependence on the pressure variable. We clarify in which sense such a measure-valued solution is generated as a low Mach limit and state sufficient conditions for this ...
Gallenmüller, Dennis
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On the low Mach number limit for 2D Navier–Stokes–Korteweg systems [PDF]
Mathematics in Engineering, 2022 <abstract><p>This paper addresses the low Mach number limit for two-dimensional Navier–Stokes–Korteweg systems. The primary purpose is to investigate the relevance of the capillarity tensor for the analysis. For the sake of a concise exposition, our considerations focus on the case of the quantum Navier-Stokes (QNS) equations.
Hientzsch, Lars Eric ; https://orcid.org/
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On the Behavior of Upwind Schemes in the Low Mach Number Limit [PDF]
, 1997 This paper presents an asymptotic analysis in power of the Mach number of the flux difference splitting approximation of the compressible Euler equations in the low Mach number limit. We prove that the solutions of the discrete system contain pressure fluctuations of order $Ma$ while the continuous pressure scales with the square of the Mach number ...
Guillard, Hervé, Viozat, Cécile
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Low Mach number Limit of Steady Thermally Driven Fluid [PDF]
43 pages.
Huang, Feimin +2 more
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Low Mach number limit of a compressible Euler-Korteweg model [PDF]
, 2023 summary:This article deals with the low Mach number limit of the compressible Euler-Korteweg equations. It is justified rigorously that solutions of the compressible Euler-Korteweg equations converge to those of the incompressible Euler equations as the ...
Yang, Jianwei, Wang, Yajie
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Verification and Validation of CFD Modeling for Low-Flow-Coefficient Centrifugal Compressor Stages
Energies, 2021 In this paper, the numerical model of a centrifugal compressor low-flow stage is verified. The gaps and labyrinth seals were simulated in the numerical model. The task was to determine the optimal settings for high-quality modeling of the low-flow stages.
Vycheslav Ivanov +4 more
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