scholarly journals Coupling strategies for compressible-low Mach number flows

2015 ◽  
Vol 25 (06) ◽  
pp. 1045-1089 ◽  
Author(s):  
Yohan Penel ◽  
Stephane Dellacherie ◽  
Bruno Després
Keyword(s):  
Steady State ◽  
Mach Number ◽  
Numerical Simulations ◽  
Source Term ◽  
Fluid Flows ◽  
Transmission Conditions ◽  
Low Mach Number ◽  
Coupled Problem ◽  
Moving Interface ◽  
Numerical Strategy

In order to enrich the modeling of fluid flows, we investigate in this paper a coupling between two models dedicated to distinct regimes. More precisely, we focus on the influence of the Mach number as the low Mach case is known to induce theoretical and numerical issues in a compressible framework. A moving interface is introduced to separate a compressible model (Euler with source term) and its low Mach counterpart through relevant transmission conditions. A global steady state for the coupled problem is exhibited. Numerical simulations are then performed to highlight the influence of the coupling by means of a robust numerical strategy.

Theory of low Mach number compressible flow in a channel

1996 ◽  
Vol 313 ◽  
pp. 131-145 ◽  
Author(s):  
A. Shajii ◽  
J. P. Freidberg
Keyword(s):  
Steady State ◽  
Mach Number ◽  
Aspect Ratio ◽  
Compressible Flow ◽  
Applied Pressure ◽  
Subsonic Flows ◽  
Low Mach Number ◽  
Large Channel ◽  
Channel Aspect Ratio ◽  
Compressibility Effects

The properties of a relatively uncommon regime of fluid dynamics, low Mach number compressible flow are investigated. This regime, which is characterized by an exceptionally large channel aspect ratio L/d ∼ 106 leads to highly subsonic flows in which friction dominates inertia. Even so, because of the large aspect ratio, finite pressure, temperature, and density gradients are required, implying that compressibility effects are also important. Analytical results are presented which show, somewhat unexpectedly, that for forced channel flow, steady-state solutions exist only below a critical value of heat input. Above this value the flow reverses against the direction of the applied pressure gradient causing fluid to leave both the inlet and outlet implying that the related concepts of a steady-state friction factor and heat transfer coefficient have no validity.

scholarly journals Numerical simulations of a transient injection flow at low Mach number regime

2008 ◽  
Vol 76 (5) ◽  
pp. 662-696 ◽  
Author(s):  
A. Beccantini ◽  
E. Studer ◽  
S. Gounand ◽  
J.-P. Magnaud ◽  
T. Kloczko ◽  
...  
Keyword(s):  
Mach Number ◽  
Numerical Simulations ◽  
Low Mach Number ◽  
Injection Flow

Towards direct numerical simulations of low-Mach number turbulent reacting and two-phase flows using immersed boundaries

2016 ◽  
Vol 131 ◽  
pp. 123-141 ◽  
Author(s):  
Abouelmagd Abdelsamie ◽  
Gordon Fru ◽  
Timo Oster ◽  
Felix Dietzsch ◽  
Gábor Janiga ◽  
...  
Keyword(s):  
Mach Number ◽  
Numerical Simulations ◽  
Direct Numerical Simulations ◽  
Two Phase Flows ◽  
Two Phase ◽  
Low Mach Number ◽  
Immersed Boundaries
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