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On the Behaviour of Upwind Schemes in the Low Mach Number Limit [PDF]

, 2017
International audienceThis work is devoted to a review of different modifications proposed to enable compressible flow solvers to compute accurately flows near the incompressible limit.
H. Guillard, B. Nkonga
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A Low Mach Number Limit of a Dispersive Navier–Stokes System

SIAM Journal on Mathematical Analysis, 2012
We establish a low Mach number limit for classical solutions over the whole space of a compressible fluid dynamic system that includes dispersive corrections to the Navier–Stokes equations. The limiting system is similar to a ghost effect system [Y. Sone, Kinetic Theory and Fluid Dynamics, Model. Simul. Sci. Eng.
C. David Levermore, Weiran Sun, Konstantina Trivisa   +2 more
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Low Mach Number Limit of the Non-isentropic Ideal Magnetohydrodynamic Equations

Journal of Mathematical Fluid Mechanics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fucai Li, Shuxing Zhang
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The low Mach number limit for the compressible flow of liquid crystals

Applied Mathematics and Computation, 2017
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Guohua Qi, Jiang Xu
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Adjoint algorithms for the Navier–Stokes equations in the low Mach number limit

Journal of Computational Physics, 2012
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Gary J. Chandler, Matthew P. Juniper, Joseph W. Nichols, Peter J. Schmid   +3 more
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Low Mach Number Limits of Compressible Rotating Fluids

Journal of Mathematical Fluid Mechanics, 2011
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Low Mach number limit of nonisentropic inviscid Hookean elastodynamics

Mathematical Methods in the Applied Sciences, 2022
The low Mach number limit of the nonisentropic compressible Hookean elastodynamic equations is rigorously proved with respect to well-prepared initial data. We introduce certain suitable seminorms to obtain the uniform estimate of solutions, for which the critical point is to cancel the higher order derivate terms caused by the coupling of velocity and
Qiangchang Ju, Jiawei Wang
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Low Mach number limit for a model of radiative flow

Journal of Evolution Equations, 2014
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Ducomet, Bernard, Nečasová, Šárka
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Low Mach Number Limit of Solutions to the Stochastic Compressible Magnetohydrodynamic Equations

Journal of Dynamics and Differential Equations, 2021
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Asymptotic Single and Multiple Scale Expansions in the Low Mach Number Limit

SIAM Journal on Applied Mathematics, 1999
An asymptotic analysis of the Euler equations in the limit of vanishing Mach number is presented, which can be employed to extend the validity of numerical methods from the compressible to the low Mach number regime. The work is based on the analysis recently proposed by Klein, whereby the paper is devoted to a rigorous mathematical justification of ...
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