On the Low Mach Number Limit for the Compressible Euler System
نویسندگان
چکیده
منابع مشابه
Low Mach Number Limit for Viscous Compressible Flows
In this survey paper, 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. Hence highly oscillating acoustic waves are likely to p...
متن کاملLow Mach Number Limit of Viscous Compressible Magnetohydrodynamic Flows
The relationship between the compressible magnetohydrodynamic flows with low Mach number and the incompressible magnetohydrodynamic flows is investigated. More precisely, the convergence of weak solutions of the compressible isentropic viscous magnetohydrodynamic equations to the weak solutions of the incompressible viscous magnetohydrodynamic equations is proved as the density becomes constant...
متن کاملA Hybrid Adaptive Low-Mach-Number/Compressible Method for the Euler Equations
This paper presents a novel hybrid method for solving the low-Mach-number equations for inviscid flow supplemented with long wavelength acoustics as computed by solving the fully compressible Euler equations. Contrary to previous existing methods, the novelty of the present strategy is that the fully compressible equations are solved without any approximation, and that an adaptive mesh refineme...
متن کاملStudy of a New Asymptotic Preserving Scheme for the Euler System in the Low Mach Number Limit
This article deals with the discretization of the compressible Euler system for all Mach numbers regimes. For highly subsonic flows, since acoustic waves are very fast compared to the velocity of the fluid, the gas can be considered as incompressible. From the numerical point of view, when the Mach number tends to zero, the classical Godunov type schemes present two main drawbacks: they lose co...
متن کاملAn example of low Mach (Froude) number effects for compressible flows with nonconstant density (height) limit
Abstract The purpose of this work is to study an example of low Mach (Froude) number limit of compressible flows when the initial density (height) is almost equal to a function depending on x. This allows us to connect the viscous shallow water equation and the viscous lake equations. More precisely, we study this asymptotic with well prepared data in a periodic domain looking at the influence ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2019
ISSN: 0036-1410,1095-7154
DOI: 10.1137/17m1131799