A Novel Full-Euler Low Mach Number IMEX Splitting
نویسندگان
چکیده
منابع مشابه
Asymptotic preserving IMEX finite volume schemes for low Mach number Euler equations with gravitation
In this paper we will present and analyse a new class of the IMEX finite volume schemes for the Euler equations with a gravity source term. We will in particular concentrate on a singular limit of weakly compressible flows when the Mach number M ≪ 1. In order to efficiently resolve slow dynamics we split the whole nonlinear system in a stiff linear part governing the acoustic and gravity waves ...
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Approximating solutions to singularly perturbed differential equations necessitates the use of stable integrators. One famous approach is to split the equation into stiff and non-stiff parts. Treating stiff parts implicitly, non-stiff ones explicitly leads to so-called IMEX schemes. These schemes are supposed to exhibit very good accuracy and uniform stability, however, not every (seemingly rea...
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The low Mach number limit for classical solutions of the full Navier-Stokes equations is here studied. The combined effects of large temperature variations and thermal conduction are taken into account. In particular, we consider general initial data. The equations lead to a singular problem whose linearized is not uniformly well-posed. Yet, it is proved that the solutions exist and are uniform...
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In this talk, we consider the isentropic Navier-Stokes equations at low Mach number M . As M → 0, the equation changes its type [5], making it very difficult for numerical methods to work efficiently. This is in particular true for methods of high order consistency. An approach that turns out to be very successful in this context is to split the convective flux into a stiff and a non-stiff term...
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ژورنال
عنوان ژورنال: Communications in Computational Physics
سال: 2020
ISSN: 1815-2406,1991-7120
DOI: 10.4208/cicp.oa-2018-0270