Pipe Networks: Coupling Constants in a Junction for the Isentropic Euler Equations
نویسندگان
چکیده
منابع مشابه
Existence Theory for the Isentropic Euler Equations
We establish an existence theorem for entropy solutions to the Euler equations modeling isentropic compressible fluids. We develop a new approach for constructing mathematical entropies for the Euler equations, which are singular near the vacuum. In particular, we identify the optimal assumption required on the singular behavior on the pressure law at the vacuum in order to validate the two-ter...
متن کاملOn Isentropic Approximations for Compressible Euler Equations
In this paper, we first generalize the classical results on Cauchy problem for positive symmetric quasilinear systems to more general Besov space. Through this generalization, we obtain the local well-posedness with initial data in the space B d 2 +1 2,1 (R ) which has critical regularity index. We then apply these results to give an explicit characterization on the Isentropic approximation for...
متن کاملA New Stable Splitting for the Isentropic Euler Equations
In this work, we propose a new way of splitting the flux function of the isentropic compressible Euler equations at low Mach number into stiff and non-stiff parts. Following the IMEX methodology, the latter ones are treated explicitly, while the first ones are treated implicitly. The splitting is based on the incompressible limit solution, which we call reference solution (RS). An analysis conc...
متن کاملThe RS-IMEX splitting for the isentropic Euler equations
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...
متن کاملOptimal Transport for the System of Isentropic Euler Equations
We introduce a new variational time discretization for the system of isentropic Euler equations. In each timestep the internal energy is reduced as much as possible, subject to a constraint imposed by a new cost functional that measures the deviation of particles from their characteristic paths.
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: Energy Procedia
سال: 2015
ISSN: 1876-6102
DOI: 10.1016/j.egypro.2015.01.017