New formulations of the equations for compressible flow
نویسندگان
چکیده
منابع مشابه
Kuzmin-Oseledets Formulations of Compressible Euler Equations
Kuzmin-Oseledets formulations of compressible Euler equations case are considered. Exact results and physical interpretations are given. One such exact result for the compressible barotropic case is the potential helicity Lagrange invariant. In recognition of the fundamental physical implications of this Lagrange invariant clarified here, this invariant is shown to hold for compressible non-bar...
متن کاملKuzmin-Osledets Formulations of Compressible Euler Equations
Kuzmin-Osledets formulations of compressible Euler equations for the barotropic case are considered. Exact results and physical interpretations are given. Symmetry restoration taking place at the Lagrangian level is pointed out. Permanent Address: University of Central Florida, Orlando, Florida, 32816-1364
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Finite-scale equations (FSE) describe the evolution of finite volumes of fluid over time. We discuss the FSE for a one-dimensional compressible fluid, whose every point is governed by the Navier-Stokes equations. The FSE contain new momentum and internal energy transport terms. These are similar to terms added in numerical simulation for high-speed flows (e.g. artificial viscosity) and for turb...
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We establish the vanishing viscosity limit of the Navier-Stokes equations to the isentropic Euler equations for one-dimensional compressible fluid flow. For the NavierStokes equations, there exist no natural invariant regions for the equations with the real physical viscosity term so that the uniform sup-norm of solutions with respect to the physical viscosity coefficient may not be directly co...
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In this work we design a new domain decomposition method for the Euler equations in 2 dimensions. The basis is the equivalence via the Smith factorization with a third order scalar equation to whom we can apply an algorithm inspired from the Robin-Robin preconditioner for the convectiondiffusion equation. Afterwards we translate it into an algorithm for the initial system and prove that at the ...
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1947
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/21788