Displaying similar documents to “Simplification of the generalized state equations”

An iterative procedure to solve a coupled two-fluids turbulence model

Tomas Chacón Rebollo, Stéphane Del Pino, Driss Yakoubi (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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This paper introduces a scheme for the numerical approximation of a model for two turbulent flows with coupling at an interface. We consider the variational formulation of the coupled model, where the turbulent kinetic energy equation is formulated by transposition. We prove the convergence of the approximation to this formulation for 3D flows for large turbulent viscosities and smooth enough flows, whenever bounded in Sobolev norms for large enough. Under the...

Equivalence and symmetries of first order differential equations

V. Tryhuk (2008)

Czechoslovak Mathematical Journal

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In this article, the equivalence and symmetries of underdetermined differential equations and differential equations with deviations of the first order are considered with respect to the pseudogroup of transformations x ¯ = ϕ ( x ) , y ¯ = y ¯ ( x ¯ ) = L ( x ) y ( x ) . That means, the transformed unknown function y ¯ is obtained by means of the change of the independent variable and subsequent multiplication by a nonvanishing factor. Instead of the common direct calculations, we use some more advanced tools from differential...