Navier-Stokes equations with variable viscosity in variable exponent spaces of Clifford-valued functions
نویسندگان
چکیده
منابع مشابه
Navier-stokes Equations in the Half-space in Variable Exponent Spaces of Clifford-valued Functions
In this article, we study the steady generalized Navier-Stokes equations in a half-space in the setting of variable exponent spaces. We first establish variable exponent spaces of Clifford-valued functions in a half-space. Then, using this operator theory together with the contraction mapping principle, we obtain the existence and uniqueness of solutions to the stationary Navier-Stokes equation...
متن کاملPreconditioning the incompressible Navier-Stokes equations with variable viscosity
This paper deals with preconditioners for the iterative solution of the discrete Oseen’s problem with variable viscosity. The motivation of this work originates from numerical simulations of multiphase flow, governed by the coupled Cahn-Hilliard and incompressible Navier-Stokes equations. The impact of variable viscosity on some known preconditioning technique is analyzed. Numerical experiments...
متن کاملConvergence of Numerical Approximations of the Incompressible Navier-Stokes Equations with Variable Density and Viscosity
Abstract. We consider numerical approximations of incompressible Newtonian fluids having variable, possibly discontinuous, density and viscosity. Since solutions of the equations with variable density and viscosity may not be unique, numerical schemes may not converge. If the solution is unique, then approximate solutions computed using the discontinuous Galerkin method to approximate the conve...
متن کاملNumerical solution of the time-dependent Navier-Stokes equation for variable density–variable viscosity. Part I
We consider methods for the numerical simulations of variable density incompressible fluids, modelled by the Navier-Stokes equations. Variable density problems arise, for instance, in interfaces between fluids of different densities in multiphase flows such as appearing in porous media problems. We show that by solving the Navier-Stokes equation for the momentum variable instead of the velocity...
متن کاملNumerical solution of the time-dependent Navier-Stokes equation for variable density–variable viscosity
We consider methods for numerical simulations of variable density incompressible fluids, modelled by the Navier-Stokes equations. Variable density problems arise, for instance, in interfaces between fluids of different densities in multiphase flows such as appear in porous media problems. It is shown that by solving the Navier-Stokes equation for the momentum variable instead of the velocity, t...
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: Boundary Value Problems
سال: 2015
ISSN: 1687-2770
DOI: 10.1186/s13661-015-0291-y