2013
DOI: 10.14569/ijacsa.2013.040308
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Resolution of Unsteady Navier-stokes Equations with the C a,b Boundary condition

Abstract: Abstract-in this work, we introduce the unsteady incompressible Navier-Stokes equations with a new boundary condition, generalizes the Dirichlet and the Neumann conditions. Then we derive an adequate variational formulation of timedependent Navier-Stokes equations. We then prove the existence theorem and a uniqueness result. A Mixed finite-element discretization is used to generate the nonlinear system corresponding to the Navier-Stokes equations. The solution of the linearized system is carried out using the … Show more

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“…Like finite element analysis (FEA) [8], a discrete approximation space is constructed by spanning these basis functions. This approximation space forms the foundation for a Galerkin procedure [9], which is employed to numerically approximate solutions for partial differential equations (PDEs).…”
Section: Introduction To B-spline Nurbs Methodsmentioning
confidence: 99%
“…Like finite element analysis (FEA) [8], a discrete approximation space is constructed by spanning these basis functions. This approximation space forms the foundation for a Galerkin procedure [9], which is employed to numerically approximate solutions for partial differential equations (PDEs).…”
Section: Introduction To B-spline Nurbs Methodsmentioning
confidence: 99%