On Preconditioning of Incompressible Non-Newtonian Flow Problems
نویسندگان
چکیده
منابع مشابه
On preconditioning incompressible non-Newtonian flow problems
This paper concerns preconditioned iterative solution methods for solving incompressible non-Newtonian Navier-Stokes equations as arising in regularized Bingham models. Stable finite element discretization applied to the linearized equations results in linear systems of saddle point form. In order to circumvent the difficulties of efficiently and cheaply preconditioning the Schur complement of ...
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This paper deals with fast and reliable numerical solution methods for the incompressible non-Newtonian Navier-Stokes equations. To handle the nonlinearity of the governing equations, the Picard and Newton methods are used to linearize these coupled partial differential equations. For space discretization we use the nite element method and utilize the two-by-two block structure of the matrices ...
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The problems of incompressible flows dominate a large part of the fluid mechanics scene. For this reason, they are given special attention in this book and we devote two chapters to this subject. In the present chapter we deal with various steadystate and transient situations in which the flow is forced by appropriate pressure gradients and boundary forces. In the next chapter we shall consider...
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We consider time-dependent flow problems discretized with higher order finite element methods. Applying a fully implicit time discretization or an IMEX scheme leads to a saddle point system. This linear system is solved using a preconditioned Krylov method, which is fully parallelized on a distributed memory parallel computer. We study a robust block-triangular preconditioner and beside numeric...
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ژورنال
عنوان ژورنال: Journal of Computational Mathematics
سال: 2015
ISSN: 0254-9409,1991-7139
DOI: 10.4208/jcm.1407-m4486