منابع مشابه
Solution of the coupled Navier - Stokes equations
A selection of these reports is available in PostScript form at the Faculty's anonymous ftp-Abstract In this paper the incompressible Navier-Stokes equations are discretized by the nite element method. After linearization large, sparse systems of linear equations have to be solved. A well known problem is the occurrence of zero elements on the main diagonal. We describe ordering techniques of t...
متن کاملOptimization with the time-dependent Navier-Stokes equations as constraints
In this paper, optimal distributed control of the time-dependent Navier-Stokes equations is considered. The control problem involves the minimization of a measure of the distance between the velocity field and a given target velocity field. A mixed numerical method involving a quasi-Newton algorithm, a novel calculation of the gradients and an inhomogeneous Navier-Stokes solver, to find the opt...
متن کاملMultigrid Solution of the Navier-Stokes Equations on Triangular Meshes
A new Navier-Stokes algorithm for use on unstructured triangular meshes is presented. Spatial discretization of the governing equations is achieved using a finite-element Galerkin approximation, which can be shown to be equivalent to a finite-volume approximation for regular equilateral triangular meshes. Integration to steady state is performed using a multistage time-stepping scheme, and conv...
متن کاملFast and Reliable Solution of the Navier - Stokes EquationsIncluding
In this paper, we describe recent developments in the design and implementation of Navier-Stokes solvers based on nite element discretization. The most important ingredients are residual driven a posteriori mesh reenement, fully coupled defect-correction iteration for linearization, and optimal multigrid precondi-tioning. These techniques were systematically developed for computing incompressib...
متن کاملFundamental Solution Matrix of the Navier-Stokes Equations
Abstract. The procedure of solving the system of the Navier-Stokes equations is proposed. The initial conditions: the velocity divergence (dilatation) being zero and the temperature being the known function, the initial density being constant. The problem is set in the infinite space. The solution of the Navier-Stokes equations was reduced to the solution of integral equations of the Volterra t...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1986
ISSN: 0898-1221
DOI: 10.1016/0898-1221(86)90016-7