## Abstract This paper presents a new highβorder approach to the numerical solution of the incompressible Stokes and NavierβStokes equations. The class of schemes developed is based upon a velocityβpressureβpressure gradient formulation, which allows: (i) highβorder finite difference stencils to be
A high order finite element for completely incompressible creeping flow
β Scribed by Erik G. Thompson; M. I. Haque
- Publisher
- John Wiley and Sons
- Year
- 1973
- Tongue
- English
- Weight
- 359 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0029-5981
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β¦ Synopsis
Abstract
A finite element method for simulating the creeping flow of an incompressible material is presented. The method allows for (1) a quadratic approximation of the velocity field, (2) material incompressibility everywhere within an element and (3) the ability to follow the flow through large changes of the material boundaries. A candle slowly bending under its own weight is simulated for illustrative purposes.
π SIMILAR VOLUMES
A new variable-order spectral element scheme is proposed in this work for the numerical solution of the steady incompressible Navier-Stokes equations in primitive variables. The spectral orders of polynomial expansion in each spatial direction for each element are specified by the user in advance. N
In this paper we introduce a high-order discontinuous Galerkin method for twodimensional incompressible flow in the vorticity stream-function formulation. The momentum equation is treated explicitly, utilizing the efficiency of the discontinuous Galerkin method. The stream function is obtained by a