A higher order finite element algorithm for the unsteady Navier-Stokes equations
β Scribed by Charlie H. Cooke; Doris K. Blanchard
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 358 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0378-4754
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β¦ Synopsis
A higher order element, the Tocher 10 or Co Cubic on triangles, is the base for formulation of a finite element algorithm for numerical calcuZation of f&id f2ow.s governed by the unsteady Navier-Stokes equations. ResuZts from the caZcuZation of supersonic free shear layer fZow are nwnericazly accurate a& in excellent agreement with finite difference solutions. Diverse characteristics for these two classes of methods emerge when the requirements of core storage and computer time are considered.
π SIMILAR VOLUMES
In this paper a penalty finite element solution method for the unsteady Navier-Stokes equations for two-dimensional incompressible flow is described. The performances of the Euler implicit (El) and the Crank-Nicolson (CN) time integration methods are analysed. Special attention is payed to the undam
Solution algorithms for solving the Navier-Stokes equations without storing equation matrices are developed. The algorithms operate on a nodal basis, where the finite element information is stored as the co-ordinates of the nodes and the nodes in each element. Temporary storage is needed, such as th
A new multiblock pressure-based finite element algorithm has been developed. This methodology implements quadratic interpolation for both the elemental velocity and pressure fields. A direct streamline upwinding scheme previously developed by the authors is used to model the non-linear inertia effec