Operator splitting and upwinding for the Navier-Stokes equations
✍ Scribed by B. Bermúdez; A. Nicolás; F. J. Sánchez; E. Buendía
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 274 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0178-7675
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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
Fully discretized incompressible Navier-Stokes equations are solved by splitting the algebraic system with an approximate factorization. This splitting affects the temporal convergence order of velocity and pressure. The splitting error is proportional to the pressure variable, and a simple analysis
## Abstract A discretization method is presented for the full, steady, compressible Navier–Stokes equations. The method makes use of quadrilateral finite volumes and consists of an upwind discretization of the convective part and a central discretization of the diffusive part. In the present paper