Newton's method applied to finite-difference approximations for the steady-state compressible Navier-Stokes equations
✍ Scribed by Harry E Bailey; Richard M Beam
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 76 KB
- Volume
- 89
- Category
- Article
- ISSN
- 0021-9991
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📜 SIMILAR VOLUMES
Newton's method and banded Gaussian elimination can be a CPU efficient method for steady-state solutions to two-dimensional Navier-Stokes equations. In this paper we look at techniques that increase the radius of convergence of Newton's method, reduce the number of times the Jacobian must be factore
## Abstract An iterative method for numerically solving the time independent Navier–Stokes equations for viscous compressible flows is presented. The method is based upon partial application of the Gauss–Seidel principle in block form to the systems of the non‐linear algebraic equations which arise
Boundary and interface conditions for high-order finite difference methods applied to the constant coefficient Euler and Navier-Stokes equations are derived. The boundary conditions lead to strict and strong stability. The interface conditions are stable and conservative even if the finite differenc