Unsteady interfacial problems, considered in an Eulerian form, are studied. The phenomena are modeled using the incompressible viscous Navier-Stokes equations to get the velocity field and an advection equation to predict interface evolutions. The momentum equation is solved by means of an implicit
Asymptotic–Newton method for solving incompressible flows
✍ Scribed by Sofiane Hadji; Gouri Dhatt
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 423 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0271-2091
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✦ Synopsis
In this paper we present a comparative study of three non-linear schemes for solving ®nite element systems of Navier±Stokes incompressible ¯ows. The ®rst scheme is the classical Newton±Raphson linearization, the second one is the modi®ed Newton±Raphson linearization and the last one is a new scheme called the asymptotic± Newton method. The relative ef®ciency of these approaches is evaluated over a large number of examples.
📜 SIMILAR VOLUMES
A particle-gridless hybrid method for the analysis of incompressible flows is presented. The numerical scheme consists of Lagrangian and Eulerian phases as in an arbitrary Lagrangian -Eulerian (ALE) method, where a new-time physical property at an arbitrary position is determined by introducing an a
## Abstract A new meshless local Petrov–Galerkin (MLPG) method, based on local boundary integral equation (LBIE) considerations, is proposed here for the solution of 2D, incompressible and nearly incompressible elastostatic problems. The method utilizes, for its meshless implementation, nodal point