An explicit finite element method for numerically solving the two-phase, immiscible, incompressible flow in a porous medium in two space dimensions is analyzed. The method is based on the use of a mixed finite element method for the approximation of the velocity and pressure a discontinuous upwindin
A stabilized finite element method for particulate two-phase flow equations laminar isothermal flow
β Scribed by Kai Hiltunen
- Book ID
- 104267793
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 905 KB
- Volume
- 147
- Category
- Article
- ISSN
- 0045-7825
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β¦ Synopsis
A finite element method for the solution of particulate two-phase flows is presented. The governing system has the form of compressible Navier-Stokes equations with unknown pressure. Therefore, the proposed method must capture the main features of stabilized methods used for incompressible as well as for compressible Navier-Stokes equations. Solution of the resulting nonlinear algebraic system of equations is based on the linearization using Newton method in conjunction with Generalized Minimal Residual iterative solver and Incomplete LU preconditioning. The method has been tested for three test cases including venturi tube flow, flow over backward step and mixing of flows in t-junction.
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