Factorization methods for the numerical approximation of Navier-Stokes equations

Computer Methods in Applied Mechanics and Engineering

Volumn 188, Issue 1-3, 2000, Pages 505-526

  Quarteroni, Alfio ^a,b   Saleri, Fausto ^a   Veneziani, Alessandro ^c  

^a POLITECNICO DI MILANO   (Italy)

^b EPFL   (Switzerland)

^c UNIVERSITY OF VERONA   (Italy)

Author keywords

Algebraic splitting; Navier Stokes equations; Projection schemes; Quasi compressibility methods

Indexed keywords

ALGEBRA; APPROXIMATION THEORY; NAVIER STOKES EQUATIONS; PROBLEM SOLVING;

ALGEBRAIC SPLITTING; FACTORIZATION METHOD;

INCOMPRESSIBLE FLOW;

MATHEMATICAL METHOD; NAVIER-STOKES EQUATIONS;

EID: 0034234056     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(99)00192-9     Document Type: Article

References (34)

1. On the stabilization of finite element approximation of the Stokes equations
2. A finite element formulation for the stokes problem allowing equal velocity
3. Numerical solution of the Navier-Stokes equations
4. Spectral element discretization of the unsteady Navier-Stokes equations and its iterative solution on parallel computers
5. Approximate factorization as a high order splitting for the implicit incompressible flow equations
6. Finite element methods and Navier-Stokes equations
7. Finite element methods for Navier-Stokes equations
8. Some current CFD issues relevant to the incompressible Navier-Stokes equations
9. Some implementations of projection methods for Navier-Stokes equations
10. A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuska Brezzi condition
11. An efficient Navier-Stokes solver and its applications to fluid flow in elastic tubes
12. High-order splitting methods for the incompressible Navier-Stokes equations
13. Application of a fractional step method to incompressible Navier-Stokes equations
14. An analysis of the fractional step method
15. A spectral multi-domain method for the numerical simulation of turbulent flows
16. The Yosida method for the unsteady Navier-Stokes equations
17. On Chorin's projection methods for the incompressible Navier-Stokes equations
18. Unconditional stability and long-term behaviour of transient algorithms for the incompressible Navier-Stokes and Euler equations
19. On error estimates of projection methods for Navier-Stokes equations: First order schemes
20. On error estimates of projection methods for Navier-Stokes equations: Second order schemes
21. Sur l'approximation de la solution des equations de Navier-Stokes par la methode de pas fractionnaires (II)
22. On discrete projection methods for the incompressible Navier-Stokes equations: An algorithmical approach
23. A second order accurate pressure-correction scheme for viscous incompressible flow
24. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface