Analysis of an exact fractional step method

Journal of Computational Physics

Volumn 180, Issue 1, 2002, Pages 183-199

  Chang, Wang ^a   Giraldo, Francis ^a   Perot, Blair ^b  

^a University of Massachusetts   (United States)

^b NAVAL RESEARCH LABORATORY   (United States)

Author keywords

Fractional step method; Incompressible; Navier Stokes; Numerical; Projection method; Unstructured

Indexed keywords

NUMERICAL METHODS;

FRACTIONAL STEPS METHOD; INCOMPRESSIBLE; INCOMPRESSIBLE (NAVIER )STOKES EQUATION; INCOMPRESSIBLE NAVIER STOKES EQUATIONS; NAVIER STOKES; NUMERICAL; PROJECTION METHOD; SPLITTING ERRORS; STAGGERED MESH SCHEME; UNSTRUCTURED;

NAVIER STOKES EQUATIONS;

EID: 0037142979     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2002.7087     Document Type: Article

References (27)

1. The Navier-Stokes Equations II-Theory and Numerical Methods
2. The accuracy of the fractional step method
3. Accurate projection methods for the incompressible Navier-Stokes equations
4. Canonical fractional-step methods and consistent boundary conditions for the incompressible Navier-Stokes equations
5. Remark on the pressure boundary condition for the projection method
6. Projection method. I: Convergence and numerical boundary layers
7. An analysis of the fractional step method
8. Approximation factorization as a high order splitting for the implicit incompressible flow equations
9. A second order projection method for the incompressible Navier-Stokes equations
10. Numerical solution of the Navier-Stokes equations
11. On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 2: Implementation
12. Application of the fractional-step method to the incompressible Navier-Stokes equations
13. A second order accurate pressure-correction scheme for viscous incompressible flow
14. Comments on the fractional step method
15. Numerical calculations of time dependent viscous incompressible flow of fluid with a free surface
16. On the computational stability of numerical solutions of time-dependent non-linear geophysical fluid dynamics problems
17. The covolume approach to computing incompressible flows
18. Analysis and convergence of a covolume method for the generalized Stokes problem
19. Conservation properties of unstructured staggered mesh schemes
20. Accuracy and conservation properties of a three-dimensional staggered mesh scheme
21. The covolume approach to computing incompressible flow
22. Tools for simulating non-stationary incompressible flow via discretely divergence-free finite element models
23. The orthogonal decomposition theorems for mimetic finite difference methods
24. The dual variable method for solving fluid flow difference equations on Delaunary Triangulations
25. High Re solutions for incompressible flow using the Navier-Stokes equation and multigrid methods