Analysis and convergence of the MAC scheme. II. Navier-Stokes equations

@article{Nicolaides1996AnalysisAC,
  title={Analysis and convergence of the MAC scheme. II. Navier-Stokes equations},
  author={Roy A. Nicolaides and Xin Wu},
  journal={Math. Comput.},
  year={1996},
  volume={65},
  pages={29-44}
}
The MAC discretization scheme for the incompressible NavierStokes equations is interpreted as a covolume approximation to the equations. Using some results from earlier papers dealing with covolume error estimates for div-curl equation systems, and under certain conditions on the data and the solutions of the Navier-Stokes equations, we obtain first-order error estimates for both the vorticity and the pressure. 

From This Paper

Figures, tables, and topics from this paper.

Citations

Publications citing this paper.
Showing 1-10 of 37 extracted citations

References

Publications referenced by this paper.
Showing 1-6 of 6 references

Raviart, Finite element methods for Navier-Stokes equations, SpringerVerlag

V. Girault, P.-A
Berlin and New York, • 1986
View 5 Excerpts
Highly Influenced

Numerical study of the three dimensional separating flow about obstacles with sharp corners

N. Baba, H. Miyata
11th Internat. Conf. Numer. Methods Fluid Dynamics (D. L. Dwoyer et al., eds.), Lecture Notes in Phys., vol • 1989
View 7 Excerpts
Highly Influenced

Error estimates for MAC-like approximations to the linear Navier-Stokes equations, Numer. Math

T. Porsching
Current address, • 1978
View 6 Excerpts
Highly Influenced

Numerical solution of the Hamel problem by a covolume method, Advances in Computational Fluid Dynamics (W

R. A. Nicolaides, X. Wu
1995
View 2 Excerpts

Porsching , Error estimates for MAClike approximations to the linear Navier - Stokes equations

T.
1995

Flow discretization by complementary volume techniques, AIAA Paper 891978

R. A. Nicolaides
Proc. 9th AIAA meeting, • 1989
View 1 Excerpt

Similar Papers

Loading similar papers…