# Analytical approximate solutions for two-dimensional incompressible Navier-Stokes equations

@article{Alsaif2015AnalyticalAS, title={Analytical approximate solutions for two-dimensional incompressible Navier-Stokes equations}, author={A. Alsaif}, journal={Advances in Physics Theories and Applications}, year={2015}, volume={49}, pages={69-86} }

Analytical approximate solutions of the two-dimensional incompressible Navier-Stokes equations by means of Adomian decomposition method are presented. The power of this manageable method is confirmed by applying it for two selected flow problems: The first is the Taylor decaying vortices, and the second is the flow behind a grid, comparison with High-order upwind compact finite-difference method is made. The numerical results that are obtained for two incompressible flow problems showed that… CONTINUE READING

Top 3 of 5 Citations

An alternative theoretical approach for the derivation of analytic and numerical solutions to thermal Marangoni flows

1

A New Approximate Analytical Solutions for Two- and Three-Dimensional Unsteady Viscous Incompressible Flows by Using the Kinetically Reduced Local Navier-Stokes Equations

A new approach for solving compressible Navier-Stokes equations

5 Citations

An alternative theoretical approach for the derivation of analytic and numerical solutions to thermal Marangoni flows

- Physics
- 2017

- 1
- Open Access

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 42 REFERENCES

A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations

- Mathematics
- 1995

- 222
- Open Access

Fourth Order Compact Formulation of Navier-Stokes Equations and Driven Cavity Flow at High Reynolds Numbers

- Mathematics, Physics
- 2004

- 108
- Open Access

Upwind compact finite difference scheme for time-accurate solution of the incompressible Navier-Stokes equations

- Computer Science, Mathematics
- 2010

- 49
- Open Access

Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method

- Mathematics, Computer Science
- 2006

- 259

Numerical solution of the incompressible Navier-Stokes equations

- Mathematics, Computer Science
- 1993

- 255

Numerical solution of unsteady Navier-Stokes equations on curvilinear meshes

- Computer Science, Mathematics
- 2012

- 9
- Open Access

Spectral/hp penalty least-squares finite element formulation for the steady incompressible Navier-Stokes equations

- Computer Science, Mathematics
- 2006

- 40

Non-Graded Adaptive Grid Approaches to the Incompressible Navier-Stokes Equations

- Mathematics
- 2007

- 2
- Open Access

On the numerical solution of the system of two-dimensional Burgers' equations by the decomposition method

- Computer Science, Mathematics
- 2004

- 57
- Open Access