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An approximated solution to the 2D incompressible Navier-Stokes equations via Adomian Decomposition Method

Najafi, M ; Sharif University of Technology | 2006

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  1. Type of Document: Article
  2. Publisher: 2006
  3. Abstract:
  4. The Adomian Decomposition Method (ADM) for solving the highly non-linear vorticity-stream function formulation of 2D incompressible Navier-Stokes equations has been implemented. The analysis is accompanied by numerical boundary conditions. Also, numerical simulation, using finite difference method (FDM), is performed for comparison purposes. The obtained results only for few terms of the expansion are presented. Because present software such as Mathematica/Maple can not calculate many terms (for example: up to 10 terms) of solution and then ADM approach of this problem is an open problem case
  5. Keywords:
  6. Approximation theory ; Boundary conditions ; Computational fluid dynamics ; Computer simulation ; Finite difference method ; Mathematical models ; Adomian Decomposition Method (ADM) ; Lid-driven cavity flow ; Non-linear vorticity-stream function ; Navier Stokes equations
  7. Source: WSEAS Transactions on Mathematics ; Volume 5, Issue 7 , 2006 , Pages 878-885 ; 11092769 (ISSN)
  8. URL: https://www.researchgate.net/publication/324941127_Analytical_approximate_solutions_for_two-dimensional_incompressible_Navier-_Stokes_equations_Advances_in_Physics_Theories_and_Applications