scholarly journals Drop separation by numerical solution of the Navier-Stokes equation

1978 ◽  
Author(s):  
Dale Alan Fitzgibbons
Keyword(s):  
Numerical Solution ◽  
Stokes Equation ◽  
Navier Stokes ◽  
Navier Stokes Equation

scholarly journals Numerical solution of Navier stokes equation using control volume and finite element method

2016 ◽  
Vol 5 (1) ◽  
pp. 63
Author(s):  
Musa Adam Aigo
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Solution ◽  
Stokes Equation ◽  
Control Volume ◽  
Navier Stokes ◽  
Weak Formulation ◽  
Navier Stokes Equation ◽  
Fast Solution ◽  
Element Method

<p>The aim of this paper is twofold first we will  provide a numerical solution of the Navier Stokes equation using the Projection technique and finite element method. The problem will be introduced in weak formulation and a Finite Element method will be developed, then solve in a fast way the sparse system derived. Second, the projection method with Control volume approach will be applied to get a fast solution, in iterations count.</p>

An Efficient Technique of Linearization towards Fourth Order Finite Differences for Numerical Solution of the 1D Burgers Equation

2014 ◽  
Vol 348 ◽  
pp. 285-290 ◽  
Author(s):  
M.M. Cruz ◽  
M.D. Campos ◽  
J.A. Martins ◽  
E.C. Romão
Keyword(s):  
Pressure Gradient ◽  
Numerical Solution ◽  
Stokes Equation ◽  
Fourth Order ◽  
Finite Differences ◽  
Burgers Equation ◽  
Efficient Technique ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Linearization Technique

This work aims to solve the 1D Burgers equation, which represents a simplification of the Navier-Stokes equation, supposing the yielding only at x-direction and without pressure gradient. For such a solution, an implicit scheme (Cranck-Nicolson method) with a fourth order precision in space is utilized. The main contribution of this work is the application of a linearization technique of the non-linear term (advective term), and then, towards the analytical and numerical results from literature, validate and demonstrate it as being highly satisfactory.

Numerical Solution of Time Fractional Navier-Stokes Equation by Discrete Adomian decomposition method

2014 ◽  
Vol 3 (1) ◽  
pp. 21-26 ◽  
Author(s):  
Gunvant A. Birajdar
Keyword(s):  
Exact Solution ◽  
Numerical Solution ◽  
Stokes Equation ◽  
Decomposition Method ◽  
Graphical Representation ◽  
Adomian Decomposition Method ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Space Domain ◽  
Adomian Decomposition

AbstractIn this paper we find the solution of time fractional discrete Navier-Stokes equation using Adomian decomposition method. Here we discretize the space domain. The graphical representation of solution given by using Matlab software, and it compared with exact solution for alpha = 1.

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