A dissipation-free numerical method to solve one-dimensional hyperbolic flow equations

2017 ◽  
Vol 85 (4) ◽  
pp. 247-263 ◽  
Author(s):  
Zhiwei Cao ◽  
Zhifeng Liu ◽  
Xiaohong Wang ◽  
Anfeng Shi ◽  
Haishan Luo ◽  
...  
Keyword(s):  
Numerical Method ◽  
One Dimensional ◽  
Flow Equations ◽  
Hyperbolic Flow

Stability of one-dimensional natural convection flows: A numerical method

1975 ◽  
Vol 2 (3) ◽  
pp. 267-277
Author(s):  
C.N. Achara ◽  
T.E. Unny ◽  
S. Satcunanathan ◽  
D.F. Parker
Keyword(s):  
Natural Convection ◽  
Numerical Method ◽  
One Dimensional

Bidimensional Fluid-Film Flows of Stokesian Fluids

1982 ◽  
Vol 104 (2) ◽  
pp. 227-233
Author(s):  
Patrick Bourgin ◽  
Bernard Gay
Keyword(s):  
Laminar Flow ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Numerical Method ◽  
Differential System ◽  
Analytic Method ◽  
Shearing Stress ◽  
Flow Equations ◽  
Approximate Analytic Method ◽  
Film Flows

The bidimensional flow equations of a Stokesian fluid are solved for the case of steady, incompressible, and laminar flow between two arbitrary moving surfaces separated by a small gap. The stress T22 and the shearing stress at one of the walls are coupled through nonlinear integro-differential equations, depending on the viscous function only. The form of this differential system is specified for the equations derived from the theory of phenomenological macrorheology, as developed by Reiner and Rivlin. The solution is proved to be unique under certain conditions and for adequate boundary conditions. An example is worked out in the particular case of one single non-Newtonian parameter. The problem is solved in two different ways, using an approximate analytic method and a numerical method. The conception of the latter allows to generalize it by introducing only slight modifications into the program.

scholarly journals A hybrid analytical-numerical method for solving water flow equations in root hydraulic architectures

2017 ◽  
Vol 52 ◽  
pp. 648-663 ◽  
Author(s):  
Félicien Meunier ◽  
Xavier Draye ◽  
Jan Vanderborght ◽  
Mathieu Javaux ◽  
Valentin Couvreur
Keyword(s):  
Numerical Method ◽  
Water Flow ◽  
Flow Equations

scholarly journals Numerical method of characteristics for one-dimensional blood flow

2015 ◽  
Vol 294 ◽  
pp. 96-109 ◽  
Author(s):  
Sebastian Acosta ◽  
Charles Puelz ◽  
Béatrice Rivière ◽  
Daniel J. Penny ◽  
Craig G. Rusin
Keyword(s):  
Blood Flow ◽  
Numerical Method ◽  
Method Of Characteristics ◽  
One Dimensional

A numerical method for the multiphase viscous flow equations

2010 ◽  
Vol 199 (49-52) ◽  
pp. 3402-3417 ◽  
Author(s):  
James M. Osborne ◽  
Jonathan P. Whiteley
Keyword(s):  
Viscous Flow ◽  
Numerical Method ◽  
Flow Equations
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