scholarly journals Constructing general rough differential equations through flow approximations

2022 ◽  
Vol 27 (none) ◽  
Author(s):  
Antoine Lejay
Keyword(s):  
Differential Equations ◽  
Through Flow

Integral Method for Flow Between Corotating Disks

1971 ◽  
Vol 93 (3) ◽  
pp. 350-354 ◽  
Author(s):  
B. E. Boyack ◽  
W. Rice
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Differential Equations ◽  
Difference Method ◽  
Integral Method ◽  
Three Dimensional ◽  
Computational Time ◽  
Through Flow ◽  
Incompressible Newtonian Fluid ◽  
Layer Flow

An integral method is developed for the three-dimensional, nonboundary-layer flow which occurs for laminar, radially inward through-flow of an incompressible Newtonian fluid between parallel corotating disks. The method is a forward-stepping procedure which forces satisfaction of integrals of the governing differential equations, plus boundary conditions, plus the governing differential equations at every radius. The velocity components are represented by polynomials of order N; the method is extendable with extraordinary ease to any value of N. It is reported that, with N = 8, the results agree very closely with results earlier obtained by a conventional finite-difference method and which agree with experiment. It is pointed out that the method presented is extremely conservative of computational time and might be adapted to many other problems.

Partial Differential Equations

2020 ◽  
Author(s):  
A. K. Nandakumaran ◽  
P. S. Datti
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Partial Differential
Sign in / Sign up

Export Citation Format

Share Document