An Unconditionally Stable Convergent Finite Difference Method for Navier–Stokes Problems on Curved Domains

1987 ◽  
Vol 24 (6) ◽  
pp. 1233-1248 ◽  
Author(s):  
J. H. Ellison ◽  
C. A. Hall ◽  
T. A. Porsching
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Navier Stokes ◽  
Unconditionally Stable ◽  
Stokes Problems ◽  
Curved Domains

scholarly journals Calculating Rotordynamic Coefficients of Seals by Finite-Difference Techniques

1987 ◽  
Vol 109 (3) ◽  
pp. 388-394 ◽  
Author(s):  
F. J. Dietzen ◽  
R. Nordmann
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Flow Field ◽  
Pressure Distribution ◽  
Difference Method ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Rotordynamic Coefficients ◽  
Finite Difference Techniques

For modelling the turbulent flow in a seal the Navier-Stokes equations in connection with a turbulence model (k-ε-model) are solved by a finite-difference method. A motion of the shaft around the centered position is assumed. After calculating the corresponding flow field and the pressure distribution, the rotordynamic coefficients of the seal can be determined. These coefficients are compared with results obtained by using the bulk flow theory of Childs [1] and with experimental results.

Application of a generalized finite difference method to mould filling process

2017 ◽  
Vol 29 (3) ◽  
pp. 450-469 ◽  
Author(s):  
E. O. RESÉNDIZ-FLORES ◽  
J. KUHNERT ◽  
F. R. SAUCEDO-ZENDEJO
Keyword(s):  
Free Surface ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Stokes Equations ◽  
Free Surface Flows ◽  
Three Dimensions ◽  
Navier Stokes ◽  
Filling Process ◽  
Mould Filling

This paper proposes the use of a generalized finite difference method for the numerical simulation of free surface single phase flows during mould filling process which are common in some industrial processes particularly in the area of metal casting. A novel and efficient idea for the computation of the normal vectors for free surface flows is introduced and presented for the first time. The incompressible Navier–Stokes equations are numerically solved by the well-known Chorin's projection method. After we showed the main ideas behind the meshless approach, some numerical results in two and three dimensions are presented corresponding to mould filling process simulation.

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