Rossby Wave Frequencies and Group Velocities for Finite Element and Finite Difference Approximations to the Vorticity-Divergence and the Primitive Forms of the Shallow Water Equations

1989 ◽  
Vol 117 (7) ◽  
pp. 1439-1457 ◽  
Author(s):  
Beny Neta ◽  
R. T. Williams
Keyword(s):  
Finite Element ◽  
Finite Difference ◽  
Shallow Water ◽  
Rossby Wave ◽  
Shallow Water Equations ◽  
Finite Difference Approximations ◽  
Difference Approximations ◽  
Primitive Forms ◽  
Group Velocities

RECENT DEVELOPMENTS IN THE NUMERICAL SIMULATION OF SHALLOW WATER EQUATIONS II: TEMPORAL DISCRETIZATION

1994 ◽  
Vol 04 (04) ◽  
pp. 533-556 ◽  
Author(s):  
V. AGOSHKOV ◽  
E. OVCHINNIKOV ◽  
A. QUARTERONI ◽  
F. SALERI
Keyword(s):  
Numerical Simulation ◽  
Finite Element ◽  
Finite Difference ◽  
Shallow Water ◽  
Shallow Water Equations ◽  
Numerical Results ◽  
Finite Difference Approximation ◽  
Difference Approximation ◽  
Recent Developments ◽  
Numerical Approaches

This paper deals with time-advancing schemes for shallow water equations. We review some of the existing numerical approaches, propose new schemes and investigate their stability. We present numerical results obtained using the time-advancing schemes proposed, with finite element and finite difference approximation in space variables.

A Determination of Cavitation Interfaces in Fluid Film Bearings Using Finite Element Analysis

1980 ◽  
Vol 22 (6) ◽  
pp. 277-285 ◽  
Author(s):  
H. Hayashi ◽  
C. M. Taylor
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Numerical Analysis ◽  
Finite Difference ◽  
Element Analysis ◽  
Finite Difference Approximations ◽  
Fluid Film Bearings ◽  
Difference Approximations ◽  
Overall Performance

The location of both rupture and reformation boundaries in liquid film bearings is important in determining overall performance characteristics. Finite difference approximations have been most widely used in the numerical analysis of hydrodynamic bearings, and the problem of determining cavitation interfaces may be trivial or extremely complex depending upon the physical model adopted. For some situations finite element analysis may offer an advantage and this possibility is investigated here.

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