Numerical 

 Method 



Table 2.2 



Citsslfication of Models According to Important Numerical Features 



Equations 

 Solved 



Time-Differencing 

 Scheme 



Spatial-Differencing 

 Scheme 



Grid 

 Structure 



Host 

 Computer 



Finite- 



Primitive 



Explicit 



Advection Terms: 



Rectangular 



Mini 



Difference 















Surface 



Implicit 



Upwind 



Cylindrical 



Main 





Displacement 









Frame 



Finite- 





Semi-Implicit 



Second-Order 



Spherical 





Element 



Velocities 





Higher-Order 







Spectral 



Temperature 



Leapfrog 

 Forward-Time 



Flux-corrected 

 Transport 



Uniform 



Non- 

 Virtual 





Density 





Poisson Solver: 



Non- 

 uniform 



Virtual 





Poisson 





Iterative 



Boundary- 

 Fitted 







Stream 













Function 





Direct Solver 





Vector- 

 ized 





Vorticity 

















Stretched 



Non- 













Vector- 





Pressure 







Non- 

 Stretched 



ized 





Surface 













Displace- 













nent 











13 



