Modeling supersonic combustion using a fully implicit numerical method

AIAA Journal ◽  
1992 ◽  
Vol 30 (4) ◽  
pp. 1008-1015 ◽  
Author(s):  
Gregory J. Wilson ◽  
Robert W. MacCormack
Keyword(s):  
Numerical Method ◽  
Supersonic Combustion ◽  
Fully Implicit ◽  
Implicit Numerical Method

A fully implicit numerical method for single-fluid resistive magnetohydrodynamics

2006 ◽  
Vol 219 (1) ◽  
pp. 144-162 ◽  
Author(s):  
Daniel R. Reynolds ◽  
Ravi Samtaney ◽  
Carol S. Woodward
Keyword(s):  
Numerical Method ◽  
Fully Implicit ◽  
Implicit Numerical Method

Elastohydrodynamic Squeeze Films: Effects of Viscoelasticity and Fluctuating Load

1979 ◽  
Vol 101 (1) ◽  
pp. 74-80 ◽  
Author(s):  
S. M. Rohde ◽  
D. Whicker ◽  
J. F. Booker
Keyword(s):  
Surface Deformation ◽  
Dynamic Responses ◽  
Film Rupture ◽  
Fully Implicit ◽  
Oscillatory Response ◽  
Generalized Newton ◽  
Newton Scheme ◽  
Bounding Surfaces ◽  
Implicit Numerical Method ◽  
Practical Implications

The dynamic responses of squeeze films to fluctuating loads are compared for the cases of rigid, elastic, and viscoelastic bounding surfaces. Unexpected and interesting differences are observed. These include the oscillatory response of indenter position to a non-negative fluctuating load and the decaying load versus time response to a prescribed indenter trajectory which remains constant over a period of time. Practical implications of these responses are noted. The transient analysis procedure, while general, is applied to a simple geometrical and physical model: an isoviscous Newtonian fluid squeezed between circular, initially flat, three-element viscoelastic Winkler solids. Surface deformation rate and film rupture are incorporated. The fully implicit numerical method utilizes a generalized Newton scheme together with finite element spatial discretization.

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