A NEW ARTIFICIAL VISCOSITY METHOD FOR COMPRESSIBLE VISCOUS FLOW SIMULATIONS BY FEM

1993 ◽  
Vol 1 (1) ◽  
pp. 25-41 ◽  
Author(s):  
SYLVAIN BOIVIN ◽  
MICHAEL FORTIN
Keyword(s):  
Viscous Flow ◽  
Artificial Viscosity ◽  
Viscosity Method ◽  
Flow Simulations

scholarly journals Viscous flow simulations through multi-lobe progressive cavity pumps

2020 ◽  
Vol 17 (3) ◽  
pp. 768-780
Author(s):  
F. M. El-Abd ◽  
E. M. Wahba ◽  
I. G. Adam
Keyword(s):  
Viscous Flow ◽  
Flow Simulations

Convergence of the viscosity method for some nonlinear hyperbolic systems

1994 ◽  
Vol 124 (2) ◽  
pp. 341-352 ◽  
Author(s):  
Yunguang Lu
Keyword(s):  
Perturbation Theory ◽  
Hyperbolic Systems ◽  
Artificial Viscosity ◽  
Singular Perturbation Theory ◽  
Compensated Compactness ◽  
Cauchy Problems ◽  
Single Variable ◽  
Viscosity Method ◽  
Entropy Flux ◽  
Nonlinear Hyperbolic Systems

In this paper some special entropy–entropy flux pairs of Lax type are constructed for nonlinear hyperbolic systems of types (1.1) and (1.2), in which the progression terms are functions of a single variable. The necessary estimates for the major terms are obtained by the use of singular perturbation theory. The special entropies provide a convergence theorem in the strong topology for the artificial viscosity method when applied to the Cauchy problems (1.1), (1.3) and (1.2), (1.3) and used together with the theory of compensated compactness.

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