Numerical Investigation of the Boussinesq Equations Through a Subgrid Artificial Viscosity Method

2020 ◽  
pp. 293-301
Author(s):  
Medine Demir ◽  
Songül Kaya
Keyword(s):  
Numerical Investigation ◽  
Boussinesq Equations ◽  
Artificial Viscosity ◽  
Viscosity Method

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.

A meshless artificial viscosity method for wet-dry moving interfaces problems of shallow water flow

2021 ◽  
Vol 236 ◽  
pp. 109447
Author(s):  
Ting Zhang ◽  
Chang-Xun Zhan ◽  
Hai-Wei Wang ◽  
Chuan Lin ◽  
Xiao-Mei Guo
Keyword(s):  
Shallow Water ◽  
Water Flow ◽  
Artificial Viscosity ◽  
Viscosity Method ◽  
Shallow Water Flow ◽  
Moving Interfaces
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