Stochastic Approach to the Vanishing Viscosity Method

2021 ◽  
pp. 92-106
Author(s):  
Yana Belopolskaya
Keyword(s):  
Stochastic Approach ◽  
Viscosity Method ◽  
Vanishing Viscosity

scholarly journals Vanishing Viscosity Method for Transonic Flow

2008 ◽  
Vol 189 (1) ◽  
pp. 159-188 ◽  
Author(s):  
Gui-Qiang Chen ◽  
Marshall Slemrod ◽  
Dehua Wang
Keyword(s):  
Transonic Flow ◽  
Viscosity Method ◽  
Vanishing Viscosity

COUPLING OF MULTIDIMENSIONAL PARABOLIC AND HYPERBOLIC EQUATIONS

2006 ◽  
Vol 03 (01) ◽  
pp. 53-80 ◽  
Author(s):  
GLORIA AGUILAR ◽  
LAURENT LÉVI ◽  
MONIQUE MADAUNE-TORT
Keyword(s):  
Hyperbolic Equations ◽  
Type Equation ◽  
Entropy Inequality ◽  
Order Operator ◽  
Viscosity Method ◽  
Vanishing Viscosity ◽  
Reaction Type ◽  
First Order ◽  
Definition Of ◽  
Uniqueness Proof

This paper deals with the mathematical analysis of a quasilinear parabolic-hyperbolic problem in a multidimensional bounded domain Ω. In a region Ωp a diffusion-advection-reaction type equation is set, while in the complementary Ωh ≡ Ω\Ωp, only advection-reaction terms are taken into account. To begin we provide a definition of a weak solution through an entropy inequality on the whole domain. Since the interface ∂Ωp ∩ ∂Ωh contains outward characteristics for the first-order operator in Ωh, the uniqueness proof starts by considering first the hyperbolic zone and then the parabolic one. The existence property uses the vanishing viscosity method and to pass to the limit on the hyperbolic zone, we refer to the notion of process solution.

Coarse Resolution Turbulence Simulations With Spectral Vanishing Viscosity—Large-Eddy Simulations (SVV-LES)

2002 ◽  
Vol 124 (4) ◽  
pp. 886-891 ◽  
Author(s):  
Robert M. Kirby ◽  
George Em Karniadakis
Keyword(s):  
Channel Flow ◽  
Large Eddy Simulations ◽  
Viscosity Method ◽  
Vanishing Viscosity ◽  
Coarse Resolution ◽  
Large Eddy

We present a new implementation of the spectral vanishing viscosity method appropriate for alternative formulations of large-eddy simulations. We first review the method and subsequently present results for turbulent incompressible channel flow.

Vanishing Viscosity Method for Incompressible Fluids

2002 ◽  
Vol 4 (2) ◽  
pp. 145-154
Author(s):  
H. Bellout ◽  
E. Cornea ◽  
Š. Nečasová
Keyword(s):  
Incompressible Fluids ◽  
Viscosity Method ◽  
Vanishing Viscosity
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