A Spectral Vanishing Viscosity Method for Large-Eddy Simulations

Spectral Vanishing Viscosity Method for Large-Eddy Simulation of Turbulent Flows

The spectral vanishing viscosity (SVV) method was introduced in the late 80’s [24] in order to solve, with the spectral Fourier method, 1D non-linear conservations laws (typically, the inviscid Burgers equation). The non-periodic case was investigated later [16], using a Legendre polynomial approximation. In both cases the basic idea is to introduce a SVV term VN , only active in the high frequ...

Spectral Vanishing Viscosity Method for Nonlinear

We propose a new spectral viscosity (SV) scheme for the accurate solution of nonlinear conservation laws. It is proved that the SV solution converges to the unique entropy solution under appropriate reasonable conditions. The proposed SV scheme is implemented directly on high modes of the computed solution. This should be compared with the original nonperiodic SV scheme introduced by Maday, Oul...

A spectral vanishing viscosity method for stabilizing viscoelastic flows

A new method for stabilizing viscoelastic flows is proposed suitable for high-order discretizations. It employs a mode-dependent diffusion operator that guarantees monotonicity while maintaining the formal accuracy of the discretization. Other features of the method are: a high-order time-splitting scheme, modal spectral element expansions on a single grid, and the use of a finitely extensible ...

Spectral Vanishing Viscosity Method For Nonlinear Conservation Laws

Vanishing Viscosity Method for Transonic Flow

A vanishing viscosity method is formulated for two-dimensional transonic steady irrotational compressible fluid flows with adiabatic constant γ ∈ [1, 3). This formulation allows a family of invariant regions in the phase plane for the corresponding viscous problem, which implies an upper bound uniformly away from cavitation for the viscous approximate velocity fields. Mathematical entropy pairs...