artificial dissipation 
The emphasis here is on the analysis of the effects on the solution of artificial dissipation schemes, which are necessary in order to capture properly the physics of the phenomenon.


Second order artificial dissipation is added, in an effort to regularize the problem.


For initial data that is smooth in the nonhyperbolic region, the formation of jumps, or viscid layers, is strongly dependent on the amount of artificial dissipation.


No convergence is obtained as the amount of artificial dissipation is diminished.


In this case convergence in the L2 sense seem to hold, the computed solutions to the regularized problem approach a weak solution as the artificial dissipation is diminished.


In the latter method a larger amount of artificial dissipation is required since different control volumes are used for the discretization of the viscous and convective fluxes.


Attenuating Artificial Dissipation in the Computation of NavierStokes Turbulent Boundary Layers


We propose a new formulation of the fourthdifference artificial dissipation coefficient needed for the NavierStokes solutions.


The suggested scaling function damps the artificial dissipation across the boundary layer.


Also, the MG scheme is sensitive to the amount of artificial dissipation added, while the SC method is not.


Stability for nonlinear convection problems using centered difference schemes require the addition of artificial dissipation.


Conservative Finite Difference Formulations, Variable Coefficients, Energy Estimates and Artificial Dissipation


Artificial dissipation terms for finite difference approximations of linear hyperbolic problems with variable coefficients are determined such that an energy estimate and strict stability is obtained.


Only a fourth order artificial dissipation has been used here for global stability of the solution.


A modified artificial dissipation based on the timestep limit for convective and diffusive equation has been used for numerical stability.


In order to get smooth convergence for transonic, viscous flows, the artificial dissipation has been modified by using the time step for advective and diffusive equations.


A single function evaluation includes calculation of the fluxes, pressure field, artificial dissipation and boundary conditions.


A modified JST scheme9, 10 is implemented to add in thirdorder artificial dissipation for numerical stability.


Convection terms are treated by a second order central scheme associated with artificial dissipation terms.


Convective fluxes are approximated using a secondorder central difference scheme stabilized with scalar artificial dissipation.

