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The magnetic part of the fluxes however is non-homogeneous and is treated using a central scheme with artificial viscosity.
In particular we stabilize a central scheme, known for its oscillatory behavior, by the construction of a nonlinear diffusion term.
An upwind spatial discretization, and a central scheme with two different formulations of the artificial dissipation operator are tested with the general hybrid meshes.
As a central scheme, the proposed CDG BGK has doubled the memory requirement as the corresponding DG scheme; on the other hand, for the convection part, the CFL time step constraint of the CDG method for numerical stability is relatively large compared with that for the DG method.
R: It is a Central scheme [scheme of the Ministry of Health, GoI] I: A central scheme, and you are implementing it?
I: Okay, so is this an implementation of a central scheme rather than something which the state thought that they needed?
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The resulting scheme is a central scheme-like method.
The system of nonlinear hyperbolic equations that models the convective transport of the fluid phases is approximated by a modified central scheme to take into account the explicit spatially discontinuous flux functions and the effects of spatially variable porosity.
These discretization methods arise from the four possible combinations that can be made with a second-order and a fourth-order central scheme for either the convective and the viscous fluxes.
The present numerical modeling of the shock/turbulence interaction consists of a second-order finite volume central scheme using a skew-symmetric form, a Jameson's type artificial dissipation, and the filtered structure function model.
A third-order one-sided finite difference scheme using a variable grid size according to the interface location is utilized to discretize the partial derivatives immediately next to the interface, while a second-order central scheme is used for the bulk of fluids.
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