numerical viscosity 
The number of orbits of a particle of gas in the disk is 100150, testifying to a minimal influence of numerical viscosity in these computations.


We derived these temperatures by considering the energy balance in the moving gas, including heating due to the numerical viscosity that is inherent to the simulations and radiative cooling.


In our calculations with numerical viscosity v～vΔx (Δx is the unit cell size), this corresponds to time values on the order of ～(L/Δx)(L/v).


In the numerical treatment, thirdorder upwind difference scheme was applied to the convection terms of the RANS equations in order to reduce the effect of numerical viscosity.


We prove that adding a suitable vanishing numerical viscosity term leads to a uniform (with respect to the mesh size) exponential decay of the energy of solutions.


This numerical viscosity term damps out the high frequency numerical spurious oscillations while the convergence of the scheme towards the original damped wave equation is kept.


Then we prove that adding a suitable vanishing numerical viscosity term leads to a uniform (with respect to the mesh size) exponential decay of the energy of solutions.


This numerical viscosity term damps out the high frequency numerical spurious oscillations while the convergence of the scheme towards the original damped wave equation is kept.


Advective alignment is not addressed by semicoarsening but by using enough transverse numerical viscosity.


A side benefit of these schemes is their reduced dissipation, or numerical viscosity.


However, the discretisation of the equations still leads to a numerical viscosity.


In combination with the piecewise parabolic method, this entails difficulties stemming from the significant numerical viscosity of the scheme.


Local LF is less diffusive than normal LF, since it locally limits the numerical viscosity instead of having a uniform viscosity on the entire domain.


Numerical viscosity and convergence of finite volume methods for conservation laws with boundary conditions.


Note that some level of numerical viscosity is intrinsic to all SPH schemes, even though we are modelling an ideal gas.


Since it does not introduce numerical viscosity at all, we obtain a very good resolution for an inviscid problem.


Since the numerical viscosity is the cause of the incorrect speed, a natural idea is to avoid any numerical viscosity.


Since the random choice method does not introduce numerical viscosity, no spurious waves will occur.


Since upwind schemes add numerical viscosity or diffusion to the equations, thus the viscosity solution is also smeared.


To account for any dynamical effects that might occur in the mesh during unloading, an appropriate amount of numerical viscosity was added.

