… To discretize the equations we use high-order finite difference schemes that satisfies a
Summation-by-Parts property (SBP) together with the Simultaneous Approximation Term …

… compressible Navier–Stokes equations. The procedure leads to an energy estimate for the
linearized equations. We discretize the equations using high-order accurate finite difference …

… high-order finite volume method for solution of compressible Navier-Stokes equations on …
polynomial approximation, the k-exact method is usually more stable than the spectral volume …

… finite difference methods of high order and use them in practical computations of compressible
Navier–Stokes … improve on the stability of the high-order centered-difference methods by …

… In practice, the WENO-JS scheme provides stable numerical solutions for most … a high order
accurate positivity-preserving finite difference WENO scheme for compressible NS equations …

… high-order as the interior is shown to be stable, when applied to the two-dimensional
incompressible Navier–Stokes equations, … of the high-order compact finite difference schemes are …

… stability analysis and transition prediction of hypersonic flows are efficiently provided. In the
present work, the high-order … factored scheme for the compressible Navier–Stokes equations. …

… a new high-order shock-fitting finite-difference method for the DNS of the stability and transition
… For the compressible Navier–Stokes equations (1) in a conservation-law form, the second…

… , the condition of the TV-stable scheme must be satisfied essentially. This condition has …
scalar equation or linearized system of equations as well as that of the TVD scheme. Therefore, if …

… high-order finite difference schemes for the compress- ible Euler (and Navier–Stokes
equations… For the compressible Navier–Stokes equations this condition is not necessary and a …