[TurbJet]

Greetings,

In Ferziger's book, for FVM, no matter what kind of interpolation scheme they discuss (in Chap.4.4, e.g., CDS, UDS, QUICK, etc), the values on cell faces are unique (if I understand it correctly): i.e., there are no left & right states as in those cases where methods like Riemann solver or flux-vector splitting are used. The latter appears to me that are majorly used in gasdynamics, namely for convection-dominated problems, high-speed flows, or hyperbolic equations.

So, is it correct to say that the approach in Ferziger's book is more suitable for incompresssible flows (or low-speed flows, or for parabolic/elliptic equations), whereas methods discussed in, e.g., the book by LeVeque or Toro's book, are for high-speed/compressible flows (or hyperbolic equations)?

Or, is it because what Ferziger presented in Chap.4 is for linear equations, thus no left & right states will show up? But what about when actually solving incompressible NS equations?