TY - JOUR
T1 - DNS of Forced Mixing Layer
AU - Maghrebi , M. J.
AU - Zarghami , A.
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 173
EP - 193
PY - 2010
DA - 2010/07
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/715.html
KW - Mixing layer, compact finite difference, mapped finite difference, self-similarity.
AB - <p style="text-align: justify;">The non-dimensional form of Navier-Stokes equations for two dimensional mixing layer flow are solved using direct numerical simulation. The
governing equations are discretized in streamwise and cross stream direction using a sixth order compact finite difference scheme and a mapped compact finite
difference method, respectively. A tangent mapping of $y =\beta\tan(\pi \zeta/2)$ is used
to relate the physical domain of $y$ to the computational domain of $\zeta$. The third
order Runge-Kutta method is used for the time-advancement purpose. The
convective outflow boundary condition is employed to create a non-reflective
type boundary condition at the outlet. An inviscid (Stuart flow) and a completely viscous solution of the Navier-Stokes equations are used for verification
of the numerical simulation. The numerical results show a very good accuracy
and agreement with the exact solution of the Navier-Stokes equation. The results of mixing layer simulation also indicate that the time traces of the velocity
components are periodic. Results in self-similar coordinate were also investigated which indicate that the time-averaged statistics for velocity, vorticity,
turbulence intensities and Reynolds stress distribution tend to collapse on top
of each other at the flow downstream locations.</p>