RT - Journal Article
T1 - Developing a Shock-Capturing Formulation with Higher Performance to Capture Normal Standing Shock in All-Speed Regime
JF - iut-jcme
YR - 2007
JO - iut-jcme
VO - 25
IS - 2
UR - http://jcme.iut.ac.ir/article-1-398-en.html
SP - 167
EP - 181
K1 - Euler flow equations
K1 - All speed flow regime
K1 - Convergent-divergent nozzle
K1 - Collocated grid
K1 - Newton-Raphson linearization
AB - The main objective of the present study is to utilize a novel linearization strategy to linearize the convection terms of the quasi-one-dimensional Euler governing equations on collocated grids and to examine its shock-capturing capabilities. To avoid a pressure checkerboard problem on the collocated grids, it is necessary to utilize two velocity definitions at each cell face. Similarly, we define two velocity expressions at cell faces known as convecting and convected velocities. We derive them from the proper combinations of continuity and momentum equations which, in turn, provide a strong coupling among the Euler discretized equations. To achieve this, we utilize an advanced linearization strategy known as Newton-Raphson to linearize the nonlinear convection terms. The key point in this linearization is to preserve the original physics behind the two velocities in the linearization procedure. The performance of the new formulation is then investigated in a converging-diverging nozzle flow. The results show great improvement in both the performance of the original formulation and in capturing shocks. The results also indicate that the new extended formulation is robust enough to be used as an all-speed flow solver.
LA eng
UL http://jcme.iut.ac.ir/article-1-398-en.html
M3
ER -