Block-Structured
AMR for Compressible Flows
In
this study, a simple and efficient immersed boundary (IB) method is developed
for the numerical simulation of inviscid compressible Euler equations. We
propose a method based on coordinate transformation to calculate the unknowns
of ghost points. In present study, the body-grid intercept points are used to
build a complete bi-linear (2-D)/tri-linear (3-D) interpolation. A third order
weighted essentially non-oscillation (WENO) scheme with a new reference
smoothness indicator is proposed to improve the accuracy at the extrema and
discontinuity region. The dynamic blocked structured adaptive mesh is employed
to enhance the computational efficiency. The parallel computation with loading
balance is applied to save the computational cost for 3-D problems.
Fig. 1 Density
profiles of 1-D shock-entropy wave interaction problem with 400 cells.
Fig. 2 Density
profiles and blocks of the AMR GCIB solver for double Mach reflection.
(a) Density
(b) Mach,
(c) Pressure,
Fig. 3
Case of 
with attack
angle
.
Fig. 4 Pressure coefficient
on
the airfoil surface compared to reference results, with attack
angle.
Fig.
5 Pressure contours of the upper and lower wing.
(a) x=0.2,
(b) x=0.65,
c) x=0.9,
Fig.
6 at 3
spanwise sections.
Fig.
7 Blocks of different levels.
Reference:
C. Liu*, C.
Hu, An Immersed Boundary Solver for Inviscid Compressible Flows, International
Journal for Numerical Methods in Fluids, (2017), 85: 619-640. Link
C. Hu*, C. Liu, Simulation of Violent Free Surface Flow by AMR Method, Journal of Hydrodynamics, (2018) accepted.