New Efficient High-Resolution Method for Nonlinear Problems in Aeroacoustics

CABARET in the ocean gyres

“…In our numerical algorithm, the -term component (42) is added to the equations at the predictor time step (27).…”

“…Later, Goloviznin and co-workers developed CABARET versions with the limiters (Goloviznin and Karabasov, 1998) and extended the method to multidimensional wave dispersion in fracturated porous medium ) and gas dynamics (Goloviznin, 2005;Karabasov and Goloviznin, 2007).…”

CFD validation in OECD/NEA t-junction benchmark.

“…In order to lessen the computational grid requirements, the code uses hybrid unstructured hexahedral/tetrahedral grids. CABARET is extension of the original second-order upwind leapfrog scheme [14] to nonlinear conservation laws [21,11] and to multiple dimensions [12,17]. In summary, CABARET is an explicit nondissipative conservative finite-difference scheme of second-order approximation in space and time.…”

Airfoil flow and noise computation using CABARET monotonically integrated large eddy simulation and acoustic analogy: Effect of the grid resolution

“…The code solves compressible Navier-Stokes equations. CABARET stands for Compact Accurately Adjusting highResolution Technique (Karabasov and Goloviznin, 2009) that is the extension of Upwind Leapfrog (UL) methods (Iserlis, 1986; Roe, 1998; Samarski and Goloviznin 1998 and Goloviznin, 2006; Karabasov and Goloviznin, 2007) to non-oscillatory conservative schemes on staggered grids with preserving low dissipative and low dispersive properties. In comparison to many CFD schemes, CABARET has a very compact stencil which for linear advection that takes only one computational cell in space and time.…”