Conservative Hybrid Compact-WENO Schemes for Shock-Turbulence Interaction

By Sergio Pirozzoli. 2002

506 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/d13eba51e4dbc44c1b6d7851416b86fc395b42e5

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In Applied Mathematics

In Computational Mechanics

Citations in the corpus

An adaptive central-upwind weighted essentially non-oscillatory scheme (2010, methodology): “One approach is to resort to hybrid methods, where a low-dissipation scheme is switched on or off depending on indicators reflecting the flow-field properties [2,14,15,11].”
Direct numerical simulation of transonic shock/boundary layer interaction under conditions of incipient separation (2010, methodology): “The computational strategy to solve the governing equations is a modification of a conservative finite-difference approach that has been extensively validated in previous works both for isotropic decaying compressible turbulence and for wall-bounded turbulent supersonic flows (Pirozzoli & Grasso 200”
Computational aeroacoustics: progress on nonlinear problems of sound generation (2004, methodology): “These small scales are rapidly dissipated even by higher-order (such as 5th or 7th) WENO schemes [262].”
Improvement of the WENO scheme smoothness estimator (2008, methodology): “Due to the capability of capturing shock waves and the uniformly high order accuracy in the smooth regions, the WENO (weighted essentially non-oscillatory) schemes have been widely used to study these flows[1, 2, 3, 4, 5, 6].”
Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves (2010, background): “Another avenue is the hybrid approach, in which a shock detector restricts the use of shock-capturing to regions near shocks in order to contain the dissipation in smooth regions [1,35].”
Reynolds- and Mach-number effects in canonical shock–turbulence interaction (2013, methodology): “The method devised by Pirozzoli (2002) is used to ensure conservation across these interfaces, and the numerical stability of the interfaces has been analysed and verified (Larsson & Gustafsson 2008).”
A bandwidth-optimized WENO scheme for the effective direct numerical simulation of compressible turbulence (2006, methodology): “[11] improve the hybrid compact-WENO scheme [10] by removing the abrupt switch between the compact and the shock-capturing schemes through the use of a weighted average of the two schemes.”
High order Hybrid central-WENO finite difference scheme for conservation laws (2007, methodology): “Like many adaptive methods in literature, the smoothness of the solution is measured by some criteria, such as the gradient of the solution [1,12], or by the MR procedure [3,5].”
Hybrid finite compact‐WENO schemes for shock calculation (2007, methodology): “The time step is taken as follows [19]: t = tx ty tx ty with tx = x max i, j (|ui, j | + ci, j ) , ty = y max i, j (|vi, j | + ci, j ) , = 0.”
An efficient class of WENO schemes with adaptive order (2016, methodology): “Compact-WENO schemes have, therefore, been designed to handle shocks and simultaneously increase the phase accuracy by Pirozzoli [27], Shen and Yang [32], Deng and Zhang [7].”
Direct numerical simulations of canonical shock/turbulence interaction (2008, methodology): “The solution-adaptive method introduces internal interfaces between the central and WENO schemes; these are treated in a way similar to that devised by Pirozzoli (2002) to ensure conservation of mass, momentum and total energy.”