Hybrid tuned center-difference-WENO method for large eddy simulations in the presence of strong shocks

By David J. Hill, Dale I. Pullin. 2004

315 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/eb58a3f1bbe5cc452cf9cb2410d68b4012c95501

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In Aerospace Engineering

In Computational Mechanics

Citations in the corpus

A family of high-order targeted ENO schemes for compressible-fluid simulations (2016, background): “In order to decrease the dissipation induced by the nonlinear adaption, Hill and Pullin [21] propose a switch function to freeze the adaption when the ratio between the largest and the smallest calculated smoothness indicator does not exceed a certain threshold.”
Numerical Methods for High-Speed Flows (2011, methodology): “Follow-up studies of the ‘optimized’ WENO strategy have been reported by Hill & Pullin (2004), Mart́ın et al. (2006), and Taylor et al. (2007).”
Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves (2010, methodology): “, the sensor by Hill and Pullin [18] works well for this problem.”
Large-eddy simulation and multiscale modelling of a Richtmyer–Meshkov instability with reshock (2006, methodology): “Numerical method An improved version of the TCD-WENO hybrid method (Hill & Pullin 2004), based on tuned centre-difference (TCD) stencils is used to integrate the equations of motion in conjunction with a third-order strong-stability preserving (SSP) Runge–Kutta timestepping scheme (Gottlieb, Shu &…”
High order Hybrid central-WENO finite difference scheme for conservation laws (2007, methodology): “By avoiding the computationally expensive characteristics decomposition/recomposition and Jacobian evaluations of the WENO finite difference scheme, it is anticipated that the Hybrid scheme will provide greater efficiency and resolution, in particular, for large scale simulations of turbulence [10].”
High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains (2013, methodology): “Solution methods for these problems are typically high-order adaptive [1, 2] or hybrid [3] schemes or highly dissipative loworder methods.”
Large-eddy simulation and wall modelling of turbulent channel flow (2009, methodology): “Setting d4 = 0 recovers the standard sixth-order explicit scheme; setting d4 = −1/280 recovers the standard eighth-order explicit scheme; d4 is determined by minimizing the Ghosal truncation error (Ghosal 1996), a procedure detailed by Hill & Pullin (2004).”
Unstructured Large-Eddy Simulations of Supersonic Jets (2017, methodology): “Here, Charles uses a hybrid switch [29] to identify the presence of flow discontinuities, and then a fully unstructured second-order Essentially Non-Oscillatory method to”