Energy stable flux reconstruction schemes for advection–diffusion problems
نویسنده
چکیده
Article history: Received 20 December 2012 Received in revised form 1 July 2013 Accepted 20 August 2013 Available online 30 August 2013
منابع مشابه
An Extension of Energy Stable Flux Reconstruction to Unsteady, Non-linear, Viscous Problems on Mixed Grids
This paper extends the high-order Flux Reconstruction (FR) approach to the treatment of non-linear diffusive fluxes on triangles. The FR approach for solving diffusion problems is reviewed on quadrilaterals and extended for triangles, allowing the treatment of mixed grids. In particular, this paper examines a subset of FR schemes, referred to as VincentCastonguay-Jameson-Huynh (VCJH) schemes, w...
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The authors recently identified an infinite range of high-order energy stable flux reconstruction (FR) schemes in 1D and on triangular elements in 2D. The new flux reconstruction schemes are linearly stable for all orders of accuracy in a norm of Sobolev type. They are parameterized by a single scalar quantity, which if chosen judiciously leads to the recovery of various well known high-order m...
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In the original publication, the authors would like to correct equations (37) and (119) as follows: 1. The text immediately following Eq.
متن کاملEnergy stable flux reconstruction schemes for advection-diffusion problems on triangles
Article history: Received 20 December 2012 Received in revised form 15 April 2013 Accepted 7 May 2013 Available online 20 May 2013
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