Furthermore, for the power parameter p in the nonlinear weights of the previous (2r-1)th order WENO schemes, only the range of choices is given and the optimal value could be problem dependent. In this article, another class of very high order WENO schemes is constructed by using more ...
The new class of schemes is based on a three stage procedure. First a high-order WENO reconstruction procedure is applied to the cell averages at the current time level. Second, the temporal evolution of the reconstruction polynomials is computed locally inside each cell using the governing ...
Gerolymos, G., Senechal, D., Vallet, I.: Very-high-order WENO schemes. J. Comput. Phys. 228(23), 8481-8524 (2009). https://doi.org/10.1016/j.jcp.2009.07.039Gerolymos G A, Senechal D, Vallet I. Very-high-order WENO schemes [ J ]. Journal of Computational Physics 2009, 228...
WENOVery-high-order schemeGas dynamicsLow-pressure flowsPositivity-preserving limiterIn this paper, a new family of very-high-order TENO schemes with adaptive accuracy order and adaptive dissipation control (TENO-AA) is proposed. The new framework allows for constructing arbitrarily high-order TENO ...
high-order schemesReynolds-stressesThe purpose of the present paper is to evaluate very-high-order upwind schemes for the direct numerical simulation (DNS) of compressible wall-turbulence. We study upwind-biased (UW) and weighted essentially nonoscillatory (WENO) schemes of increasingly higher order-...
WENOTwo-dimensional, nonlinear diffusion-limited colliding plumes simulations were used to demonstrate the improved solution accuracy with very high order O9-18 flux schemes, including upwind-biased and even-centred constant grid flux and Crowley constant grid flux schemes, and odd order weighted ...
A fifth-order WENO scheme is employed with matching fifth-order reconstruction at the boundaries. Arbitrary high-order reconstruction for smooth flows is achievable independently of the underlying differential equation since the method works as a black-box dedicated to boundary condition treatment....