Antonio Baeza, Raimund Bürger, Pep Mulet, David Zorío:
Weno reconstructions of unconditionally optimal high order
A modied Weighted Essentially Non-Oscillatory (WENO) technique preventing accuracy loss near smooth extrema, regardless of their order, is presented. This approach uses only local data from around the reconstruction stencil. The resulting weights to account for discontinuities are nondimensional and scale-independent. Two different ways to dene the weights and prove that both give the sought accuracy order are provided. Several validation tests are also presented, in which the method is applied to algebraic equations, scalar conservation laws and systems of conservation laws.
This preprint gave rise to the following definitive publication(s):
Antonio BAEZA, Raimund BüRGER, Pep MULET, David ZORíO: Weno reconstructions of unconditionally optimal high order. SIAM Journal on Numerical Analysis, vol. 57, no. 6, pp. 2760-2784, (2019).