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The construction of high-order structure-preserving numerical schemes tosolve hyperbolic conservation laws has attracted a lot of attention in the lastdecades and various different ansatzes exist. In this paper, we compare threecompletely different approaches, i.e. physical constraint limiting, deep neuralnetworks and the application of polynomial annihilation to construct high-orderoscillation free Finite Volume (FV) blending schemes. We further analyze theiranalytical and numerical properties. We demonstrate that all techniques can beused and yield highly efficient FV methods but also come with some additionaldrawbacks which we point out. Our investigation of the different blendingstrategies should lead to a better understanding of those techniques and can betransferred to other numerical methods as well which use similar ideas.

Comparison to control oscillations in high-order Finite Volume schemes via physical constraint limiters, neural networks and polynomial annihilation