Abstract
This work frames the problem of constructing non-oscillatory entropy stable fluxes as a least square optimization problem. A flux sign stability condition is defined for a pair of entropy conservative flux (F*) and a non-oscillatory flux (Fs). This novel approach paves a way to construct non-oscillatory entropy stable flux
Funding statement: Author acknowledges SERB India for fund through project EMR/2016/000394 to support authors research visit to Blockapps AI, Bangalore where initial work for this paper got carried out. Author also acknowledges SERB India for project CRG/2022/002659 which enabled author to complete this manuscript and further developments.
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