Entropy Stable Flux Correction for Scalar Hyperbolic Conservation Laws

It is known that Flux Corrected Transport algorithms can produce entropy-violating solutions of hyperbolic conservation laws. Our purpose to design flux correction with maximal antidiffusive fluxes obtain entropy scalar To do this we consider a hybrid difference scheme linear combination monotone and high-order accuracy. The limiters for the are calculated from corresponding optimization problem. Constraints problem consist inequalities valid applied scheme. We apply discrete cell inequality proper numerical single out physically relevant solution A nontrivial approximate yields expressions compute required limiters. present examples show not all guarantee correct