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This paper introduces a novel paradigm for constructing linearly implicit andhigh-order unconditionally energy-stable schemes for general gradient flows,utilizing the scalar auxiliary variable (SAV) approach and the additiveRunge-Kutta (ARK) methods. We provide a rigorous proof of energy stability,unique solvability, and convergence. The proposed schemes generalizes somerecently developed high-order, energy-stable schemes and address theirshortcomings.  On the one other hand, the proposed schemes can incorporate existing SAV-RKtype methods after judiciously selecting the Butcher tables of ARK methods\cite{sav_li,sav_nlsw}. The order of a SAV-RKPC method can thus be confirmedtheoretically by the order conditions of the corresponding ARK method. Severalnew schemes are constructed based on our framework, which perform to be morestable than existing SAV-RK type methods. On the other hand, the proposedschemes do not limit to a specific form of the nonlinear part of the freeenergy and can achieve high order with fewer intermediate stages compared tothe convex splitting ARK methods \cite{csrk}.  Numerical experiments demonstrate stability and efficiency of proposedschemes.

A novel high-order linearly implicit and energy-stable additive Runge-Kutta methods for gradient flow models