Abstract
In this paper, we construct several efficient numerical schemes based on two types of scalar auxiliary variable (SAV) approaches for the Cahn–Hilliard–Brinkman system. The temporal discretizations are built upon the first-order, second-order, and higher-order methods, respectively. The unconditional energy stability analyses for the constructed schemes are rigorously derived. Finally various numerical simulations are showed to demonstrate the accuracy and performance for the constructed schemes.
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