Ocean energy cascades often occur in the Western Boundary Current (WBC) region, and eddy-mean flow interactions are one of the causes of energy cascades (e.g., Arbic et al., 2013). Many researchers have investigated eddy-mean flow interactions from the Euler field, which commonly uses the Lorentz energy cycle (LEC) (Lorenz, 1955;Oort & Peixoto, 1983;Von Storch et al., 2012). The LEC based on the Reynolds decomposition of the velocity field or density field is a typical Euler method, which divides the velocity or density field into mean flow and perturbed flow. By using this method, researchers have gained a certain understanding of the eddymean flow interaction from energetics. In the WBC region, the eddy-mean flow interaction shows significant along-stream variability, and eddy kinetic energy (EKE) is generated by mixed barotropic and baroclinic instabilities, but mesoscale eddies decay because of baroclinic inverse energy cascades (Kang & Curchitser, 2015;Yan et al., 2019). The process may be because the EKE and eddy available potential energy (EPE) decay rapidly