This work focuses on the development and application of a new method whose aim is the robust and accurate quantification of exergy loss (equivalently referred to as anergy generation) due to the formation of shockwaves. Its particular interest lies in objectively distinguishing between components of irreversible exergy dissipation in the grey zones where their respective dominant contributions overlap. Such a distinction is commonly of interest as part of a flowfield analysis using an exergy balance formulation, which can be employed for fine aerodynamic performance assessment in aeronautics applications. The present work also discusses the advantages and potential shortcomings of the method, before presenting some results of its application in reference configurations. The proposed method has the significant advantage of not relying on the definition of a boundary between the shockwave and regions of other irreversible losses (viscous effects, thermal mixing, heat conduction). It is therefore more straightforward, and even becomes indispensable in cases where shockwave losses are important but occur in regions where other irreversible losses are also non-negligible (e.g. shockwaves formed within the wake of an upstream component such as in turbomachinery rows, outlet guide vanes downstream of a fan, shocked nozzle exhaust). • Loss breakdown without separating shockwaves from other irreversible effects. • Discussion of advantages/limitations of different shockwave loss computation methods. • Application of the method to reference academic configurations.