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A new consistent, spatially adaptive, smoothed particle hydrodynamics (SPH) method for fluid–structureinteractions (FSI) is presented. The method combines several attributes that have not been simultaneously satisfied by other SPH methods. Specifically, it employs the second-order consistent discretization for differential operators; it allows for resolutions spatially adapted with moving (translating and rotating) boundaries of arbitrary geometries; and, it accelerates the FSI solution as the adaptive approach leads to fewer degrees of freedom without sacrificing accuracy. The key ingredients in the method are a posteriori error estimator/distance-based criterion of adaptivity and a particle-shifting technique. The method is applied in simulating six different flows or FSI problems in two dimensions. The new method’s convergence, accuracy, and efficiency attributes are assessed by comparing the results it produces with …