In this paper, we investigate the application of a temporal spectral viscosity (TSV) operator to eliminate aliasing errors associated with the high-dimensional harmonic balance technique (HDHB), which is an efficient method for modeling nonlinear time-periodic problems. Previous studies have shown that aliasing errors may slow down the convergence rate, trigger a nonlinear instability or lead to non-physical solutions. A temporal spectral viscosity operator, similar to that used in the pseudo-spectral method, is introduced. The temporal spectral viscosity is added to the high frequency modes to eliminate aliasing errors so as to ensure the convergence to the physical solution. The implementation of the technique is straightforward and can be incorporated into the high-dimensional harmonic balance solver as a matrix operator. The accuracy of the modified method is demonstrated for a few test cases and shows promise for the problems considered here.
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