A novel single-step explicit time-marching procedure with improved dissipative, dispersive and stability properties

In this paper, a novel explicit time-marching procedure is presented for the solution of hyperbolic models. The proposed technique stands as a simple, single-step, single-parameter, self-starting, second-order accurate procedure, which enables reduced dissipative and dispersive errors, as well as provides enhanced stability conditions. The time integrator of the new technique, whose value may vary between zero and one, allows introducing improved numerical damping into the analysis, reducing spurious non-physical oscillations that occur due to the excitation of spatially unresolved modes, barely affecting the important low-frequency modes of the model. Numerical results are provided along the manuscript, illustrating the enhanced performance of the proposed explicit time-marching technique. (C) 2021 Elsevier B.V. All rights reserved.