1. A two-stage time-integration technique with Runge-Kutta methods
- Author
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Detlef Kuhl, Chuong T. Nguyen, and Khanh N. Chau
- Subjects
Runge–Kutta methods ,Amplitude ,Computer science ,Computation ,Calibration ,Applied mathematics ,Stage (hydrology) ,Dissipation ,Spurious oscillations ,Spurious relationship - Abstract
In this paper we present an implementation of the two-stage time-integration technique for solving semi-discrete systems of elastodynamics problems. This numerical approach effectively suppress the spurious high-frequency oscillations without affecting the accuracy of low modes, especially for long-term integration. At the stage of basic computations zero-dissipative Runge-Kutta methods are applied which yield no error accumulation due to numerical dissipation in the obtained solutions. Then for the suppression of spurious high-frequency oscillations, the filtering stage including pre- or/and post-processing are proceeded by using time integration methods with large numerical dissipation. Therein, the minimum necessary amount of numerical dissipation for filtering the spurious oscillations are determined by using a calibration procedure in which the amplitudes of spurious oscillations occurring the solution profile are minimized by varying stepsizes. The two-stage time integration technique is implemented...
- Published
- 2017