Application of a Moving Particle Semi-Implicit Numerical Wave Flume (MPS-NWF) to model design waves

Lagrangian modelling of nonlinear viscous waves generated by moving seabed deformation

“…Usually, such a method is subject to strong numerical instabilities. Suppression of spurious numerical oscillations requires the introduction of corrective terms in the original PPE [23,18]. For example, the recent MPS method of [23] uses two error-compensating terms in the PPE to improve numerical stability, enabling the model to reproduce design waves of practical interest with a 1% root-mean-square (RMS) error with respect to experimental data.…”

“…Suppression of spurious numerical oscillations requires the introduction of corrective terms in the original PPE [23,18]. For example, the recent MPS method of [23] uses two error-compensating terms in the PPE to improve numerical stability, enabling the model to reproduce design waves of practical interest with a 1% root-mean-square (RMS) error with respect to experimental data. A drawback of [23]'s model is the significant computational time needed by the semi-implicit scheme, and the presence of empirical pressure parameters that require tuning.…”

“…For example, the recent MPS method of [23] uses two error-compensating terms in the PPE to improve numerical stability, enabling the model to reproduce design waves of practical interest with a 1% root-mean-square (RMS) error with respect to experimental data. A drawback of [23]'s model is the significant computational time needed by the semi-implicit scheme, and the presence of empirical pressure parameters that require tuning. Here we consider an alternative weakly compressible approach, which is much faster to implement.…”

“…The MPS model (with 83,418 particles, 15 hours computational time) was able to predict the behaviour of the free surface better and with far fewer particles than the SPH model (154,735 particles, 80 hours computational time). A drawback of the approach taken by [23] is the use of a semi-implicit numerical scheme for pressure, based on empirical coefficients that require further tuning. In the present paper, we improve the model of Ref.…”

“…In the present paper, we improve the model of Ref. [23] uations where the MSD is irregular or moves at large Froude number. To date, the majority of Lagrangian MSD models have focused on the early stages of an evolving flow, being inefficient for large-scale computations [15,25,26].…”